1
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Ruckriegel MJ, Gächter LM, Kealhofer D, Bahrami Panah M, Tong C, Adam C, Masseroni M, Duprez H, Garreis R, Watanabe K, Taniguchi T, Wallraff A, Ihn T, Ensslin K, Huang WW. Electric Dipole Coupling of a Bilayer Graphene Quantum Dot to a High-Impedance Microwave Resonator. NANO LETTERS 2024; 24:7508-7514. [PMID: 38833415 PMCID: PMC11194813 DOI: 10.1021/acs.nanolett.4c01791] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/16/2024] [Revised: 05/31/2024] [Accepted: 05/31/2024] [Indexed: 06/06/2024]
Abstract
We implement circuit quantum electrodynamics (cQED) with quantum dots in bilayer graphene, a maturing material platform that can host long-lived spin and valley states. Our device combines a high-impedance (Zr ≈ 1 kΩ) superconducting microwave resonator with a double quantum dot electrostatically defined in a graphene-based van der Waals heterostructure. Electric dipole coupling between the subsystems allows the resonator to sense the electric susceptibility of the double quantum dot from which we reconstruct its charge stability diagram. We achieve sensitive and fast detection of the interdot transition with a signal-to-noise ratio of 3.5 within 1 μs integration time. The charge-photon interaction is quantified in the dispersive and resonant regimes by comparing the resonator response to input-output theory, yielding a coupling strength of g/2π = 49.7 MHz. Our results introduce cQED as a probe for quantum dots in van der Waals materials and indicate a path toward coherent charge-photon coupling with bilayer graphene quantum dots.
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Affiliation(s)
- Max J. Ruckriegel
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Lisa M. Gächter
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - David Kealhofer
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Mohsen Bahrami Panah
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
- Quantum
Center, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Chuyao Tong
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Christoph Adam
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Michele Masseroni
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Hadrien Duprez
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Rebekka Garreis
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Kenji Watanabe
- Research
Center for Electronic and Optical Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Takashi Taniguchi
- Research
Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
| | - Andreas Wallraff
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
- Quantum
Center, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Thomas Ihn
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
- Quantum
Center, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Klaus Ensslin
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
- Quantum
Center, ETH Zürich, CH-8093 Zürich, Switzerland
| | - Wei Wister Huang
- Laboratory
for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
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2
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Li X, Sui J, Fang J. Single-Electron Transport and Detection of Graphene Quantum Dots. NANOMATERIALS (BASEL, SWITZERLAND) 2023; 13:889. [PMID: 36903766 PMCID: PMC10005777 DOI: 10.3390/nano13050889] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/10/2023] [Revised: 02/22/2023] [Accepted: 02/24/2023] [Indexed: 06/18/2023]
Abstract
The integrated structure of graphene single-electron transistor and nanostrip electrometer was prepared using the semiconductor fabrication process. Through the electrical performance test of the large sample number, qualified devices were selected from low-yield samples, which exhibited an obvious Coulomb blockade effect. The results show that the device can deplete the electrons in the quantum dot structure at low temperatures, thus, accurately controlling the number of electrons captured by the quantum dot. At the same time, the nanostrip electrometer coupled with the quantum dot can be used to detect the quantum dot signal, that is, the change in the number of electrons in the quantum dot, because of its quantized conductivity characteristics.
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Affiliation(s)
- Xinxing Li
- School of Physics and Electronics, Central South University, Changsha 410083, China
- Key Laboratory of Nanodevices, Suzhou Institute of Nano-Tech and Nano-Bionics, CAS, Suzhou 215213, China
| | - Jinggao Sui
- National Innovation Institute of Defense Technology, Academy of Military Sciences PLA China, Beijing 100071, China
| | - Jingyue Fang
- School of Physics and Electronics, Central South University, Changsha 410083, China
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3
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Ghirri A, Cornia S, Affronte M. Microwave Photon Detectors Based on Semiconducting Double Quantum Dots. SENSORS (BASEL, SWITZERLAND) 2020; 20:s20144010. [PMID: 32707648 PMCID: PMC7412044 DOI: 10.3390/s20144010] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2020] [Revised: 07/01/2020] [Accepted: 07/15/2020] [Indexed: 05/14/2023]
Abstract
Detectors of microwave photons find applications in different fields ranging from security to cosmology. Due to the intrinsic difficulties related to the detection of vanishingly small energy quanta ℏ ω , significant portions of the microwave electromagnetic spectrum are still uncovered by suitable techniques. No prevailing technology has clearly emerged yet, although different solutions have been tested in different contexts. Here, we focus on semiconductor quantum dots, which feature wide tunability by external gate voltages and scalability for large architectures. We discuss possible pathways for the development of microwave photon detectors based on photon-assisted tunneling in semiconducting double quantum dot circuits. In particular, we consider implementations based on either broadband transmission lines or resonant cavities, and we discuss how developments in charge sensing techniques and hybrid architectures may be beneficial for the development of efficient photon detectors in the microwave range.
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Affiliation(s)
- Alberto Ghirri
- Istituto Nanoscienze-CNR, via Campi 213/a, 41125 Modena, Italy; (S.C.); (M.A.)
- Correspondence:
| | - Samuele Cornia
- Istituto Nanoscienze-CNR, via Campi 213/a, 41125 Modena, Italy; (S.C.); (M.A.)
- Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, via Campi 213/a, 41125 Modena, Italy
| | - Marco Affronte
- Istituto Nanoscienze-CNR, via Campi 213/a, 41125 Modena, Italy; (S.C.); (M.A.)
- Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, via Campi 213/a, 41125 Modena, Italy
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4
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Russ M, Péterfalvi CG, Burkard G. Theory of valley-resolved spectroscopy of a Si triple quantum dot coupled to a microwave resonator. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:165301. [PMID: 31829981 DOI: 10.1088/1361-648x/ab613f] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We theoretically study a silicon triple quantum dot (TQD) system coupled to a superconducting microwave resonator. The response signal of an injected probe signal can be used to extract information about the level structure by measuring the transmission and phase shift of the output field. This information can further be used to gain knowledge about the valley splittings and valley phases in the individual dots. Since relevant valley states are typically split by several [Formula: see text], a finite temperature or an applied external bias voltage is required to populate energetically excited states. The theoretical methods in this paper include a capacitor model to fit experimental charging energies, an extended Hubbard model to describe the tunneling dynamics, a rate equation model to find the occupation probabilities, and an input-output model to determine the response signal of the resonator.
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5
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Deng GW, Xu N, Li WJ. Gate-Defined Quantum Dots: Fundamentals and Applications. QUANTUM DOT OPTOELECTRONIC DEVICES 2020. [DOI: 10.1007/978-3-030-35813-6_4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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6
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Landig AJ, Koski JV, Scarlino P, Reichl C, Wegscheider W, Wallraff A, Ensslin K, Ihn T. Microwave-Cavity-Detected Spin Blockade in a Few-Electron Double Quantum Dot. PHYSICAL REVIEW LETTERS 2019; 122:213601. [PMID: 31283346 DOI: 10.1103/physrevlett.122.213601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2018] [Indexed: 06/09/2023]
Abstract
We investigate spin states of few electrons in a double quantum dot by coupling them to a magnetic field resilient NbTiN microwave resonator. The electric field of the resonator couples to the electric dipole moment of the charge states in the double dot. For a two-electron state the spin-triplet state has a vanishing electric dipole moment and can therefore be distinguished from the spin-singlet state. This way the charge dipole sensitivity of the resonator response is converted to a spin selectivity. We thereby investigate Pauli spin blockade known from transport experiments at finite source-drain bias. In addition we find an unconventional spin-blockade triggered by the absorption of resonator photons.
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Affiliation(s)
- A J Landig
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - J V Koski
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - P Scarlino
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - C Reichl
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - W Wegscheider
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - A Wallraff
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - K Ensslin
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - T Ihn
- Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
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7
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Mosallanejad V, Chiu KL, Guo GP. Coherent transport in Y-junction graphene waveguide. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:445301. [PMID: 30207300 DOI: 10.1088/1361-648x/aae09d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We performed a series of theoretical transport studies on Y-branch electron waveguides which are embedded in mid-size armchair graphene nanoribbons. Non-equilibrium Green's function with different approximations of tight-binding Hamiltonian has been employed. Using the first nearest hopping approximation, we observed very pronounced conductance quantization, the structure of which depends on geometrical design and shows a spacing of 4e 2/h, indicating the existence of valley degree of freedom. Moreover, by incorporating the third nearest approximation, we observed seminal plateaus deviated from multiples of 4e 2/h conductance, suggesting the lift of valley degeneracy. Finally, Quasi-one dimensional band structure calculations have been performed to study the availability of energy channels and the role of the major geometrical parameters on the transport.
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8
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Li Y, Li SX, Gao F, Li HO, Xu G, Wang K, Liu D, Cao G, Xiao M, Wang T, Zhang JJ, Guo GC, Guo GP. Coupling a Germanium Hut Wire Hole Quantum Dot to a Superconducting Microwave Resonator. NANO LETTERS 2018; 18:2091-2097. [PMID: 29468882 DOI: 10.1021/acs.nanolett.8b00272] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Realizing a strong coupling between spin and resonator is an important issue for scalable quantum computation in semiconductor systems. Benefiting from the advantages of a strong spin-orbit coupling strength and long coherence time, the Ge hut wire, which is proposed to be site-controlled grown for scalability, is considered to be a promising candidate to achieve this goal. Here we present a hybrid architecture in which an on-chip superconducting microwave resonator is coupled to the holes in a Ge quantum dot. The charge stability diagram can be obtained from the amplitude and phase responses of the resonator independently from the DC transport measurement. Furthermore, we estimate the hole-resonator coupling rate of gc/2π = 148 MHz in the single quantum dot-resonator system and estimate the spin-resonator coupling rate gs/2π to be in the range 2-4 MHz. We anticipate that strong coupling between hole spins and microwave photons in a Ge hut wire is feasible with optimized schemes in the future.
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Affiliation(s)
- Yan Li
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Shu-Xiao Li
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Fei Gao
- National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences , Beijing 100190 , China
- School of Physical Science, University of Chinese Academy of Sciences , Beijing 100190 , China
| | - Hai-Ou Li
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Gang Xu
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Ke Wang
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Di Liu
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Gang Cao
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Ming Xiao
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Ting Wang
- National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences , Beijing 100190 , China
- School of Physical Science, University of Chinese Academy of Sciences , Beijing 100190 , China
| | - Jian-Jun Zhang
- National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences , Beijing 100190 , China
- School of Physical Science, University of Chinese Academy of Sciences , Beijing 100190 , China
| | - Guang-Can Guo
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
| | - Guo-Ping Guo
- Key Laboratory of Quantum Information, CAS , University of Science and Technology of China , Hefei , Anhui 230026 , China
- Synergetic Innovation Center of Quantum Information & Quantum Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China
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9
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Cottet A, Dartiailh MC, Desjardins MM, Cubaynes T, Contamin LC, Delbecq M, Viennot JJ, Bruhat LE, Douçot B, Kontos T. Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:433002. [PMID: 28925381 DOI: 10.1088/1361-648x/aa7b4d] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Circuit QED techniques have been instrumental in manipulating and probing with exquisite sensitivity the quantum state of superconducting quantum bits coupled to microwave cavities. Recently, it has become possible to fabricate new devices in which the superconducting quantum bits are replaced by hybrid mesoscopic circuits combining nanoconductors and metallic reservoirs. This mesoscopic QED provides a new experimental playground to study the light-matter interaction in electronic circuits. Here, we present the experimental state of the art of mesoscopic QED and its theoretical description. A first class of experiments focuses on the artificial atom limit, where some quasiparticles are trapped in nanocircuit bound states. In this limit, the circuit QED techniques can be used to manipulate and probe electronic degrees of freedom such as confined charges, spins, or Andreev pairs. A second class of experiments uses cavity photons to reveal the dynamics of electron tunneling between a nanoconductor and fermionic reservoirs. For instance, the Kondo effect, the charge relaxation caused by grounded metallic contacts, and the photo-emission caused by voltage-biased reservoirs have been studied. The tunnel coupling between nanoconductors and fermionic reservoirs also enable one to obtain split Cooper pairs, or Majorana bound states. Cavity photons represent a qualitatively new tool to study these exotic condensed matter states.
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Affiliation(s)
- Audrey Cottet
- Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS UMR 8551, Laboratoire associé aux universités Pierre et Marie Curie et Denis Diderot, 24, rue Lhomond, 75231 Paris Cedex 05, France
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10
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Mi X, Péterfalvi CG, Burkard G, Petta JR. High-Resolution Valley Spectroscopy of Si Quantum Dots. PHYSICAL REVIEW LETTERS 2017; 119:176803. [PMID: 29219471 DOI: 10.1103/physrevlett.119.176803] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/21/2017] [Indexed: 06/07/2023]
Abstract
We study an accumulation mode Si/SiGe double quantum dot (DQD) containing a single electron that is dipole coupled to microwave photons in a superconducting cavity. Measurements of the cavity transmission reveal dispersive features due to the DQD valley states in Si. The occupation of the valley states can be increased by raising the temperature or applying a finite source-drain bias across the DQD, resulting in an increased signal. Using the cavity input-output theory and a four-level model of the DQD, it is possible to efficiently extract valley splittings and the inter- and intravalley tunnel couplings.
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Affiliation(s)
- X Mi
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - Csaba G Péterfalvi
- Department of Physics, University of Konstanz, D-78464 Konstanz, Germany
| | - Guido Burkard
- Department of Physics, University of Konstanz, D-78464 Konstanz, Germany
| | - J R Petta
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
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11
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Liu YY, Stehlik J, Eichler C, Mi X, Hartke TR, Gullans MJ, Taylor JM, Petta JR. Threshold Dynamics of a Semiconductor Single Atom Maser. PHYSICAL REVIEW LETTERS 2017; 119:097702. [PMID: 28949587 DOI: 10.1103/physrevlett.119.097702] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2017] [Indexed: 06/07/2023]
Abstract
We demonstrate a single atom maser consisting of a semiconductor double quantum dot (DQD) that is embedded in a high-quality-factor microwave cavity. A finite bias drives the DQD out of equilibrium, resulting in sequential single electron tunneling and masing. We develop a dynamic tuning protocol that allows us to controllably increase the time-averaged repumping rate of the DQD at a fixed level detuning, and quantitatively study the transition through the masing threshold. We further examine the crossover from incoherent to coherent emission by measuring the photon statistics across the masing transition. The observed threshold behavior is in agreement with an existing single atom maser theory when small corrections from lead emission are taken into account.
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Affiliation(s)
- Y-Y Liu
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - J Stehlik
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - C Eichler
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - X Mi
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - T R Hartke
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - M J Gullans
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park, Maryland 20742, USA
| | - J M Taylor
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park, Maryland 20742, USA
| | - J R Petta
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
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12
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Luo G, Zhang ZZ, Deng GW, Li HO, Cao G, Xiao M, Guo GC, Guo GP. Coupling graphene nanomechanical motion to a single-electron transistor. NANOSCALE 2017; 9:5608-5614. [PMID: 28422197 DOI: 10.1039/c6nr09768e] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Graphene-based electromechanical resonators have attracted great interest recently because of the outstanding mechanical and electrical properties of graphene and their various applications. However, the coupling between mechanical motion and charge transport has not been explored in graphene. Herein, we studied the mechanical properties of a suspended 50 nm wide graphene nanoribbon, which also acts as a single-electron transistor (SET) at low temperatures. Using the SET as a sensitive detector, we found that the resonance frequency could be tuned from 82 MHz to 100 MHz and the quality factor exceeded 30 000. The strong charge-mechanical coupling was demonstrated by observing the SET induced ∼140 kHz resonance frequency shifts and mechanical damping. We also found that the SET can enhance the nonlinearity of the resonator. Our SET-coupled graphene mechanical resonator could approach an ultra-sensitive mass resolution of ∼0.55 × 10-21 g and a force sensitivity of ∼1.9 × 10-19 N (Hz)-1/2, and can be further improved. These properties indicate that our device is a good platform for both fundamental physical studies and potential applications.
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Affiliation(s)
- Gang Luo
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei 230026, China.
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13
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Mi X, Cady JV, Zajac DM, Deelman PW, Petta JR. Strong coupling of a single electron in silicon to a microwave photon. Science 2017; 355:156-158. [DOI: 10.1126/science.aal2469] [Citation(s) in RCA: 175] [Impact Index Per Article: 25.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2016] [Accepted: 12/15/2016] [Indexed: 01/25/2023]
Affiliation(s)
- X. Mi
- Department of Physics, Princeton University, Princeton, NJ 08544, USA
| | - J. V. Cady
- Department of Physics, Princeton University, Princeton, NJ 08544, USA
| | - D. M. Zajac
- Department of Physics, Princeton University, Princeton, NJ 08544, USA
| | - P. W. Deelman
- HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, CA 90265, USA
| | - J. R. Petta
- Department of Physics, Princeton University, Princeton, NJ 08544, USA
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14
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Deng GW, Zhu D, Wang XH, Zou CL, Wang JT, Li HO, Cao G, Liu D, Li Y, Xiao M, Guo GC, Jiang KL, Dai XC, Guo GP. Strongly Coupled Nanotube Electromechanical Resonators. NANO LETTERS 2016; 16:5456-62. [PMID: 27487412 DOI: 10.1021/acs.nanolett.6b01875] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Coupling an electromechanical resonator with carbon-nanotube quantum dots is a significant method to control both the electronic charge and the spin quantum states. By exploiting a novel microtransfer technique, we fabricate two separate strongly coupled and electrically tunable mechanical resonators for the first time. The frequency of the two resonators can be individually tuned by the bottom gates, and in each resonator, the electron transport through the quantum dot can be strongly affected by the phonon mode and vice versa. Furthermore, the conductance of either resonator can be nonlocally modulated by the other resonator through phonon-phonon interaction between the two resonators. Strong coupling is observed between the phonon modes of the two resonators, where the coupling strength larger than 200 kHz can be reached. This strongly coupled nanotube electromechanical resonator array provides an experimental platform for future studies of the coherent electron-phonon interaction, the phonon-mediated long-distance electron interaction, and entanglement state generation.
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Affiliation(s)
- Guang-Wei Deng
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Dong Zhu
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Xin-He Wang
- State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics and Tsinghua-Foxconn Nanotechnology Research Center, Tsinghua University , Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter , Beijing 100084, China
| | - Chang-Ling Zou
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Jiang-Tao Wang
- State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics and Tsinghua-Foxconn Nanotechnology Research Center, Tsinghua University , Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter , Beijing 100084, China
| | - Hai-Ou Li
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Gang Cao
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Di Liu
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Yan Li
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Ming Xiao
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Guang-Can Guo
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
| | - Kai-Li Jiang
- State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics and Tsinghua-Foxconn Nanotechnology Research Center, Tsinghua University , Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter , Beijing 100084, China
| | - Xing-Can Dai
- State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics and Tsinghua-Foxconn Nanotechnology Research Center, Tsinghua University , Beijing 100084, China
- Collaborative Innovation Center of Quantum Matter , Beijing 100084, China
| | - Guo-Ping Guo
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences , Hefei 230026, China
- Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei, Anhui 230026, China
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15
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Li SX, Zhu D, Wang XH, Wang JT, Deng GW, Li HO, Cao G, Xiao M, Guo GC, Jiang KL, Dai XC, Guo GP. Parametric strong mode-coupling in carbon nanotube mechanical resonators. NANOSCALE 2016; 8:14809-14813. [PMID: 27447924 DOI: 10.1039/c6nr02853e] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Carbon nanotubes (CNTs) have attracted much attention for use in nanomechanical devices because of their exceptional properties, such as large resonant frequencies, low mass, and high quality factors. Here, we report the first experimental realization of parametric strong coupling between two mechanical modes on a single CNT nanomechanical resonator, by applying an extra microwave pump. This parametric pump method can be used to couple mechanical modes with arbitrary frequency differences. The properties of the mechanical resonator are detected by single-electron tunneling at low temperature, which is found to be strongly coupled to both modes. The coupling strength between the two modes can be tuned by the pump power, setting the coupling regime from weak to strong. This tunability may be useful in further phonon manipulations in carbon nanotubes.
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Affiliation(s)
- Shu-Xiao Li
- Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei 230026, China.
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16
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Liu YY, Stehlik J, Gullans MJ, Taylor JM, Petta JR. Injection Locking of a Semiconductor Double Quantum Dot Micromaser. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 2015; 92:053802. [PMID: 28127226 PMCID: PMC5259738 DOI: 10.1103/physreva.92.053802] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
Emission linewidth is an important figure of merit for masers and lasers. We recently demonstrated a semiconductor double quantum dot (DQD) micromaser where photons are generated through single electron tunneling events. Charge noise directly couples to the DQD energy levels, resulting in a maser linewidth that is more than 100 times larger than the Schawlow-Townes prediction. Here we demonstrate a linewidth narrowing of more than a factor 10 by locking the DQD emission to a coherent tone that is injected to the input port of the cavity. We measure the injection locking range as a function of cavity input power and show that it is in agreement with the Adler equation. The position and amplitude of distortion sidebands that appear outside of the injection locking range are quantitatively examined. Our results show that this unconventional maser, which is impacted by strong charge noise and electron-phonon coupling, is well described by standard laser models.
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Affiliation(s)
- Y-Y Liu
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - J Stehlik
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - M J Gullans
- Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA; Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, Maryland 20742, USA
| | - J M Taylor
- Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA; Joint Center for Quantum Information and Computer Science, University of Maryland, College Park, Maryland 20742, USA
| | - J R Petta
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA; Department of Physics, University of California, Santa Barbara, California 93106, USA
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