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Xu Y, Jin J, Wang S, Yan Y. Memory-effect-preserving quantum master equation approach to noise spectrum of transport current. Phys Rev E 2022; 106:064130. [PMID: 36671117 DOI: 10.1103/physreve.106.064130] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/25/2022] [Accepted: 11/28/2022] [Indexed: 06/17/2023]
Abstract
Within the time-nonlocal quantum master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density operators, we propose a practical and very efficient time-local equation of motion implementation to compute the noise spectrum, which contains the full information of emission and absorption. We obtain an analytical expression to characterize the nonequilibrium transport including Coulomb interaction and memory effect. We demonstrate the proposed method with double quantum dots systems and find good agreement with the exact results, whenever the system-reservoir coupling is smaller than the temperature.
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Affiliation(s)
- Yishan Xu
- School of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, China
| | - Jinshuang Jin
- School of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, China
| | - Shikuan Wang
- Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China
| | - YiJing Yan
- Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
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2
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Mao H, Jin J, Wang S, Yan Y. Nonequilibrium Kondo regime current noise spectrum of quantum dot systems with the single impurity Anderson model. J Chem Phys 2021; 155:014104. [PMID: 34241380 DOI: 10.1063/5.0045346] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We investigate the nonequilibrium current noise spectrum of single impurity Anderson model quantum dot systems on the basis of the accurate dissipation equation of motion evaluations. By comparing between the equilibrium and nonequilibrium cases and between the non-Kondo and Kondo regimes, we identify the current noise spectrum of the nonequilibrium Kondo features that actually appear in the entire region of ω ∈ [-eV, eV]. It is well known that the primary Kondo characteristics at ω = ±eV = ±(μL - μR) display asymmetrical upturns and remarkable peaks in S(ω) and dS(ω)/dω, respectively. These features are originated from the Rabi interference of the transport current dynamics, with the Kondo oscillation frequency of |eV|. Moreover, we also identify the minor but very distinguishable inflections, crossing over from ω = -eV to ω = +eV. This uncovered feature would be related to the interference between two Kondo resonance channels.
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Affiliation(s)
- Hong Mao
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, China
| | - Jinshuang Jin
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, China
| | - Shikuan Wang
- Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China
| | - YiJing Yan
- Hefei National Laboratory for Physical Sciences at the Microscale & i ChEM, University of Science and Technology of China, Hefei, Anhui 230026, China
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3
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Watfa D, Delagrange R, Kadlecová A, Ferrier M, Kasumov A, Bouchiat H, Deblock R. Collapse of the Josephson Emission in a Carbon Nanotube Junction in the Kondo Regime. PHYSICAL REVIEW LETTERS 2021; 126:126801. [PMID: 33834825 DOI: 10.1103/physrevlett.126.126801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2020] [Accepted: 02/17/2021] [Indexed: 06/12/2023]
Abstract
We probe the high frequency emission of a carbon nanotube based Josephson junction and compare it to its dc Josephson current. The ac emission is probed by coupling the carbon nanotube to an on-chip detector (a superconductor-insulator-superconductor junction), via a coplanar waveguide resonator. The measurement of the photoassisted current of the detector gives direct access to the signal emitted by the carbon nanotube. We focus on the gate regions that exhibit Kondo features in the normal state and demonstrate that when the dc supercurrent is enhanced by the Kondo effect, the ac Josephson effect is strongly reduced. This result is compared to numerical renormalization group theory and is attributed to a transition between the singlet ground state and the doublet excited state which is enabled only when the junction is driven out-of-equilibrium by a voltage bias.
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Affiliation(s)
- D Watfa
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - R Delagrange
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - A Kadlecová
- Department of Condensed Matter Physics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 5, CZ-121 16 Praha 2, Czech Republic
| | - M Ferrier
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - A Kasumov
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - H Bouchiat
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - R Deblock
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
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4
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Bülte J, Bednorz A, Bruder C, Belzig W. Noninvasive Quantum Measurement of Arbitrary Operator Order by Engineered Non-Markovian Detectors. PHYSICAL REVIEW LETTERS 2018; 120:140407. [PMID: 29694141 DOI: 10.1103/physrevlett.120.140407] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2017] [Revised: 10/30/2017] [Indexed: 06/08/2023]
Abstract
The development of solid-state quantum technologies requires the understanding of quantum measurements in interacting, nonisolated quantum systems. In general, a permanent coupling of detectors to a quantum system leads to memory effects that have to be taken into account in interpreting the measurement results. We analyze a generic setup of two detectors coupled to a quantum system and derive a compact formula in the weak-measurement limit that interpolates between an instantaneous (text-book type) and almost continuous-detector dynamics-dependent-measurement. A quantum memory effect that we term "system-mediated detector-detector interaction" is crucial to observe noncommuting observables simultaneously. Finally, we propose a mesoscopic double-dot detector setup in which the memory effect is tunable and that can be used to explore the transition to non-Markovian quantum measurements experimentally.
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Affiliation(s)
- Johannes Bülte
- Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany
| | - Adam Bednorz
- Faculty of Physics, University of Warsaw, Pasteura 5, PL02-093 Warsaw, Poland
| | - Christoph Bruder
- Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
| | - Wolfgang Belzig
- Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany
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5
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Crépieux A, Sahoo S, Duong TQ, Zamoum R, Lavagna M. Emission Noise in an Interacting Quantum Dot: Role of Inelastic Scattering and Asymmetric Coupling to the Reservoirs. PHYSICAL REVIEW LETTERS 2018; 120:107702. [PMID: 29570316 DOI: 10.1103/physrevlett.120.107702] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Indexed: 06/08/2023]
Abstract
A theory is developed for the emission noise at frequency ν in a quantum dot in the presence of Coulomb interactions and asymmetric couplings to the reservoirs. We give an analytical expression for the noise in terms of the various transmission amplitudes. Including the inelastic scattering contribution, it can be seen as the analog of the Meir-Wingreen formula for the current. A physical interpretation is given on the basis of the transmission of one electron-hole pair to the concerned reservoir where it emits an energy after recombination. We then treat the interactions by solving the self-consistent equations of motion for the Green functions. The results for the noise derivative versus eV show a zero value until eV=hν, followed by a Kondo peak in the Kondo regime, in good agreement with recent measurements in carbon nanotube quantum dots.
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Affiliation(s)
- A Crépieux
- Aix Marseille Univ, Université de Toulon, CNRS, CPT UMR 7332, 13288 Marseille, France
| | - S Sahoo
- Univ. Grenoble Alpes, CEA, INAC-Pheliqs, 38000 Grenoble, France
- Physics Department and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany
| | - T Q Duong
- Aix Marseille Univ, Université de Toulon, CNRS, CPT UMR 7332, 13288 Marseille, France
| | - R Zamoum
- Faculté des sciences et des sciences appliquées, Université de Bouira, rue Drissi Yahia, Bouira 10000, Algeria
| | - M Lavagna
- Univ. Grenoble Alpes, CEA, INAC-Pheliqs, 38000 Grenoble, France
- Centre National de la Recherche Scientifique-CNRS, 38042 Grenoble, France
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6
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Moca CP, Mora C, Weymann I, Zaránd G. Noise of a Chargeless Fermi Liquid. PHYSICAL REVIEW LETTERS 2018; 120:016803. [PMID: 29350969 DOI: 10.1103/physrevlett.120.016803] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2017] [Revised: 10/17/2017] [Indexed: 06/07/2023]
Abstract
We construct a Fermi liquid theory to describe transport in a superconductor-quantum dot-normal metal junction close to the singlet-doublet (parity changing) transition of the dot. Though quasiparticles do not have a definite charge in this chargeless Fermi liquid, in the case of particle-hole symmetry, a mapping to the Anderson model unveils a hidden U(1) symmetry and a corresponding pseudocharge. In contrast to other correlated Fermi liquids, the back scattering noise reveals an effective charge equal to the charge of Cooper pairs, e^{*}=2e. In addition, we find a strong suppression of noise when the linear conductance is unitary, even for its nonlinear part.
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Affiliation(s)
- Cătălin Paşcu Moca
- BME-MTA Exotic Quantum Phase Group, Institute of Physics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
- Department of Physics, University of Oradea, 410087 Oradea, Romania
| | - Christophe Mora
- Laboratoire Pierre Aigrain, École Normale Supérieure, Université Paris 7 Diderot, CNRS, 24 rue Lhomond, 75005 Paris, France
| | - Ireneusz Weymann
- Faculty of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland
| | - Gergely Zaránd
- BME-MTA Exotic Quantum Phase Group, Institute of Physics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary
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7
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Väyrynen JI, Glazman LI. Current Noise from a Magnetic Moment in a Helical Edge. PHYSICAL REVIEW LETTERS 2017; 118:106802. [PMID: 28339237 DOI: 10.1103/physrevlett.118.106802] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2016] [Indexed: 06/06/2023]
Abstract
We calculate the two-terminal current noise generated by a magnetic moment coupled to a helical edge of a two-dimensional topological insulator. When the system is symmetric with respect to in-plane spin rotation, the noise is dominated by the Nyquist component even in the presence of a voltage bias V. The corresponding noise spectrum S(V,ω) is determined by a modified fluctuation-dissipation theorem with the differential conductance G(V,ω) in place of the linear one. The differential noise ∂S/∂V, commonly measured in experiments, is strongly dependent on frequency on a small scale τ_{K}^{-1}≪T set by the Korringa relaxation rate of the local moment. This is in stark contrast to the case of conventional mesoscopic conductors where ∂S/∂V is frequency independent and defined by the shot noise. In a helical edge, a violation of the spin-rotation symmetry leads to the shot noise, which becomes important only at a high bias. Uncharacteristically for a fermion system, this noise in the backscattered current is super-Poissonian.
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Affiliation(s)
- Jukka I Väyrynen
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Leonid I Glazman
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
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8
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Jin J, Wang S, Zheng X, Yan Y. Current noise spectra and mechanisms with dissipaton equation of motion theory. J Chem Phys 2015; 142:234108. [DOI: 10.1063/1.4922712] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Jinshuang Jin
- Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China
| | - Shikuan Wang
- Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Xiao Zheng
- Hefei National Laboratory for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - YiJing Yan
- Hefei National Laboratory for Physical Sciences at the Microscale and iChEM, University of Science and Technology of China, Hefei, Anhui 230026, China
- Department of Chemistry, Hong Kong University of Science and Technology, Hong Kong, China
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9
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Parlavecchio O, Altimiras C, Souquet JR, Simon P, Safi I, Joyez P, Vion D, Roche P, Esteve D, Portier F. Fluctuation-dissipation relations of a tunnel junction driven by a quantum circuit. PHYSICAL REVIEW LETTERS 2015; 114:126801. [PMID: 25860764 DOI: 10.1103/physrevlett.114.126801] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/28/2014] [Indexed: 06/04/2023]
Abstract
We derive fluctuation-dissipation relations for a tunnel junction driven through a resonator displaying strong quantum fluctuations. We find that the fluctuation-dissipation relations derived for classical external drives hold, provided the effect of the circuit's quantum fluctuations is incorporated into the modified nonlinear current voltage characteristics. We also demonstrate that all quantities measured under a time dependent bias can be reconstructed from their values measured under a dc bias using photoassisted tunneling relations. We confirm these predictions by implementing the circuit and measuring the dc current through the junction, its high frequency admittance, and its current noise at the frequency of the resonator.
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Affiliation(s)
- O Parlavecchio
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - C Altimiras
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - J-R Souquet
- Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
| | - P Simon
- Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
| | - I Safi
- Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
| | - P Joyez
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - D Vion
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - P Roche
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - D Esteve
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
| | - F Portier
- SPEC (UMR 3680 CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette, France
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10
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Detecting noise with shot noise using on-chip photon detector. Nat Commun 2015; 6:6130. [PMID: 25625934 DOI: 10.1038/ncomms7130] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2014] [Accepted: 12/16/2014] [Indexed: 11/08/2022] Open
Abstract
The high-frequency radiation emitted by a quantum conductor presents a rising interest in quantum physics and condensed matter. However, its detection with microwave circuits is challenging. Here, we propose to use the photon-assisted shot noise for on-chip radiation detection. It is based on the low-frequency current noise generated by the partitioning of photon-excited electrons and holes, which are scattered inside the conductor. For a given electromagnetic coupling to the radiation, the photon-assisted shot noise response is shown to be independent on the nature and geometry of the quantum conductor used for the detection, up to a Fano factor, characterizing the type of scattering mechanism. Ordered in temperature or frequency range, from few tens of mK or GHz to several hundred of K or THz respectively, a wide variety of conductors can be used like Quantum Point Contacts (this work), diffusive metallic or semi-conducting films, graphene, carbon nanotubes and even molecule, opening new experimental opportunities in quantum physics.
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Camjayi A, Arrachea L. Mesoscopic features in the transport properties of a Kondo-correlated quantum dot in a magnetic field. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:035602. [PMID: 24351510 DOI: 10.1088/0953-8984/26/3/035602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We study the transport behavior induced by a small bias voltage through a quantum dot connected to one-channel finite-size wires. We describe the quantum dot using the Hubbard-Anderson impurity model and we obtain solutions by means of a quantum Monte Carlo method. We investigate the effect of a magnetic field applied at the quantum dot in the Kondo regime. We identify mesoscopic oscillations in the conductance, which are introduced by the magnetic field. This behavior is analogous to that observed as a function of the temperature.
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Affiliation(s)
- Alberto Camjayi
- Departamento de Física, FCEyN and IFIBA, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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