1
|
Crippa A, Maurand R, Bourdet L, Kotekar-Patil D, Amisse A, Jehl X, Sanquer M, Laviéville R, Bohuslavskyi H, Hutin L, Barraud S, Vinet M, Niquet YM, De Franceschi S. Electrical Spin Driving by g-Matrix Modulation in Spin-Orbit Qubits. PHYSICAL REVIEW LETTERS 2018; 120:137702. [PMID: 29694195 DOI: 10.1103/physrevlett.120.137702] [Citation(s) in RCA: 25] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2017] [Indexed: 06/08/2023]
Abstract
In a semiconductor spin qubit with sizable spin-orbit coupling, coherent spin rotations can be driven by a resonant gate-voltage modulation. Recently, we have exploited this opportunity in the experimental demonstration of a hole spin qubit in a silicon device. Here we investigate the underlying physical mechanisms by measuring the full angular dependence of the Rabi frequency, as well as the gate-voltage dependence and anisotropy of the hole g factor. We show that a g-matrix formalism can simultaneously capture and discriminate the contributions of two mechanisms so far independently discussed in the literature: one associated with the modulation of the g factor, and measurable by Zeeman energy spectroscopy, the other not. Our approach has a general validity and can be applied to the analysis of other types of spin-orbit qubits.
Collapse
Affiliation(s)
- Alessandro Crippa
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
| | - Romain Maurand
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
| | - Léo Bourdet
- Université Grenoble Alpes and CEA INAC-MEM, F-38000 Grenoble, France
| | | | - Anthony Amisse
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
| | - Xavier Jehl
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
| | - Marc Sanquer
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
| | - Romain Laviéville
- Université Grenoble Alpes and CEA LETI, MINATEC campus, F-38000 Grenoble, France
| | - Heorhii Bohuslavskyi
- Université Grenoble Alpes and CEA INAC-PHELIQS, F-38000 Grenoble, France
- Université Grenoble Alpes and CEA LETI, MINATEC campus, F-38000 Grenoble, France
| | - Louis Hutin
- Université Grenoble Alpes and CEA LETI, MINATEC campus, F-38000 Grenoble, France
| | - Sylvain Barraud
- Université Grenoble Alpes and CEA LETI, MINATEC campus, F-38000 Grenoble, France
| | - Maud Vinet
- Université Grenoble Alpes and CEA LETI, MINATEC campus, F-38000 Grenoble, France
| | | | | |
Collapse
|
2
|
Wang ZH, Zheng Q, Wang X, Li Y. The energy-level crossing behavior and quantum Fisher information in a quantum well with spin-orbit coupling. Sci Rep 2016; 6:22347. [PMID: 26931762 PMCID: PMC4773991 DOI: 10.1038/srep22347] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/20/2015] [Accepted: 02/10/2016] [Indexed: 11/09/2022] Open
Abstract
We study the energy-level crossing behavior in a two-dimensional quantum well with the Rashba and Dresselhaus spin-orbit couplings (SOCs). By mapping the SOC Hamiltonian onto an anisotropic Rabi model, we obtain the approximate ground state and its quantum Fisher information (QFI) via performing a unitary transformation. We find that the energy-level crossing can occur in the quantum well system within the available parameters rather than in cavity and circuit quantum eletrodynamics systems. Furthermore, the influence of two kinds of SOCs on the QFI is investigated and an intuitive explanation from the viewpoint of the stationary perturbation theory is given.
Collapse
Affiliation(s)
- Z H Wang
- Center for Quantum Sciences, Northeast Normal University, Changchun 130117, China.,Beijing Computational Science Research Center, Beijing 100094, China
| | - Q Zheng
- Beijing Computational Science Research Center, Beijing 100094, China.,School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China
| | - Xiaoguang Wang
- Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Yong Li
- Beijing Computational Science Research Center, Beijing 100094, China.,Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| |
Collapse
|
3
|
Čadež T, Jefferson JH, Ramšak A. Exact nonadiabatic holonomic transformations of spin-orbit qubits. PHYSICAL REVIEW LETTERS 2014; 112:150402. [PMID: 24785014 DOI: 10.1103/physrevlett.112.150402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/06/2014] [Indexed: 06/03/2023]
Abstract
An exact analytical solution is derived for the wave function of an electron in a one-dimensional moving quantum dot in a nanowire, in the presence of time-dependent spin-orbit coupling. For cyclic evolutions we show that the spin of the electron is rotated by an angle proportional to the area of a closed loop in the parameter space of the time-dependent quantum dot position and the amplitude of a fictitious classical oscillator driven by time-dependent spin-orbit coupling. By appropriate choice of parameters, we show that the spin may be rotated by an arbitrary angle on the Bloch sphere. Exact expressions for dynamical and geometrical phases are also derived.
Collapse
Affiliation(s)
- T Čadež
- Jožef Stefan Institute, 1000 Ljubljana, Slovenia and Institute of Mathematics, Physics and Mechanics, 1000 Ljubljana, Slovenia
| | - J H Jefferson
- Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
| | - A Ramšak
- Jožef Stefan Institute, 1000 Ljubljana, Slovenia and Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
| |
Collapse
|
4
|
Rivas D, Muñoz-Matutano G, Canet-Ferrer J, García-Calzada R, Trevisi G, Seravalli L, Frigeri P, Martínez-Pastor JP. Two-color single-photon emission from InAs quantum dots: toward logic information management using quantum light. NANO LETTERS 2014; 14:456-463. [PMID: 24422533 DOI: 10.1021/nl403364h] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In this work, we propose the use of the Hanbury-Brown and Twiss interferometric technique and a switchable two-color excitation method for evaluating the exciton and noncorrelated electron-hole dynamics associated with single photon emission from indium arsenide (InAs) self-assembled quantum dots (QDs). Using a microstate master equation model we demonstrate that our single QDs are described by nonlinear exciton dynamics. The simultaneous detection of two-color, single photon emission from InAs QDs using these nonlinear dynamics was used to design a NOT AND logic transference function. This computational functionality combines the advantages of working with light/photons as input/output device parameters (all-optical system) and that of a nanodevice (QD size of ∼ 20 nm) while also providing high optical sensitivity (ultralow optical power operational requirements). These system features represent an important and interesting step toward the development of new prototypes for the incoming quantum information technologies.
Collapse
Affiliation(s)
- David Rivas
- UMDO (Unidad Asociada al CSIC-IMM), Instituto de Ciencia de Materiales, Universidad de Valencia , P.O. Box 22085, 4607 Valencia, Spain
| | | | | | | | | | | | | | | |
Collapse
|
5
|
Jin J, Tu MWY, Wang NE, Zhang WM. Precision control of charge coherence in parallel double dot systems through spin-orbit interaction. J Chem Phys 2013; 139:064706. [PMID: 23947879 DOI: 10.1063/1.4817850] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In terms of the exact quantum master equation solution for open electronic systems, the coherent dynamics of two charge states described by two parallel quantum dots with one fully polarized electron on either dot is investigated in the presence of spin-orbit interaction. We demonstrate that the double dot system can stay in a dynamically decoherence free space. The coherence between two double dot charge states can be precisely manipulated through a spin-orbit coupling. The effects of the temperature, the finite bandwidth of lead, and the energy deviations during the coherence manipulation are also explored.
Collapse
Affiliation(s)
- Jinshuang Jin
- Department of Physics, Hangzhou Normal University, Hangzhou 310036, China.
| | | | | | | |
Collapse
|
6
|
Szumniak P, Bednarek S, Partoens B, Peeters FM. Spin-orbit-mediated manipulation of heavy-hole spin qubits in gated semiconductor nanodevices. PHYSICAL REVIEW LETTERS 2012; 109:107201. [PMID: 23005320 DOI: 10.1103/physrevlett.109.107201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/10/2012] [Indexed: 06/01/2023]
Abstract
A novel spintronic nanodevice is proposed that is able to manipulate the single heavy-hole spin state in a coherent manner. It can act as a single quantum logic gate. The heavy-hole spin transformations are realized by transporting the hole around closed loops defined by metal gates deposited on top of the nanodevice. The device exploits Dresselhaus spin-orbit interaction, which translates the spatial motion of the hole into a rotation of the spin. The proposed quantum gate operates on subnanosecond time scales and requires only the application of a weak static voltage which allows for addressing heavy-hole spin qubits individually. Our results are supported by quantum mechanical time-dependent calculations within the four-band Luttinger-Kohn model.
Collapse
Affiliation(s)
- P Szumniak
- Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, Poland
| | | | | | | |
Collapse
|
7
|
Debray P, Rahman SMS, Wan J, Newrock RS, Cahay M, Ngo AT, Ulloa SE, Herbert ST, Muhammad M, Johnson M. All-electric quantum point contact spin-polarizer. NATURE NANOTECHNOLOGY 2009; 4:759-764. [PMID: 19893512 DOI: 10.1038/nnano.2009.240] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2009] [Accepted: 07/24/2009] [Indexed: 05/28/2023]
Abstract
The controlled creation, manipulation and detection of spin-polarized currents by purely electrical means remains a central challenge of spintronics. Efforts to meet this challenge by exploiting the coupling of the electron orbital motion to its spin, in particular Rashba spin-orbit coupling, have so far been unsuccessful. Recently, it has been shown theoretically that the confining potential of a small current-carrying wire with high intrinsic spin-orbit coupling leads to the accumulation of opposite spins at opposite edges of the wire, though not to a spin-polarized current. Here, we present experimental evidence that a quantum point contact -- a short wire -- made from a semiconductor with high intrinsic spin-orbit coupling can generate a completely spin-polarized current when its lateral confinement is made highly asymmetric. By avoiding the use of ferromagnetic contacts or external magnetic fields, such quantum point contacts may make feasible the development of a variety of semiconductor spintronic devices.
Collapse
Affiliation(s)
- P Debray
- Department of Physics, University of Cincinnati, Cincinnati, OH 45221, USA.
| | | | | | | | | | | | | | | | | | | |
Collapse
|
8
|
Donarini A, Begemann G, Grifoni M. All-electric spin control in interference single electron transistors. NANO LETTERS 2009; 9:2897-2902. [PMID: 19719108 DOI: 10.1021/nl901199p] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Single particle interference lies at the heart of quantum mechanics. The archetypal double-slit experiment(1) has been repeated with electrons in vacuum(2,3) up to the more massive C(60) molecules.(4) Mesoscopic rings threaded by a magnetic flux provide the solid-state analogues.(5,6) Intramolecular interference has been recently discussed in molecular junctions.(7-11) Here we propose to exploit interference to achieve all-electrical control of a single electron spin in quantum dots, a highly desirable property for spintronics(12-14) and spin-qubit applications.(15-19) The device consists of an interference single electron transistor,(10,11) where destructive interference between orbitally degenerate electronic states produces current blocking at specific bias voltages. We show that in the presence of parallel polarized ferromagnetic leads the interplay between interference and the exchange interaction on the system generates an effective energy renormalization yielding different blocking biases for majority and minority spins. Hence, by tuning the bias voltage full control over the spin of the trapped electron is achieved.
Collapse
Affiliation(s)
- Andrea Donarini
- Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
| | | | | |
Collapse
|
9
|
Lu Z, Zhu KD, Li JJ, Jiang YW. Phonon-induced decoherence of spin-orbit-driven coherent oscillations in a single InGaAs quantum dot. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2008; 20:465207. [PMID: 21693847 DOI: 10.1088/0953-8984/20/46/465207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The effect of direct spin-phonon interactions on spin-orbit-driven coherent oscillations in a single quantum dot proposed by Debald and Emary (2005 Phys. Rev. Lett. 94 226803) is investigated theoretically in terms of the perturbation treatment based on a unitary transformation. It is shown that the decoherence rate induced by acoustic phonons strongly depends on the spin-orbit coupling strength, the magnetic field strength and the dot size.
Collapse
Affiliation(s)
- Zhien Lu
- Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
| | | | | | | |
Collapse
|
10
|
Kumada N, Kamada T, Miyashita S, Hirayama Y, Fujisawa T. Electric field induced nuclear spin resonance mediated by oscillating electron spin domains in GaAs-based semiconductors. PHYSICAL REVIEW LETTERS 2008; 101:137602. [PMID: 18851494 DOI: 10.1103/physrevlett.101.137602] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2008] [Indexed: 05/26/2023]
Abstract
We demonstrate an alternative nuclear spin resonance using a radio frequency (rf) electric field [nuclear electric resonance (NER)] instead of a magnetic field. The NER is based on the electronic control of electron spins forming a domain structure. The rf electric field applied to a gate excites spatial oscillations of the domain walls and thus temporal oscillations of the hyperfine field to nuclear spins. The rf power and burst duration dependence of the NER spectrum provides insight into the interplay between nuclear spins and the oscillating domain walls.
Collapse
Affiliation(s)
- N Kumada
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi 243-0198, Japan
| | | | | | | | | |
Collapse
|
11
|
Nowack KC, Koppens FHL, Nazarov YV, Vandersypen LMK. Coherent Control of a Single Electron Spin with Electric Fields. Science 2007; 318:1430-3. [PMID: 17975030 DOI: 10.1126/science.1148092] [Citation(s) in RCA: 246] [Impact Index Per Article: 14.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Affiliation(s)
- K C Nowack
- Kavli Institute of Nanoscience, Delft University of Technology, Post Office Box 5046, 2600 GA Delft, the Netherlands.
| | | | | | | |
Collapse
|
12
|
Fasth C, Fuhrer A, Samuelson L, Golovach VN, Loss D. Direct measurement of the spin-orbit interaction in a two-electron InAs nanowire quantum dot. PHYSICAL REVIEW LETTERS 2007; 98:266801. [PMID: 17678116 DOI: 10.1103/physrevlett.98.266801] [Citation(s) in RCA: 79] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2007] [Indexed: 05/16/2023]
Abstract
We demonstrate control of the electron number down to the last electron in tunable few-electron quantum dots defined in catalytically grown InAs nanowires. Using low temperature transport spectroscopy in the Coulomb blockade regime, we propose a method to directly determine the magnitude of the spin-orbit interaction in a two-electron artificial atom with strong spin-orbit coupling. Because of a large effective g factor |g(*)|=8+/-1, the transition from a singlet S to a triplet T+ ground state with increasing magnetic field is dominated by the Zeeman energy rather than by orbital effects. We find that the spin-orbit coupling mixes the T+ and S states and thus induces an avoided crossing with magnitude Delta(SO)=0.25+/-0.05 meV. This allows us to calculate the spin-orbit length lambda(SO) approximately 127 nm in such systems using a simple model.
Collapse
Affiliation(s)
- C Fasth
- Solid State Physics/Nanometer Consortium, Lund University, P.O. Box 118 Lund, Sweden
| | | | | | | | | |
Collapse
|
13
|
Flindt C, Sørensen AS, Flensberg K. Spin-orbit mediated control of spin qubits. PHYSICAL REVIEW LETTERS 2006; 97:240501. [PMID: 17280261 DOI: 10.1103/physrevlett.97.240501] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/21/2006] [Indexed: 05/13/2023]
Abstract
We propose to use the spin-orbit interaction as a means to control electron spins in quantum dots, enabling both single-qubit and two-qubit operations. Very fast single-qubit operations may be achieved by temporarily displacing the electrons. For two-qubit operations the coupling mechanism is based on a combination of the spin-orbit coupling and the mutual long-ranged Coulomb interaction. Compared to existing schemes using the exchange coupling, the spin-orbit induced coupling is less sensitive to random electrical fluctuations in the electrodes defining the quantum dots.
Collapse
Affiliation(s)
- Christian Flindt
- Niels Bohr Institute, Universitetsparken 5, DK-2100 Copenhagen, Denmark
| | | | | |
Collapse
|