Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits

被引：27

作者：

Cadez, T. ^{[1
,2
]}

Jefferson, J. H. ^{[3
]}

Ramsak, A. ^{[1
,4
]}

机构：

[1] Jozef Stefan Inst, Ljubljana 1000, Slovenia

[2] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

[3] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England

[4] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

来源：

PHYSICAL REVIEW LETTERS | 2014年 / 112卷 / 15期

关键词：

SINGLE-ELECTRON SPIN; QUANTUM;

D O I：

10.1103/PhysRevLett.112.150402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

共 48 条

[1] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].

AHARONOV, Y ;

ANANDAN, J .

PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596

[2] NON-ADIABATIC NON-ABELIAN GEOMETRIC PHASE [J].

ANANDAN, J .

PHYSICS LETTERS A, 1988, 133 (4-5) :171-175

[3] Fast and Robust Spin Manipulation in a Quantum Dot by Electric Fields [J].

Ban, Yue ;

Chen, Xi ;

Ya Sherman, E. ;

Muga, J. G. .

PHYSICAL REVIEW LETTERS, 2012, 109 (20)

[4] Analytically solvable two-level quantum systems and Landau-Zener interferometry [J].

Barnes, Edwin .

PHYSICAL REVIEW A, 2013, 88 (01)

[5] Analytically Solvable Driven Time-Dependent Two-Level Quantum Systems [J].

Barnes, Edwin ;

Das Sarma, S. .

PHYSICAL REVIEW LETTERS, 2012, 109 (06)

[6] Spin Rotations Induced by an Electron Running in Closed Trajectories in Gated Semiconductor Nanodevices [J].

Bednarek, S. ;

Szafran, B. .

PHYSICAL REVIEW LETTERS, 2008, 101 (21)

[7] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[8]

Bohm A., 2003, TEXT MONOGR

[9] OSCILLATORY EFFECTS AND THE MAGNETIC-SUSCEPTIBILITY OF CARRIERS IN INVERSION-LAYERS [J].

BYCHKOV, YA ;

RASHBA, EI .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (33) :6039-6045

[10] A non-adiabatically driven electron in a quantum wire with spin-orbit interaction [J].

Cadez, T. ;

Jefferson, J. H. ;

Ramsak, A. .

NEW JOURNAL OF PHYSICS, 2013, 15

← 1 2 3 4 5 →