Non-adiabatically driven electron in quantum wire with spin-orbit interaction

Abstract

An exact solution is derived for the wave function of an electron in a semiconductor quantum wire with spin-orbit interaction and driven by external time dependent harmonic confining potential. The formalism allows analytical expressions for various quantities to be derived, such as spin and pseudo-spin rotations, energy and occupation probabilities for excited states. It is demonstrated how perfect spin and pseudo-spin flips can be achieved at high frequencies of order ω, the confining potential level spacing. By an appropriately chosen driving term, spin manipulation can be exactly performed far into the non-adiabatic regime. Implications for spin-polarised emission and spin-dependent transport are also discussed.

11 pages, 3 figures

References in corpus (13)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Electrons surfing on a sound wave as a platform for quantum optics with flying electrons
• On-demand single-electron transfer between distant quantum dots
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
• Electric-field-induced coherent coupling of the exciton states in a single quantum dot
• Two-qubit Gate of Combined Single Spin Rotation and Inter-dot Spin Exchange in a Double Quantum Dot
• Spin-Orbit Mediated Control of Spin Qubits
• Geometric phases in semiconductor spin qubits: Manipulations and decoherence
• Measurement, control, and decay of quantum-dot spins
• Spin rotations induced by electron running on closed trajectories in gated semiconductor nanodevices
• Quantum entanglement generation with surface acoustic waves

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• Electron spin rotations induced by oscillating Rashba interaction in a quantum wire
• Arbitrary qubit transformations on tuneable Rashba rings
• Interferometer for force measurement by shortcut-to-adiabatic arms guiding
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Shortcuts to adiabaticity in superconducting circuits for fast multi-partite state generation
• Exact unitary transformation for Rashba rings in magnetic and electric fields
• Exact spin-orbit qubit manipulation
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Fast electron spin flips via strong subcycle electric excitation
• Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
• Qubit transformations on Rashba ring with periodic potential
• Rashba controlled two-electron spin-charge qubits as building blocks of a quantum computer
• Controlling spin without magnetic fields -- the Bloch-Rashba rotator
• Effects of noise on fidelity in spin-orbit qubit transformations
• Extending third quantization with commuting observables: a dissipative spin-boson model
• Indirect control of spin precession by electric field via spin-orbit coupling