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Quantum Foundations

Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits

arXiv

Authors: T. Cadez, J. H. Jefferson, A. Ramsak

Year

2013

Paper ID

2278

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

An exact analytical solution is derived for the wavefunction 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 the time-dependent spin-orbit coupling. By appropriate choice of parameters, we show that arbitrary spin rotations may be performed on the Bloch sphere. Exact expressions for dynamical and geometrical phases are also derived.

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An exact analytical solution is derived for the wavefunction of an electron in a one-dimensional moving quantum dot in a nanowire, in the presence of time-dependent spin-orbit...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.7254 [2] arXiv https://arxiv.org/abs/1312.7254 [3] Publisher https://arxiv.org/abs/1312.7254

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