Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits

Autor:	Cadez, T., Jefferson, J. H., Ramsak, A.
Rok vydání:	2013
Předmět:	Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	Phys. Rev. Lett. 112, 150402, (2014)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.112.150402
Popis:	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. Comment: 5+4 pages, 1+6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1312.7254 Zobrazit plný text záznamu View this record from Arxiv