Exact nonadiabatic holonomic transformations of spin-orbit qubits.
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.
Jožef Stefan Institute, 1000 Ljubljana, Slovenia and Institute of Mathematics, Physics and Mechanics, 1000 Ljubljana, Slovenia.
T
T
Čadež
Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom.
J H
JH
Jefferson
Jožef Stefan Institute, 1000 Ljubljana, Slovenia and Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia.
A
A
Ramšak