Eur. Phys. J. Special Topics 227, 353–363 (2018)
https://doi.org/10.1140/epjst/e2018-00094-2

Regular Article

Exact spin-orbit qubit manipulation

¹ Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia
² Jožef Stefan Institute, Ljubljana, Slovenia
³ Beijing Computational Science Research Center, Beijing 100193, P.R. China
⁴ Faculty of Education, University of Ljubljana, Ljubljana, Slovenia
⁵ Faculty of Mechanical Engineering, University of Ljubljana, Ljubljana, Slovenia

^a e-mail: anton.ramsak@fmf.uni-lj.si

Received: 16 October 2017
Received in final form: 10 January 2018
Published online: 28 September 2018

Abstract

We consider exactly solvable manipulation of spin-qubits confined in a moving harmonic trap and in the presence of the time dependent Rashba interaction. Non-adiabatic Anandan phase for cyclic time evolution is compared to the Wilczek-Zee adiabatic counterpart. It is shown that the ratio of these two phases can for a chosen system be any real number. Next we demonstrate the possibility of arbitrary qubit transformation in a ring with spin-orbit interaction. Finally, we present an example of exact analysis of spin-orbit dynamics influenced by the Ornstein-Uhlenbeck coloured noise.