Enhancement in breaking of timereversal invariance in the quantum kicked rotor
Abstract
We study the breaking of timereversal invariance (TRI) by the application of a magnetic field in the quantum kicked rotor (QKR), using Izrailev's finitedimensional model. There is a continuous crossover from TRI to timereversal noninvariance (TRNI) in the spectral and eigenvector fluctuations of the QKR. We show that the properties of this TRI to TRNI transition depend on α^{2}/N , where α is the chaos parameter of the QKR and N is the dimensionality of the evolution operator matrix. For α^{2}/N ≳N , the transition coincides with that in random matrix theory. For α^{2}/N <N , the transition shows a marked deviation from random matrix theory. Further, the speed of this transition as a function of the magnetic field is significantly enhanced as α^{2}/N decreases.
 Publication:

Physical Review E
 Pub Date:
 December 2021
 DOI:
 10.1103/PhysRevE.104.064202
 arXiv:
 arXiv:2111.05706
 Bibcode:
 2021PhRvE.104f4202A
 Keywords:

 Quantum Physics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 Phys. Rev. E 104, 064202 (2021)