Enhancement in breaking of time-reversal invariance in the quantum kicked rotor
Abstract
We study the breaking of time-reversal invariance (TRI) by the application of a magnetic field in the quantum kicked rotor (QKR), using Izrailev's finite-dimensional model. There is a continuous crossover from TRI to time-reversal noninvariance (TRNI) in the spectral and eigenvector fluctuations of the QKR. We show that the properties of this TRI to TRNI transition depend on α2/N , where α is the chaos parameter of the QKR and N is the dimensionality of the evolution operator matrix. For α2/N ≳N , the transition coincides with that in random matrix theory. For α2/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 α2/N decreases.
- Publication:
-
Physical Review E
- Pub Date:
- December 2021
- DOI:
- 10.1103/PhysRevE.104.064202
- arXiv:
- arXiv:2111.05706
- Bibcode:
- 2021PhRvE.104f4202A
- Keywords:
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- Quantum Physics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- Phys. Rev. E 104, 064202 (2021)