期刊
PHYSICAL REVIEW E
卷 104, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.104.064202
关键词
-
资金
- Science and Engineering Research Board, India via a J.C. Bose fellowship
In this study, the breaking of time-reversal invariance in the quantum kicked rotor by the application of a magnetic field was investigated using a finite-dimensional model. The transition from time-reversal invariance to noninvariance in the spectral and eigenvector fluctuations of the quantum kicked rotor was found to be dependent on the ratio of alpha 2/N, where alpha represents the chaos parameter and N is the dimensionality of the evolution operator matrix. The speed of this transition significantly increases as alpha 2/N decreases, showing deviations from random matrix theory in certain cases.
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 alpha 2/N, where alpha is the chaos parameter of the QKR and N is the dimensionality of the evolution operator matrix. For alpha 2/N N, the transition coincides with that in random matrix theory. For alpha 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 alpha 2/N decreases.
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