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Published on: November 11, 2013
Enhancement in breaking of time-reversal invariance in the quantum kicked rotor
Ramgopal Agrawal1, Akhilesh Pandey1, Sanjay Puri1
1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.
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 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
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