English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the breaking of time-reversal invariance (TRI) by the application ofa magnetic field in the quantum kicked rotor (QKR), using Izrailev'sfinite-dimensional model. There is a continuous crossover from TRI totime-reversal non-invariance (TRNI) in the spectral and eigenvectorfluctuations of the QKR. We show that the properties of this TRI $\rightarrow$TRNI transition depend on $\alpha^2/N$, where $\alpha$ is the chaos parameterof the QKR and $N$ is the dimensionality of the evolution operator matrix. For$\alpha^2/N \gtrsim N$, the transition coincides with that in random matrixtheory. For $\alpha^2/N < N$, the transition shows a marked deviation fromrandom matrix theory. Further, the speed of this transition as a function ofthe magnetic field is significantly enhanced as $\alpha^2/N$ decreases.

Enhancement in Breaking of Time-reversal Invariance in the Quantum Kicked Rotor