Relation between irreversibility and entanglement in classically chaotic quantum kicked rotors

Abstract

The relation between the degree of entanglement and time scale of time-irreversible behavior is investigated for classically chaotic quantum coupled kicked rotors by comparing the entanglement entropy (EE) and the lifetime of correspondence with classical decay of correlation, which was recently introduced. Both increase {\it on average} drastically with a strong correlation when the strength of coupling between the kicked rotors exceeds a certain threshold. The EE shows an anomalously large fluctuation resembling a critical fluctuation around the threshold value of coupling strength where the entanglement sharply increases toward full entanglement. In this regime it can be shown that, although the correlation is hidden, EE and the lifetime of {\it individual eigenfunctions} also have a positive correlation that can be seen via an another measure.

5 pages, 3 figures

References in corpus (6)

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Cited by in corpus (6)

• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Slow heating in a quantum coupled kicked rotors system
• Floquet states of kicked particle in a singular potential: Exponential and power-law profiles
• Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices
• Dynamics of wavepackets and entanglement in many-body kicked rotors under quantum resonance
• Interscale entanglement production in a quantum system simulating classical chaos