Entanglement production in coupled chaotic systems : Case of the Kicked Tops
Abstract
Entanglement production in coupled chaotic systems is studied with the help of kicked tops. Deriving the correct classical map, we have used the reduced Husimi function, the Husimi function of the reduced density matrix, to visualize the possible behaviors of a wavepacket. We have studied a phase space based measure of the complexity of a state and used random matrix theory (RMT) to model the strongly chaotic cases. Extensive numerical studies have been done for the entanglement production in coupled kicked tops corresponding to different underlying classical dynamics and different coupling strengths. An approximate formula, based on RMT, is derived for the entanglement production in coupled strongly chaotic systems. This formula, applicable for arbitrary coupling strengths and also valid for long time, complements and extends significantly recent perturbation theories for strongly chaotic weakly coupled systems.
Keywords
Cite
@article{arxiv.quant-ph/0307134,
title = {Entanglement production in coupled chaotic systems : Case of the Kicked Tops},
author = {Jayendra N. Bandyopadhyay and Arul Lakshminarayan},
journal= {arXiv preprint arXiv:quant-ph/0307134},
year = {2007}
}
Comments
27 pages, 15 figures, revtex4 ; Modified title, minor corrections and few references added ; Version as to appear in Phys. Rev. E