Quantum ergodicity and entanglement in kicked coupled-tops

Details Quantum ergodicity and entanglement in kicked coupled-tops Quantum ergodicity and entanglement in kicked coupled-tops

2008-04-07

arxiv.org/abs/0804.1136v1

Physics

Quantum Physics

12 pages with 8 figures

Scientific paper

We study the dynamical generation of entanglement as a signature of chaos in a system of periodically kicked coupled-tops, where chaos and entanglement arise from the same physical mechanism. The long-time averaged entanglement as a function of the position of an initially localized wave packet very closely correlates with the classical phase space surface of section -- it is nearly uniform in the chaotic sea, and reproduces the detailed structure of the regular islands. The uniform value in the chaotic sea is explained by the random state conjecture. As classically chaotic dynamics take localized distributions in phase space to random distributions, quantized versions take localized coherent states to pseudo-random states in Hilbert space. Such random states are highly entangled, with an average value near that of the maximally entangled state. For a map with global chaos, we derive that value based on new analytic results for the typical entanglement in a subspace defined by the symmetries of the system. For a mixed phase space, we use the Percival conjecture to identify a "chaotic subspace" of the Hilbert space. The typical entanglement, averaged over the unitarily invariant Haar measure in this subspace, agrees with the long-time averaged entanglement for initial states in the chaotic sea. In all cases the dynamically generated entanglement is predicted by a unitary ensemble of random states, even though the system is time-reversal invariant, and the Floquet operator is a member of the circular orthogonal ensemble.

Affiliated with

Also associated with

No associations

Rating

Quantum ergodicity and entanglement in kicked coupled-tops does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum ergodicity and entanglement in kicked coupled-tops, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum ergodicity and entanglement in kicked coupled-tops will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539660