Classical bifurcations and entanglement in smooth Hamiltonian system

Details Classical bifurcations and entanglement in smooth Hamiltonian system Classical bifurcations and entanglement in smooth Hamiltonian system

2007-06-30

arxiv.org/abs/0707.0041v1

Phys. Rev. E 77, 026213 (2008).

Nonlinear Sciences

Chaotic Dynamics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.77.026213

We study entanglement in two coupled quartic oscillators. It is shown that the entanglement, as measured by the von Neumann entropy, increases with the classical chaos parameter for generic chaotic eigenstates. We consider certain isolated periodic orbits whose bifurcation sequence affects a class of quantum eigenstates, called the channel localized states. For these states, the entanglement is a local minima in the vicinity of a pitchfork bifurcation but is a local maxima near a anti-pitchfork bifurcation. We place these results in the context of the close connections that may exist between entanglement measures and conventional measures of localization that have been much studied in quantum chaos and elsewhere. We also point to an interesting near-degeneracy that arises in the spectrum of reduced density matrices of certain states as an interplay of localization and symmetry.

Affiliated with

Also associated with

No associations

Rating

Classical bifurcations and entanglement in smooth Hamiltonian system 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 Classical bifurcations and entanglement in smooth Hamiltonian system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical bifurcations and entanglement in smooth Hamiltonian system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143891