Classical bifurcations and entanglement in smooth Hamiltonian system

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dc.creatorSanthanam, M. S.
dc.creatorSheorey, V. B.
dc.creatorLakshminarayan, Arul
dc.date2007-06-30
dc.date.accessioned2026-07-07T09:22:10Z
dc.date.available2026-07-07T09:22:10Z
dc.descriptionWe 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.
dc.description7 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0707.0041
dc.identifierhttp://arxiv.org/abs/0707.0041
dc.identifierPhys. Rev. E 77, 026213 (2008).
dc.identifierdoi:10.1103/PhysRevE.77.026213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155281
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleClassical bifurcations and entanglement in smooth Hamiltonian system
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