Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.78.046212
DC FieldValue
dc.titleComplexity of quantum states and reversibility of quantum motion
dc.contributor.authorSokolov, V.V.
dc.contributor.authorZhirov, O.V.
dc.contributor.authorBenenti, G.
dc.contributor.authorCasati, G.
dc.date.accessioned2014-10-16T09:18:50Z
dc.date.available2014-10-16T09:18:50Z
dc.date.issued2008-10-21
dc.identifier.citationSokolov, V.V., Zhirov, O.V., Benenti, G., Casati, G. (2008-10-21). Complexity of quantum states and reversibility of quantum motion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 78 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.78.046212
dc.identifier.issn15393755
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96044
dc.description.abstractWe present a quantitative analysis of the reversibility properties of classically chaotic quantum motion. We analyze the connection between reversibility and the rate at which a quantum state acquires a more and more complicated structure in its time evolution. This complexity is characterized by the number M (t) of harmonics of the [initially isotropic, i.e., M (0) =0] Wigner function, which are generated during quantum evolution for the time t. We show that, in contrast to the classical exponential increase, this number can grow not faster than linearly and then relate this fact with the degree of reversibility of the quantum motion. To explore the reversibility we reverse the quantum evolution at some moment T immediately after applying at this moment an instant perturbation governed by a strength parameter ξ. It follows that there exists a critical perturbation strength ξc ≈ 2/M (T) below which the initial state is well recovered, whereas reversibility disappears when ξ ξc (T). In the classical limit the number of harmonics proliferates exponentially with time and the motion becomes practically irreversible. The above results are illustrated in the example of the kicked quartic oscillator model. © 2008 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.78.046212
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevE.78.046212
dc.description.sourcetitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.description.volume78
dc.description.issue4
dc.description.page-
dc.description.codenPLEEE
dc.identifier.isiut000260573900037
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