Perturbations and chaos in quantum maps release_rstbx7ahsjcfznms2cre7xnfke

by Darío E. Bullo, Diego A. Wisniacki

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abstracts [{'sha1': '74b0285c18615abc29e0e80c1f5b9c4b25499858', 'content': 'The local density of states (LDOS) is a distribution that characterizes the\neffect of perturbations on quantum systems. Recently, it was proposed a\nsemiclassical theory for the LDOS of chaotic billiards and maps. This theory\npredicts that the LDOS is a Breit-Wigner distribution independent of the\nperturbation strength and also gives a semiclassical expression for the LDOS\nwitdth. Here, we test the validity of such an approximation in quantum maps\nvarying the degree of chaoticity, the region in phase space where the\nperturbation is applying and the intensity of the perturbation. We show that\nfor highly chaotic maps or strong perturbations the semiclassical theory of the\nLDOS is accurate to describe the quantum distribution. Moreover, the width of\nthe LDOS is also well represented for its semiclassical expression in the case\nof mixed classical dynamics.', 'mimetype': 'text/plain', 'lang': 'en'}]
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ext_ids {'doi': None, 'wikidata_qid': None, 'isbn13': None, 'pmid': None, 'pmcid': None, 'core': None, 'arxiv': '1207.5984v1', 'jstor': None, 'ark': None, 'mag': None, 'doaj': None, 'dblp': None, 'oai': None, 'hdl': None}
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language en
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release_date 2012-07-25
release_stage submitted
release_type article
release_year 2012
revision 070bd4a8-3098-4de2-98b4-b4f135d4394f
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title Perturbations and chaos in quantum maps
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arxiv.base_id 1207.5984
arxiv.categories ['nlin.CD']
arxiv.comments 9 pages, 11 figures. Accepted for publication in Phys. Rev. E