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Improved unfolding by detrending of statistical fluctuations in quantum spectra

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10105593" target="_blank" >RIV/00216208:11320/11:10105593 - isvavai.cz</a>

  • Result on the web

    <a href="http://pre.aps.org/pdf/PRE/v84/i1/e016203" target="_blank" >http://pre.aps.org/pdf/PRE/v84/i1/e016203</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevE.84.016203" target="_blank" >10.1103/PhysRevE.84.016203</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Improved unfolding by detrending of statistical fluctuations in quantum spectra

  • Original language description

    A fundamental relation exists between the statistical properties of the fluctuations of the energy-level spectrum of a Hamiltonian and the chaotic properties of the physical system it describes. This relationship has been addressed previously as a signature of chaos in quantum dynamical systems. In order to properly analyze these fluctuations, however, it is necessary to separate them from the general tendency, namely, its secular part. Unfortunately this process, called unfolding, is not trivial and can lead to erroneous conclusions about the chaoticity of a system. In this paper we propose a technique to improve the unfolding procedure for the purpose of minimizing the dependence on the particular procedure. This technique is based on detrending thefluctuations of the unfolded spectra through the empirical mode decomposition method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA202%2F09%2F0084" target="_blank" >GA202/09/0084: Collective phenomena in interacting many-body systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

  • ISSN

    1539-3755

  • e-ISSN

  • Volume of the periodical

    84

  • Issue of the periodical within the volume

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    016203, 1-7

  • UT code for WoS article

    000293397600003

  • EID of the result in the Scopus database