Improved unfolding by detrending of statistical fluctuations in quantum spectra

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Improved unfolding by detrending of statistical fluctuations in quantum spectra

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Improved unfolding by detrending of statistical fluctuations in quantum spectra

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA202%2F09%2F0084" target="_blank" >GA202/09/0084: Kolektivní jevy v interagujících mnohočásticových systémech</a><br>

Návaznosti

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

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

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

ISSN

1539-3755

e-ISSN

—

Svazek periodika

84

Číslo periodika v rámci svazku

—

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

7

Strana od-do

016203, 1-7

Kód UT WoS článku

000293397600003

EID výsledku v databázi Scopus

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