Excited-state quantum phase transitions in systems with two degrees of freedom: Level density, level dynamics, thermal properties
Result description
Quantum systems with a finite number of freedom degrees f develop robust singularities in the energy spectrum of excited states as the system's size increases to infinity. We analyze the general form of these singularities for low f, particularly f = 2,clarifying the relation to classical stationary points of the corresponding potential. Signatures in the smoothed energy dependence of the quantum state density and in the flow of energy levels with an arbitrary control parameter are described along withthe relevant thermodynamical consequences. The general analysis is illustrated with specific examples of excited-state singularities accompanying the first-order quantum phase transition. (C) 2014 Published by Elsevier Inc.
Keywords
Thermal anomaliesLevel dynamicsLevel densityQuantum phase transitions
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Excited-state quantum phase transitions in systems with two degrees of freedom: Level density, level dynamics, thermal properties
Original language description
Quantum systems with a finite number of freedom degrees f develop robust singularities in the energy spectrum of excited states as the system's size increases to infinity. We analyze the general form of these singularities for low f, particularly f = 2,clarifying the relation to classical stationary points of the corresponding potential. Signatures in the smoothed energy dependence of the quantum state density and in the flow of energy levels with an arbitrary control parameter are described along withthe relevant thermodynamical consequences. The general analysis is illustrated with specific examples of excited-state singularities accompanying the first-order quantum phase transition. (C) 2014 Published by Elsevier Inc.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BG - Nuclear, atomic and molecular physics, accelerators
OECD FORD branch
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Result continuities
Project
GA13-07117S: Statistical approaches to quantum many-body systems
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
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Volume of the periodical
345
Issue of the periodical within the volume
neuveden
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
73-97
UT code for WoS article
000335546400005
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BG - Nuclear, atomic and molecular physics, accelerators
Year of implementation
2014