Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335333" target="_blank" >RIV/00216208:11320/16:10335333 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physleta.2016.06.031" target="_blank" >http://dx.doi.org/10.1016/j.physleta.2016.06.031</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2016.06.031" target="_blank" >10.1016/j.physleta.2016.06.031</a>
Alternative languages
Result language
angličtina
Original language name
Classification of excited-state quantum phase transitions for arbitrary number of degrees of freedom
Original language description
Classical stationary points of an analytic Hamiltonian induce singularities of the density of quantum energy levels and their flow with a control parameter in the system's infinite-size limit. We show that for a system with f degrees of freedom, a non-degenerate stationary point with index r causes a discontinuity (for r even) or divergence (r odd) of the (f-1)th derivative of both density and flow of the spectrum. An increase of flatness for a degenerate stationary point shifts the singularity to lower derivatives. The findings are verified in an f = 3 toy model.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - 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
<a href="/en/project/GA13-07117S" target="_blank" >GA13-07117S: Statistical approaches to quantum many-body systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physics Letters, Section A: General, Atomic and Solid State Physics
ISSN
0375-9601
e-ISSN
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Volume of the periodical
380
Issue of the periodical within the volume
34
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
2637-2643
UT code for WoS article
000380078200009
EID of the result in the Scopus database
2-s2.0-84976579106