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dc.contributor.authorRosi, Giulia de
dc.contributor.authorAstrakharchik, Grigori
dc.contributor.authorStringari, Sandro
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física
dc.date.accessioned2017-09-27T15:39:23Z
dc.date.available2017-09-27T15:39:23Z
dc.date.issued2017-07-11
dc.identifier.citationde Rosi, G., Astrakharchik, G., Stringari, S. Thermodynamic behavior of a one-dimensional Bose gas at low temperature. "Physical Review A", 11 Juliol 2017, vol. 96, núm. 1, p. 1-13.
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/2117/108073
dc.description.abstractWe show that the chemical potential of a one-dimensional (1D) interacting Bose gas exhibits a nonmonotonic temperature dependence which is peculiar of superfluids. The effect is a direct consequence of the phononic nature of the excitation spectrum at large wavelengths exhibited by 1D Bose gases. For low temperatures T, we demonstrate that the coefficient in T^2 expansion of the chemical potential is entirely defined by the zero-temperature density dependence of the sound velocity. We calculate that coefficient along the crossover between the Bogoliubov weakly interacting gas and the Tonks-Girardeau gas of impenetrable bosons. Analytic expansions are provided in the asymptotic regimes. The theoretical predictions along the crossover are confirmed by comparison with the exactly solvable Yang-Yang model in which the finite-temperature equation of state is obtained numerically by solving Bethe-ansatz equations. A 1D ring geometry is equivalent to imposing periodic boundary conditions and arising finite-size effects are studied in detail. At T=0 we calculated various thermodynamic functions, including the inelastic structure factor, as a function of the number of atoms, pointing out the occurrence of important deviations from the thermodynamic limit.
dc.format.extent13 p.
dc.language.isoeng
dc.publisherAMER PHYSICAL SOC
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshThermodynamics
dc.subject.lcshBose-Einstein gas
dc.subject.otherThermodynamic Bose gas
dc.titleThermodynamic behavior of a one-dimensional Bose gas at low temperature
dc.typeArticle
dc.subject.lemacTermodinàmica
dc.subject.lemacCondensació de Bose-Einstein
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity
dc.identifier.doi10.1103/PhysRevA.96.013613
dc.relation.publisherversionhttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.013613
dc.rights.accessOpen Access
local.identifier.drac21207357
dc.description.versionPostprint (author's final draft)
local.citation.authorde Rosi, G.; Astrakharchik, G.; Stringari, Sandro
local.citation.publicationNamePhysical Review A
local.citation.volume96
local.citation.number1
local.citation.startingPage1
local.citation.endingPage13


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