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Thermodynamic behavior of a one-dimensional Bose gas at low temperature
dc.contributor.author | Rosi, Giulia de |
dc.contributor.author | Astrakharchik, Grigori |
dc.contributor.author | Stringari, Sandro |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2017-09-27T15:39:23Z |
dc.date.available | 2017-09-27T15:39:23Z |
dc.date.issued | 2017-07-11 |
dc.identifier.citation | de 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.issn | 2469-9926 |
dc.identifier.uri | http://hdl.handle.net/2117/108073 |
dc.description.abstract | We 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.extent | 13 p. |
dc.language.iso | eng |
dc.publisher | AMER PHYSICAL SOC |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Thermodynamics |
dc.subject.lcsh | Bose-Einstein gas |
dc.subject.other | Thermodynamic Bose gas |
dc.title | Thermodynamic behavior of a one-dimensional Bose gas at low temperature |
dc.type | Article |
dc.subject.lemac | Termodinàmica |
dc.subject.lemac | Condensació de Bose-Einstein |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1103/PhysRevA.96.013613 |
dc.relation.publisherversion | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.013613 |
dc.rights.access | Open Access |
local.identifier.drac | 21207357 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | de Rosi, G.; Astrakharchik, G.; Stringari, Sandro |
local.citation.publicationName | Physical Review A |
local.citation.volume | 96 |
local.citation.number | 1 |
local.citation.startingPage | 1 |
local.citation.endingPage | 13 |
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