Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures

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dc.creatorCherny, Alexander Yu.
dc.creatorBrand, Joachim
dc.date2005-07-04
dc.date2006-02-20
dc.date.accessioned2026-07-07T06:41:16Z
dc.date.available2026-07-07T06:41:16Z
dc.descriptionCorrelation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential Hamiltonian. The Hartree-Fock and generalized random phase approximations are derived and the dynamic polarizability is calculated. The results are valid to first order in 1/γwhere γis Lieb-Liniger coupling parameter. Approximations for the dynamic and static structure factor at finite temperature are presented. The results preclude superfluidity at any finite temperature in the large-γregime due to the Landau criterion. Due to the exact Bose-Fermi duality, the results apply for spinless fermions with weak p-wave interactions as well as for strongly interacting bosons.
dc.description13 pages, 5 figures, the journal version
dc.identifierhttps://arxiv.org/abs/cond-mat/0507086
dc.identifierhttp://arxiv.org/abs/cond-mat/0507086
dc.identifierPhys. Rev. A 73, 023612 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.023612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101610
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titlePolarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
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