Blog
About

  • Record: found
  • Abstract: found
  • Article: found
Is Open Access

One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance

1 , 2 , 1 , 2

SciPost Physics

Stichting SciPost

Read this article at

ScienceOpenPublisher
Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      The one-particle density matrix of the one-dimensional Tonks-Girardeau gas with inhomogeneous density profile is calculated, thanks to a recent observation that relates this system to a two-dimensional conformal field theory in curved space. The result is asymptotically exact in the limit of large particle density and small density variation, and holds for arbitrary trapping potentials. In the particular case of a harmonic trap, we recover a formula obtained by Forrester et al. from a different method.

      Related collections

      Most cited references 62

      • Record: found
      • Abstract: not found
      • Article: not found

      Two soluble models of an antiferromagnetic chain

        Bookmark
        • Record: found
        • Abstract: not found
        • Article: not found

        Infinite conformal symmetry in two-dimensional quantum field theory

          Bookmark
          • Record: found
          • Abstract: not found
          • Article: not found

          Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

            Bookmark

            Author and article information

            Affiliations
            [1 ]French National Centre for Scientific Research
            [2 ]Université de Lorraine
            Journal
            SciPost Physics
            SciPost Phys.
            Stichting SciPost
            2542-4653
            2017
            April 04 2017
            : 2
            : 2
            10.21468/SciPostPhys.2.2.012
            © 2017

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Physics

            Comments

            Comment on this article