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

SciPost Physics

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      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. [Phys. Rev. A 67, 043607 (2003)] from a different method.

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      Two soluble models of an antiferromagnetic chain

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        Infinite conformal symmetry in two-dimensional quantum field theory

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

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            Author and article information

            Journal
            10.21468/SciPostPhys.2.2.012

            http://creativecommons.org/licenses/by/4.0/

            Physics

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