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

by Yannis Brun, Jérôme Dubail

- Published as SciPost Phys. 2, 012 (2017)

  • Other versions of this Submission (with Reports) exist:

Submission summary

As Contributors: Jerome Dubail · Yannis Brun
Arxiv Link: http://arxiv.org/abs/1701.02248v2
Date accepted: 2017-03-18
Date submitted: 2017-03-08
Submitted by: Brun, Yannis
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Condensed Matter Physics - Theory

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.

Current status:



Author comments upon resubmission

We thank the editor for taking in charge the submission and refereeing of our manuscript. We here resubmit a new version of the manuscript with the following changes:

List of changes

- we added references and acknowledgements
- we corrected mistakes in the legend for the plots of Table 2.
- as was asked in the Anonymous Report 74 (on 2017-01-31): we reformulared the fifth paragraph of the introduction so that the domain of validity of the result is more apparent.
- we fixed some typos

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