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

by Yannis Brun, Jérôme Dubail

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Yannis Brun · Jerome Dubail
Submission information
Preprint Link:  (pdf)
Date accepted: 2017-03-18
Date submitted: 2017-03-08 01:00
Submitted by: Brun, Yannis
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approach: Theoretical


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.

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

Published as SciPost Phys. 2, 012 (2017)

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