## SciPost Submission Page

# 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)

### Submission summary

As Contributors: | Yannis Brun · Jerome Dubail |

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 |

Discipline: | Physics |

Subject area: | Condensed Matter Physics - Theory |

Approach: | Theoretical |

### 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:

### Ontology / Topics

See full Ontology or Topics database.### Author comments upon resubmission

### 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