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

Yannis Brun, Jérôme Dubail

SciPost Phys. 2, 012 (2017) · published 4 April 2017

- doi: 10.21468/SciPostPhys.2.2.012
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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.

### Cited by 32

### Ontology / Topics

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Conformal field theory (CFT) in curved spaces
One-particle density matrix
Spatially inhomogeneous systems
Tonks-Girardeau gas

### Authors / Affiliations: mappings to Contributors and Organizations

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^{1}^{2}Yannis Brun, -
^{1}^{2}Jerome Dubail