Published 2020
| Version v1
Journal article
Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
- Others:
- Centre de Physique Théorique - UMR 7332 (CPT) ; Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
- Institut de Physique de Nice (INPHYNI) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
Description
We compute the fluctuations of the number of bosons with a given momentum for the Tonks-Girardeau gas at zero temperature. We show that correlations between opposite momentum states, which are an important identifying characteristic of long-range order in weakly interacting Bose systems, are suppressed and that the full distribution of the number of bosons with nonzero momentum is exponential. The distribution of the quasicondensate is however quasi-Gaussian. The experimental relevance of our findings for recent cold-atom experiments is discussed.
Abstract
International audience
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-02536123
- URN
- urn:oai:HAL:hal-02536123v1
- Origin repository
- UNICA