Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas

We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Mo...

Full description

Saved in:
Bibliographic Details
Published in:New journal of physics 2016-02, Vol.18 (3), p.35002
Main Authors: Seiringer, Robert, Warzel, Simone
Format: Article
Language:English
Subjects:
Decay
decay of correlations
Eigenvectors
many-body localization
Physics
Superfluidity
Tonks-Girardeau gas
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the Tonks-Girardeau gas subject to a random external potential. If the disorder is such that the underlying one-particle Hamiltonian displays localization (which is known to be generically the case), we show that there is exponential decay of correlations in the many-body eigenstates. Moreover, there is no Bose-Einstein condensation and no superfluidity, even at zero temperature.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/18/3/035002