Superfluid behavior of a Bose-Einstein condensate in a random potential
M. K\"onenberg (Memorial University), T. Moser (University of Vienna),, R. Seiringer (Institute of Science, Technology Austria), J. Yngvason, (University of Vienna)
TL;DR
This paper rigorously explores the relationship between Bose-Einstein condensation and superfluidity in a one-dimensional disordered Bosonic system, revealing regimes where they coexist or diverge.
Contribution
It provides a rigorous analysis of how disorder affects superfluidity and BEC, identifying conditions for their coexistence or separation.
Findings
Superfluid fraction can be arbitrarily small with complete BEC.
Both complete BEC and superfluidity can coexist despite strong disorder.
Disorder can suppress superfluidity without destroying BEC.
Abstract
We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting Bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder.
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