Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
Martin K\"onenberg, Thomas Moser, Robert Seiringer, Jakob Yngvason
TL;DR
This paper rigorously analyzes the superfluidity and Bose-Einstein condensation in a one-dimensional model of interacting bosons subjected to a random potential, providing mathematical insights into their ground state properties.
Contribution
It offers a rigorous mathematical framework for understanding superfluidity and BEC in disordered one-dimensional bosonic systems, which was previously less understood.
Findings
Demonstrates superfluidity in the ground state of the model
Establishes conditions for Bose-Einstein condensation in the presence of disorder
Provides mathematical proofs of superfluid properties in a random potential
Abstract
We present a mathematically rigorous analysis of the superfluid properties of a Bose-Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential.
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