This paper explores the ground state energy of a system of interacting "soft core" bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics