### Abstract

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.

Original language | English (US) |
---|---|

Article number | 081902 |

Journal | Journal of Mathematical Physics |

Volume | 54 |

Issue number | 8 |

DOIs | |

State | Published - Aug 5 2013 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

## Fingerprint Dive into the research topics of 'Ground state energy of mean field model of interacting bosons in Bernoulli potential'. Together they form a unique fingerprint.

## Cite this

Bishop, M., & Wehr, J. (2013). Ground state energy of mean field model of interacting bosons in Bernoulli potential.

*Journal of Mathematical Physics*,*54*(8), [081902]. https://doi.org/10.1063/1.4818748