Ground state energy of mean field model of interacting bosons in Bernoulli potential

M. Bishop, Jan Wehr

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Article number081902
JournalJournal of Mathematical Physics
Volume54
Issue number8
DOIs
StatePublished - Aug 5 2013

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Mean-field Model
Ground State Energy
Bernoulli
Bosons
bosons
Random Potential
ground state
Mean-field Approximation
Gross
Ground State
energy
Interaction
approximation
interactions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Ground state energy of mean field model of interacting bosons in Bernoulli potential. / Bishop, M.; Wehr, Jan.

In: Journal of Mathematical Physics, Vol. 54, No. 8, 081902, 05.08.2013.

Research output: Contribution to journalArticle

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