Bose-Einstein quantum phase transition in an optical lattice model

Michael Aizenman, Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason

Research output: Contribution to journalArticlepeer-review

72 Scopus citations


An optical lattice model developed that is similar to the Bose-Hubbard model to describe the transition between Bose-Einstein condensation (BEC) and a Mott insulator state was analyzed. It was found that the system was a hard core lattice gas at half of the maximum density and the optical lattice was modeled by a periodic potential of strength λ. It was also observed that the interparticle interaction was essential for this transition that occurred even in the ground state. The results show that all the essential features could be proved rigorously such as the existence of BEC for small λ and its suppression for a large λ.

Original languageEnglish (US)
Article number023612
Pages (from-to)023612-1-0236121-2
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - Aug 2004

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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