Bose-Einstein condensation as a quantum phase transition in an optical lattice

M. Aizenman, E. H. Lieb, R. Seiringer, J. P. Solovej, J. Yngvason

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations


One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical trapping potential is varied. In [1] a model of this phenomenon has been analyzed rigorously. The gas is a hard core lattice gas and the optical lattice is modeled by a periodic potential of strength λ. For small λ and temperature Bose- Einstein condensation (BEC) is proved to occur, while at large λ BEC disappears, even in the ground state, which is a Mott-insulator state with a characteristic gap. The inter-particle interaction is essential for this effect. This contribution gives a pedagogical survey of these results.

Original languageEnglish (US)
Title of host publicationMathematical Physics of Quantum Mechanics
Subtitle of host publicationSelected and Refereed Lectures from QMath9
EditorsJoachim Asch, Alain Joye
Number of pages17
StatePublished - 2006

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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