@inbook{2369,
abstract = {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.},
author = {Aizenman, Michael and Lieb, Élliott H and Robert Seiringer and Solovej, Jan P and Yngvason, Jakob},
booktitle = {Mathematical Physics of Quantum Mechanics},
editor = {Asch, Joachim and Joye, Alain},
pages = {199 -- 215},
publisher = {Springer},
title = {{Bose-Einstein condensation as a quantum phase transition in an optical lattice}},
doi = {10.1007/b11573432},
volume = {690},
year = {2006},
}