Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

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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 \cite{ALSSY} 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.
To appear in the proceedings of QMath9, Giens, France, Sept. 12--16, 2004

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Statistical Mechanics, Other Condensed Matter, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/169543

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0412034
 http://arxiv.org/abs/cond-mat/0412034
 in: `Mathematical Physics of Quantum Mechanics, Selected and Refereed Lectures from QMath9', A. Joyce and and J. Ash (eds), Springer Lecture Notes in Physics, vol. 690 (2006)

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