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

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dc.creatorAizenman, M.
dc.creatorLieb, E. H.
dc.creatorSeiringer, R.
dc.creatorSolovej, J. P.
dc.creatorYngvason, J.
dc.date2004-12-01
dc.date.accessioned2026-07-07T10:04:06Z
dc.date.available2026-07-07T10:04:06Z
dc.descriptionOne 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.
dc.descriptionTo appear in the proceedings of QMath9, Giens, France, Sept. 12--16, 2004
dc.identifierhttps://arxiv.org/abs/cond-mat/0412034
dc.identifierhttp://arxiv.org/abs/cond-mat/0412034
dc.identifierin: `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)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169543
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.titleBose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
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