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

Autor(en)

M Aizenman, E H Lieb, Robert Seiringer, J P Solovej, Jakob Yngvason

Abstrakt

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 ?. For small ? and temperature Bose- Einstein condensation (BEC) is proved to occur, while at large ? 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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Princeton University, Technical University of Denmark (DTU)

Journal

Lecture Notes in Physics

Band

690

Seiten

199-215

Anzahl der Seiten

17

ISSN

1616-6361

DOI

https://doi.org/10.1007/3-540-34273-7_16

Publikationsdatum

2006

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f05f486c-a24b-49cb-b2c5-06624e0a4402