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Bose-Einstein quantum phase transition in an optical lattice model

Autor(en)
M Aizenman, E H Lieb, Robert Seiringer, J P Solovej, Jakob Yngvason
Abstrakt

An optical lattice model developed that is similar to the Bose-Hubbard model to describe the transition between Bose-Einstein condensation (BEC) and a Mott insulator state was analyzed. It was found that the system was a hard core lattice gas at half of the maximum density and the optical lattice was modeled by a periodic potential of strength λ. It was also observed that the interparticle interaction was essential for this transition that occurred even in the ground state. The results show that all the essential features could be proved rigorously such as the existence of BEC for small λ and its suppression for a large λ.

Organisation(en)
Mathematische Physik
Externe Organisation(en)
Princeton University, Technical University of Denmark (DTU)
Journal
Physical Review A
Band
70
Anzahl der Seiten
12
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.70.023612
Publikationsdatum
2004
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/86b61762-3c2b-4919-a8bc-05d66efbd9fe