Bose-Einstein quantum phase transition in an optical lattice model
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2004. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 70(2), 023612-1-0236121-2.
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Author
Aizenman, Michael;
Lieb, Élliott H;
Seiringer, RobertISTA 
;
Solovej, Jan P;
Yngvason, Jakob
;
Solovej, Jan P;
Yngvason, JakobAbstract
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.
Publishing Year
Date Published
2004-08-01
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
70
Issue
2
Page
023612 - 1-0236121-2
IST-REx-ID
Cite this
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 2004;70(2):023612-1-0236121-2. doi:10.1103/PhysRevA.70.023612
Aizenman, M., Lieb, É., Seiringer, R., Solovej, J., & Yngvason, J. (2004). Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.70.023612
Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2004. https://doi.org/10.1103/PhysRevA.70.023612.
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein quantum phase transition in an optical lattice model,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2. American Physical Society, pp. 023612-1-0236121-2, 2004.
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2004. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 70(2), 023612-1-0236121-2.
Aizenman, Michael, et al. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2, American Physical Society, 2004, pp. 023612-1-0236121-2, doi:10.1103/PhysRevA.70.023612.
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