Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice

Details Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice

2003-07-17

arxiv.org/abs/cond-mat/0307412v3

Phys. Rev. Lett. 93, 160402 (2004)

Physics

Condensed Matter

Statistical Mechanics

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html

Scientific paper

10.1103/PhysRevLett.93.160402

We calculate the location of the quantum phase transitions of a bose gas trapped in an optical lattice as a function of effective scattering length $a_{\eff}$ and temperature $T$. Knowledge of recent high-loop results on the shift of the critical temperature at weak couplings is used to locate a {\em nose} in the phase diagram above the free Bose-Einstein critical temperature $T_c^{(0)}$, thus predicting the existence of a reentrant transition {\em above} $T_c^{(0)}$, where a condensate should form when {\em increasing} $a_{\eff}$. At zero temperature, the transition to the normal phase produces the experimentally observed Mott insulator.

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