Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice

Abstract

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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References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
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Cited by in corpus (10)

• Cold Bosons in Optical Lattices
• Bose-Einstein condensation in an optical lattice
• Shell-shaped atomic gases
• Critical temperature of a Bose gas in an optical lattice
• Studies of bosons in optical lattices in a harmonic potential
• Phase diagram for interacting Bose gases
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• Reentrant phase transitions involving glassy and superfluid orders in the random hopping Bose-Hubbard model
• Flow and critical velocity of an imbalanced Fermi gas through an optical potential
• Vorticity-Crystalline Order Coupling in Supersolids: Excitations and Re-entrant Phases