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.

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

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Cited by in corpus (22)

• Cold Bosons in Optical Lattices
• Bose-Einstein Condensation on the Surface of a Sphere
• Interacting bosons in an optical lattice
• Bose-Einstein condensation in an optical lattice
• Entropy-driven enhanced self-diffusion in confined reentrant supernematics
• Shell-shaped atomic gases
• The vortex state in the BEC to BCS crossover: a path-integral description
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• A Finite Temperature Treatment of Ultracold Atoms in a 1-D Optical Lattice
• Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
• Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate
• Critical temperature of a Bose gas in an optical lattice
• The role of string-like, supramolecular assemblies in reentrant supernematic liquid crystals
• Studies of bosons in optical lattices in a harmonic potential
• Phase diagram for interacting Bose gases
• A renormalized Gross-Pitaevskii Theory and vortices in a strongly interacting Bose gas
• Phase transition to Bose-Einstein condensation for a Bosonic gas confined in a combined trap
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• Reentrance of Bose-Einstein condensation in spinor atomic gases in magnetic field
• 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