Influence of trapping potentials on the phase diagram of bosonic atoms in optical lattices

Abstract

We study the effect of external trapping potentials on the phase diagram of bosonic atoms in optical lattices. We introduce a generalized Bose-Hubbard Hamiltonian that includes the structure of the energy levels of the trapping potential, and show that these levels are in general populated both at finite and zero temperature. We characterize the properties of the superfluid transition for this situation and compare them with those of the standard Bose-Hubbard description. We briefly discuss similar behaviors for fermionic systems.

arXiv comment4 pages, 3 figures; final version, to be published in Phys. Rev. A

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Quantum phases in an optical lattice

Cited by in corpus (5)

• Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• Studies of bosons in optical lattices in a harmonic potential
• Hubbard-like Hamiltonian for ultracold atoms in a 1D optical lattice
• Lattice bosons in quartic confinement