Lattice bosons in quartic confinement

Abstract

We present a theoretical study of bose condensation of non-interacting bosons in finite lattices in quartic potentials in one, two, and three dimensions. We investigate dimensionality effects and quartic potential effects on single boson density of energy states, condensation temperature, condensate fraction, and specific heat. The results obtained are compared with corresponding results for lattice bosons in harmonic traps.

revised version, 11 pages including figures, accepted in EPJD

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Single-atom density of states of an optical lattice
• Bragg spectroscopy of trapped one dimensional strongly interacting bosons in optical lattices: Probing the cake-structure
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Studies of bosons in optical lattices in a harmonic potential
• Influence of trapping potentials on the phase diagram of bosonic atoms in optical lattices