Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-03-12
Phys. Rev. A 73, 063606 (2006)
Physics
Condensed Matter
Other Condensed Matter
8 pages, 8 figures, 2 tables
Scientific paper
10.1103/PhysRevA.73.063606
We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining potentials. The quantum criticality of the superfluid-Mott insulator transition is investigated both on the boundary layer separating the two coexisting phases and at the center of the traps where the Mott-insulating phase is first established. Recent simulations of systems in quadratic traps have shown that the transition is not in the critical regime due to the finite gradient of the confining potential and that critical fluctuations are suppressed. In addition, it has been shown that quantum critical behavior is recovered in flat confining potentials as they approach the uniform regime. Our results show that quartic traps display a behavior similar to quadratic ones, yet locally at the center of the traps the bulk transition has enhanced critical fluctuations in comparison to the quadratic case. Therefore quartic traps provide a better prerequisite for the experimental observation of true quantum criticality of ultracold bosonic atoms in optical lattices.
Batrouni Ghassan George
Gygi Olivier
Katzgraber Helmut G.
Troyer Matthias
Wessel Stefan
No associations
LandOfFree
Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-340043