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- Superfluid to normal phase transition in strongly interacting bosons in two and three dimensions.

Using quantum Monte Carlo simulations, we investigate the

finite-temperature phase diagram of hard-core bosons (XY model) in

two- and three-dimensional square lattices. To determine

the phase boundaries, we perform a finite-size scaling analysis of the

condensate fraction and/or the superfluid stiffness. We then discuss how this

diagrams can be measured in experiments with trapped ultracold gases, where the

systems are inhomogeneous. For that, we introduce a method based on the

measurement of the zero-momentum occupation, which is adequate for experiments dealing

with both homogeneous and trapped systems. Finally, we provide an analytical

argument that demonstrates that the Bose-Hubbard model does not exhibit

ﬁnite-temperature BEC in two dimensions, provided that density remains finite

across the entire system in the thermodynamic limit.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, January 22, 2013 - 15:30 to 17:00

Location:

Bob Room

©2012 Perimeter Institute for Theoretical Physics