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

### APA

Carrasquilla Álvarez, J.F. (2013). Superfluid to normal phase transition in strongly interacting bosons in two and three dimensions.. Perimeter Institute. https://pirsa.org/13010107

### MLA

Carrasquilla Álvarez, Juan Felipe. Superfluid to normal phase transition in strongly interacting bosons in two and three dimensions.. Perimeter Institute, Jan. 22, 2013, https://pirsa.org/13010107

### BibTex

@misc{ pirsa_PIRSA:13010107, doi = {10.48660/13010107}, url = {https://pirsa.org/13010107}, author = {Carrasquilla {\'A}lvarez, Juan Felipe}, keywords = {Condensed Matter}, language = {en}, title = {Superfluid to normal phase transition in strongly interacting bosons in two and three dimensions.}, publisher = {Perimeter Institute}, year = {2013}, month = {jan}, note = {PIRSA:13010107 see, \url{https://pirsa.org}} }

ETH Zurich

**Collection**

Talk Type

**Subject**

Abstract

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.