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PIRSA:13010107

Video URL

https://pirsa.org/13010107

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

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

Juan Carrasquilla ETH Zurich

Talk numberPIRSA:13010107
DOI10.48660/13010107
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
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.