PIRSA:13010107

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

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

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 

          @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}}
          }

Juan Carrasquilla Vector Institute for Artificial Intelligence

DOI 10.48660/13010107
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.