PIRSA:13010107 Scientific Series Condensed Matter

DOI10.48660/13010107

Series: Quantum Matter

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}}
}

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.

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