Skip to main content
Article
The Imbalanced Fermi Gas at Unitarity
Proceedings of Science (2010)
  • Olga Goulko, University of Cambridge
  • Matthew Wingate, University of Cambridge
Abstract
Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length. With Monte Carlo methods this system can be studied from first principles. In the presence of an imbalance (unequal number of particles in the two components) a sign problem arises, which makes conventional algorithms inapplicable. We will show how to apply reweighting techniques to generalise the recently developed worm algorithm to the imbalanced case, and present results for the critical temperature, the energy per particle, the chemical potential and the contact density for equal, as well as unequal number of fermions in the two spin components.
Keywords
  • unitary Fermi gas,
  • diagrammatic Monte Carlo,
  • lattice field theory,
  • strongly interacting fermions
Disciplines
Publication Date
2010
Publisher Statement
PoS(Lattice 2010)187
Citation Information
Olga Goulko and Matthew Wingate. "The Imbalanced Fermi Gas at Unitarity" Proceedings of Science (2010)
Available at: http://works.bepress.com/olga-goulko/16/