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The Unitary Fermi Gas: From Monte Carlo to Density Functionals

  • Aurel BulgacEmail author
  • Michael McNeil Forbes
  • Piotr Magierski
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 836)

Abstract

In this chapter, we describe three related studies of the universal physics of two-component unitary Fermi gases with resonant short-ranged interactions. First we discuss an ab initio auxiliary field quantum Monte Carlo technique for calculating thermodynamic properties of the unitary gas from first principles. We then describe in detail a Density Functional Theory (DFT) fit to these thermodynamic properties: the Superfluid Local Density Approximation (SLDA) and its Asymmetric (ASLDA) generalization. We present several applications, including vortex structure, trapped systems, and a supersolid Larkin–Ovchinnikov (FFLO/LOFF) state. Finally, we discuss the time-dependent extension to the density functional (TDDFT) which can describe quantum dynamics in these systems, including non-adiabatic evolution, superfluid to normal transitions and other modes not accessible in traditional frameworks such as a Landau–Ginzburg, Gross–Pitaevskii, or quantum hydrodynamics.

Keywords

Density Functional Theory Singular Value Decomposition Feshbach Resonance Kinetic Energy Density Quantum Monte Carlo 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Aurel Bulgac
    • 1
    Email author
  • Michael McNeil Forbes
    • 2
    • 3
  • Piotr Magierski
    • 4
  1. 1.Department of PhysicsUniversity of WashingtonSeattleUSA
  2. 2.Institute for Nuclear Theory and Department of PhysicsUniversity of WashingtonSeattleUSA
  3. 3.T-2, Los Alamos National LaboratoryLos AlamosUSA
  4. 4.Faculty of PhysicsWarsaw University of TechnologyWarsawPoland

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