The Unitary Fermi Gas: From Monte Carlo to Density Functionals
By Aurel Bulgac, M. Forbes, Piotr Magierski. 2010
241 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/82ae8d3cbad9f1cfe573728dcb20ed0371fb5fbe
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, methodology): “In particular, we can refer to reviews on the application to strongly-interacting Fermi gases (in particular, at unitarity) of Quantum Monte Carlo methods [38, 39], functional-renormalization-group techniques [40], epsilon [41] and virial [42] expansions.”