Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems

Abstract

Condensed Fermi systems with an odd number of particles can be described by means of polarizing external fields having a time-odd character. We illustrate how this works for Fermi gases and atomic nuclei treated by density functional theory or Hartree-Fock-Bogoliubov (HFB) theory. We discuss the method based on introducing two chemical potentials for different superfluid components, whereby one may change the particle-number parity of the underlying quasiparticle vacuum. Formally, this method is a variant of non-collective cranking, and the procedure is equivalent to the so-called blocking. We present and exemplify relations between the two-chemical-potential method and the cranking approximation for Fermi gases and nuclei.

11 RevTeX pages, 4 figures, submitted to Physical Review A, extended version

References in corpus (6)

• Dynamical Creation of Fractionalized Vortices and Vortex Lattices
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Mixtures of ultracold fermions with unequal masses

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