Ground State Properties of Fermi Gases in the Strongly Interacting Regime

Abstract

The ground state energies and pairing gaps in dilute superfluid Fermi gases have now been calculated with the quantum Monte Carlo method without detailed knowledge of their wave functions. However, such knowledge is essential to predict other properties of these gases such as density matrices and pair distribution functions. We present a new and simple method to optimize the wave functions of quantum fluids using Green's function Monte Carlo method. It is used to calculate the pair distribution functions and potential energies of Fermi gases over the entire regime from atomic Bardeen-Cooper-Schrieffer superfluid to molecular Bose-Einstein condensation, spanned as the interaction strength is varied.

4 pages, 4 figures

References in corpus (8)

• Observation of resonance condensation of fermionic atom pairs
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Creation of ultracold molecules from a Fermi gas of atoms
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Superfluid Fermi Gases with Large Scattering Length
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Quantum Monte Carlo Studies of Superfluid Fermi Gases

Cited by in corpus (18)

• Theory of ultracold Fermi gases
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Universal Properties of the Ultra-Cold Fermi Gas
• Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
• Pfaffian pairing and backflow wave functions for electronic structure quantum Monte Carlo methods
• Universal properties of a trapped two-component Fermi gas at unitarity
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• Energy spectrum of harmonically trapped two-component Fermi gases: Three- and Four-Particle Problem
• Illustration of universal relations for trapped four-fermion system with arbitrary s-wave scattering length
• Ultracold atoms at unitarity within quantum Monte Carlo
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• Atomic Fermi gas at the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
• Neural Wave Functions for Superfluids
• Correlations in the low-density Fermi gas: Fermi-Liquid state, Dimerization, and BCS Pairing
• Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction
• A new effective interaction for the trapped fermi gas: the BEC-BCS crossover
• On the kinetic energy of unitary Fermi gas in a harmonic trap
• Generalized Pairing Wave Functions and Nodal Properties for Electronic Structure Quantum Monte Carlo