Coupled pair approach for strongly-interacting trapped fermionic atoms

Abstract

We present a coupled pair approach for studying few-body physics in harmonically trapped ultracold gases. The method is applied to a two-component Fermi system of $N$ particles. A stochastically variational gaussian expansion method is applied, focusing on optimization of the two-body correlations present in the strongly interacting, or unitary, limit. The groundstate energy of the four-, six- and eight-body problem with equal spin populations is calculated with high accuracy and minimal computational effort. We also calculate the structural properties of these systems and discuss their implication for the many-body ultracold gas and other few-body calculations.

7 pages, 4 figures

References in corpus (29)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Theory of ultracold Fermi gases
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Universality in Few-body Systems with Large Scattering Length
• Large momentum part of fermions with large scattering length
• Weakly bound dimers of fermionic atoms
• Deterministic Preparation of a Tunable Few-Fermion System
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Molecules of Fermionic Atoms in an Optical Lattice
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Few-body physics with ultracold atomic and molecular systems in traps
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
• Pairing in few-fermion systems with attractive interactions
• Virial expansion for a strongly correlated Fermi gas
• Universal properties of a trapped two-component Fermi gas at unitarity
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
• Density-functional theory for fermions in the unitary regime
• Energy spectrum of harmonically trapped two-component Fermi gases: Three- and Four-Particle Problem
• The Hyperspherical Four-Fermion Problem
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Illustration of universal relations for trapped four-fermion system with arbitrary s-wave scattering length
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
• A new effective interaction for the trapped fermi gas: the BEC-BCS crossover
• Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases

Cited by in corpus (7)

• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Universality of the unitary Fermi gas: A few-body perspective
• Trapped unitary two-component Fermi gases with up to ten particles
• Two-body quench dynamics of harmonically trapped interacting particles
• Long-lived trimers in a quasi-two-dimensional Fermi system
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• Analysis of two and three dipolar bosons in a spherical harmonic trap