Renormalized contact interaction in degenerate unitary Bose gases

Abstract

We renormalize the two-body contact interaction based on the exact solution of two interacting particles in a harmonic trap. This renormalization extends the validity of the contact interaction to large scattering lengths. We apply this renormalized interaction to a degenerate unitary Bose gas to study its stationary properties and elementary excitations using the mean-field theory and the hyperspherical method. Since the scattering length is no longer a relevant length scale at unitarity, universal properties are obtained that depend only on the average particle density. Our treatment shows that the universal relations for the total energy and for the two-body contact are $E/N=12.67{\hslash }^2⟨n^{2/3}⟩/2m$ and $C_2/N=11.8⟨n^{1/3}⟩$ respectively.

arXiv comment8 pages, 6 figures

References in corpus (30)

• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Weakly bound dimers of fermionic atoms
• The Unitary Fermi Gas: From Monte Carlo to Density Functionals
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Contact Measurements on Atomic BEC
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Universal dynamics of a degenerate unitary Bose gas
• Three-body recombination in Bose gases with large scattering length
• Origin of the Three-body Parameter Universality in Efimov Physics
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Cold Bose gases with large scattering lengths
• Universal Relations for Identical Bosons from 3-Body Physics
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Universal three-body parameter in heteronuclear atomic systems
• Quenching to unitarity: Quantum dynamics in a 3D Bose gas
• Two-body and Three-body Contacts for Identical Bosons near Unitarity
• Ground State Properties of Cold Bosonic Atoms At Large Scattering Lengths
• Ground state of a resonantly interacting Bose gas
• The Hyperspherical Four-Fermion Problem
• Monte Carlo Simulations of the Unitary Bose Gas
• Bose Gases Near Resonance: renormalized interactions in a condensate
• Momentum distribution of a dilute unitary Bose gas with three-body losses
• Hyperspherical Description of the Degenerate Fermi Gas: S-wave Interactions
• Renormalized mean-field theory for a two-component Fermi gas with s-wave interactions
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Momentum distribution in the unitary Bose gas from first principles

Cited by in corpus (11)

• Universal few-body physics and cluster formation
• Few-body physics in resonantly interacting ultracold quantum gases
• Efimov Physics in Quenched Unitary Bose Gases
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Harmonically Trapped Four-Boson System
• Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity
• Self-similarly corrected Pade approximants for nonlinear equations
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• Hyperspherical-LOCV Approximation to Resonant BEC
• Two-Step Production of Resonant Bose-Einstein Condensates
• Hyperspherical approach to dipolar Bose-Einstein condensates beyond the mean-field limit