Ground-state properties of unitary bosons: from clusters to matter

Abstract

The properties of cold Bose gases at unitarity have been extensively investigated in the last few years both theoretically and experimentally. In this paper we use a family of interactions tuned to two-body unitarity and very weak three-body binding to demonstrate the universal properties of both clusters and matter. We determine the universal properties of finite clusters up to 60 particles and, for the first time, explicitly demonstrate the saturation of energy and density with particle number and compare with bulk properties. At saturation in the bulk we determine the energy, density, two- and three-body contacts and the condensate fraction. We find that uniform matter is more bound than three-body clusters by nearly two orders of magnitude, the two-body contact is very large in absolute terms, and yet the condensate fraction is also very large, greater than 90%. Equilibrium properties of these systems may be experimentally accessible through rapid quenching of weakly-interacting boson superfluids.

5 pages, 4 figures

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• Theory of ultracold Fermi gases
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• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Universal Relations for Identical Bosons from 3-Body Physics
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• Effective Field Theory for Few-Boson Systems
• $N$-boson spectrum from a Discrete Scale Invariance
• Monte Carlo Simulations of the Unitary Bose Gas

Cited by in corpus (10)

• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
• Kinetic formation of trimers in a spinless fermionic chain
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Synergy between deep neural networks and the variational Monte Carlo method for small ${}^{4}H{e}_N$ clusters
• Triple-X and beyond: hadronic systems of three and more X(3872)
• A Many-Body Density Energy Functional
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• The role of the effective range in strongly-interacting few-body systems