Two and Three-body Contacts in the Unitary Bose Gas

Abstract

In many-body systems governed by pairwise contact interactions, a wide range of observables is linked by a single parameter, the two-body contact, which quantifies two-particle correlations. This profound insight has transformed our understanding of strongly interacting Fermi gases. Here, using Ramsey interferometry, we study coherent evolution of the resonantly interacting Bose gas, and show that it cannot be explained by only pairwise correlations. Our experiments reveal the crucial role of three-body correlations arising from Efimov physics, and provide a direct measurement of the associated three-body contact.

arXiv comment4 pages, 4 figures and Supplementary Materials of 7 pages, 4 figures

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• Theory of radio-frequency spectroscopy of impurities in quantum gases
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• Observing the two-dimensional Bose glass in an optical quasicrystal
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
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• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
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• Tan's two-body contact across the superfluid transition of a planar Bose gas
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• Measuring nonlocal three-body spatial correlations with Rydberg trimers in ultracold quantum gases
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• Tan's contact as an indicator of completeness and self-consistency of a theory
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• Elliptic flow in a strongly-interacting normal Bose gas
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• Hyperspherical-LOCV Approximation to Resonant BEC
• Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Interferometry of Efimov states in thermal gases by modulated magnetic fields
• Observation of state-to-state hyperfine-changing collision in a Bose-Fermi mixture of ${}^6$Li and ${}^{41}$K atoms
• Fast in situ observation of atomic Feshbach resonances by photoassociative ionization
• Phase diffusion in trapped-atom interferometers
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• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
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• Three-body contact for fermions. I. General relations
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
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• Dynamic virial theorem at nonequilibrium and applications
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• An efficient high-current circuit for fast radio-frequency spectroscopy in cold atomic gases
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