Three-body spin mixing in spin-1 Bose-Einstein condensates

Abstract

We study zero-energy collisions between three identical bosons with spin $f=1$ interacting via pairwise potentials. We quantify the corresponding three-body scattering hypervolumes, which parametrize the effective three-body interaction strengths in a many-body description of spin-1 Bose-Einstein condensates. Our results demonstrate universal behavior of the scattering hypervolumes for strong $s$- and $p$-wave two-body interactions. At weak interactions we find that the real parts of the scattering hypervolumes are predominantly determined by hard-hyperspherelike collisions which we characterize by a simple formula. With this universal result we estimate that spin mixing via three-body collisions starts to dominate over two-body spin mixing at a typical particle density of $10^{17}{\mathrm{cm}}^{-3}$ for ${}^{23}$Na and ${}^{41}$K spinor condensates. This density can be reduced by tuning the two-body interactions to an $s$- or $p$-wave dimer resonance or to a point where two-body spin mixing effectively vanishes. Another possibility to observe effects of three-body spin mixing involves the application of weak magnetic fields to cancel out the effective two-body interaction strength in the characteristic timescale describing the spin dynamics.

arXiv comment18 pages, 6 figures

References in corpus (47)

• Feshbach Resonances in Ultracold Gases
• Spinor Bose Condensates in Optical Traps
• Spin domains in ground state spinor Bose-Einstein condensates
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Spinor Bose-Einstein condensates
• Quantum spins mixing in spinor Bose-Einstein condensates
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein Condensates
• Dynamics of F=2 Spinor Bose-Einstein Condensates
• Dilute Quantum Droplets
• On the nature of spinor Bose-Einstein condensates in rubidium
• Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate
• Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium
• The Dilute Bose-Einstein Condensate with Large Scattering Length
• Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
• Hyperfine, rotational, and vibrational structure of the triplet ground state of Rb molecules
• Spontaneous spin textures in dipolar spinor condensates
• Spontaneous demagnetization of a dipolar spinor Bose gas at ultra-low magnetic field
• Microwave-induced Fano-Feshbach resonances
• Quantum phases of dipolar spinor condensates
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Few-body physics in resonantly interacting ultracold quantum gases
• Collective excitations of a spherical ultradilute quantum droplet
• Contrasting the wide Feshbach resonances in ${}^6$Li and ${}^7$Li
• Photoassociation spectroscopy of a Spin-1 Bose-Einstein condensate
• Observation of a strongly ferromagnetic spinor Bose-Einstein condensate
• Quantum Noise, Scaling and Domain Formation in a Spinor BEC
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Universal three-body recombination via resonant d-wave interactions
• Van der Waals universality near a quantum tricritical point
• From many-body oscillations to thermalization in an isolated spinor gas
• Finite-range effects in Efimov physics beyond the separable approximation
• Quantum-Fluctuation-Driven Coherent Spin Dynamics in Small Condensates
• Beyond Born-Oppenheimer approximation in ultracold atomic collisions
• Scattering hypervolume for ultracold bosons from weak to strong interactions
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
• Quantum unbinding near a zero temperature liquid-gas transition
• Magnetic quantum number resolved state-to-state chemistry
• Three-body Physics in Strongly Correlated Spinor Condensates
• Effective Control of Cold Collisions with Radio Frequency Fields
• Three-body scattering hypervolumes of particles with short-range interactions
• Efficient three-body calculations with a two-body mapped grid method
• Three-Body Scattering Hypervolume of Particles with Unequal Masses
• Three-body universality in ultracold $p$-wave resonant mixtures
• On the Appearance of Families of Efimov States in the Spinor Three-Body Problem
• Universal relations between atomic dipolar relaxation and van der Waals interaction

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