Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics
arXiv:2007.08935 · doi:10.1103/PhysRevA.102.063314
Abstract
We study the quench of a degenerate ultracold Bose gas to the unitary regime, where interactions are as strong as allowed by quantum mechanics. We lay the foundations of a cumulant theory able to capture simultaneously the three-body Efimov effect and ergodic evolution. After an initial period of rapid quantum depletion, a universal prethermal stage is established characterized by a kinetic temperature and an emergent Bogoliubov dispersion law while the microscopic degrees of freedom remain far-from-equilibrium. Integrability is then broken by higher-order interaction terms in the many-body Hamiltonian, leading to a momentum-dependent departure from power law to decaying exponential behavior of the occupation numbers at large momentum. We find also signatures of the Efimov effect in the many-body dynamics and make a precise identification between the observed beating phenomenon and the binding energy of an Efimov trimer. Throughout the work, our predictions for a uniform gas are quantitatively compared with experimental results for quenched unitary Bose gases in uniform potentials.
34 pages, 12 figures
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- Gaussian-state Ansatz for the non-equilibrium dynamics of quantum spin lattices
- On the survival of the quantum depletion of a condensate after release from a magnetic trap
- Symmetry oscillations in strongly interacting one-dimensional mixtures
- High-momentum oscillating tails of strongly interacting 1D gases in a box
- Dynamical excitation processes and correlations of three-body two-dimensional mixtures
- Evolution of the unitary Bose gas for broad to narrow Feshbach resonances
- Universal coherent atom-molecule oscillations in the dynamics of the unitary Bose gas near a narrow Feshbach resonance
- Resonance triplet dynamics in the quenched unitary Bose gas
- Gaussian trajectory description of fragmentation in an isolated spinor condensate
- Non-equilibrium dynamics and atom-pair coherence in strongly interacting Bose-Fermi mixtures
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- Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach
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