Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench

Abstract

We investigate the mechanisms of control and suppression of pre-thermalization in $N$-component alkaline earth gases. To this end, we compute the short-time dynamics of the instantaneous momentum distribution and the relative population for different initial conditions after an interaction quench, accounting for the 11 peffect of initial interactions. We find that switching on an interaction that breaks the SU$(N)$ symmetry of the initial Hamiltonian, thus allowing for the occurrence of spin-changing collisions, does not necessarily lead to a suppression of pre-thermalization. However, the suppression will be most effective in the presence of SU$(N)$-breaking interactions provided the number of components $N\ge 4$ and the initial state contains a population imbalance that breaks the SU$(N)$ symmetry. We also find the conditions on the imbalance initial state that allow for a pre-thermal state to be stabilized for a certain time. Our study highlights the important role played by the initial state in the pre-thermalization dynamics of multicomponent Fermi gases. It also demonstrates that alkaline-earth Fermi gases provide an interesting playground for the study and control of pre-thermalization.

11 pages, 8 figures

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Cited by in corpus (10)

• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• SU(N) magnetism with ultracold molecules
• Itinerant ferromagnetism in dilute SU(N) Fermi gases
• Observation of Anomalous Decay of a Polarized Three-Component Fermi Gas
• SU($N$) symmetry with ultracold alkali dimers: weak dependence of scattering properties on hyperfine state
• Beyond universality in repulsive SU(N) Fermi gases
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance