Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
P. Siegl, S. I. Mistakidis, and P. Schmelcher

TL;DR
This paper investigates the non-equilibrium dynamics of a mass-balanced Bose-Fermi mixture in a one-dimensional optical lattice, focusing on how different initial phases and quench amplitudes influence expansion and tunneling behaviors.
Contribution
It provides a detailed analysis of the dynamical response regimes of Bose-Fermi mixtures under various quench conditions, highlighting differences between immiscible and miscible phases.
Findings
Rich response regimes in immiscible phase with distinct expansion and tunneling behaviors.
Dynamical response depends strongly on initial phase and quench amplitude.
Multiple response regimes characterized by different expansion strengths and tunneling channels.
Abstract
We unravel the correlated non-equilibrium dynamics of a mass balanced Bose-Fermi mixture in a one-dimensional optical lattice upon quenching an imposed harmonic trap from strong to weak confinement. Regarding the system's ground state, the competition between the inter and intraspecies interaction strength gives rise to the immiscible and miscible phases characterized by negligible and complete overlap of the constituting atomic clouds respectively. The resulting dynamical response depends strongly on the initial phase and consists of an expansion of each cloud and an interwell tunneling dynamics. For varying quench amplitude and referring to a fixed phase a multitude of response regimes is unveiled, being richer within the immiscible phase, which are described by distinct expansion strengths and tunneling channels.
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