Nonequilibrium dynamics of spin-orbit coupled lattice bosons

TL;DR

This paper investigates the non-equilibrium behavior of spin-orbit coupled bosonic atoms in a 1D optical lattice, revealing how spin-orbit interactions influence relaxation and magnetization dynamics in different regimes.

Contribution

It provides a detailed analysis of the non-equilibrium dynamics in a spin-orbit coupled bosonic system mapped to a quantum spin model, highlighting the role of system size and interaction effects.

Findings

Magnetization time averages characterize many-body dynamics.

System exhibits relaxation and non-stationary behavior depending on interaction regimes.

Even and odd lattice sites show distinct dynamical features.

Abstract

We study the non-equilibrium dynamics of two component bosonic atoms in a one-dimensional optical lattice in the presence of spin-orbit coupling. In the Mott insulating regime, the two-component bosonic system at unity filling can be described by the quantum spin XXZ model. The atoms are initially prepared in their lower spin states. The system becomes out of equilibrium by suddenly introducing spin-orbit coupling to the atoms. The system shows the relaxation and non-stationary dynamics, respectively, in the different interaction regimes. We find that the time average of magnetization is useful to characterize the many-body dynamics. The effects of even and odd numbers of sites are discussed. Our result sheds light on non-equilibrium dynamics due to the interplay between spin-orbit coupling and atomic interactions.