Coherent spin mixing via spin-orbit coupling in Bose gases
J. Cabedo, J. Claramunt, A. Celi, Y. Zhang, V. Ahufinger, and J., Mompart

TL;DR
This paper investigates the complex many-body behavior of spin-1 Bose gases with synthetic spin-orbit coupling, revealing new correlated tunneling phenomena, integrability conditions, and experimental signatures in low-energy regimes.
Contribution
It derives a many-body Hamiltonian incorporating spin-orbit effects, identifies dominant correlated tunneling processes, and explores conditions for integrability and experimental observability.
Findings
Dominant correlated tunneling processes due to spin-orbit coupling
Existence of an integrable regime with spin-dependent dynamics
Experimental signatures observable through quench experiments
Abstract
We study beyond-mean-field properties of interacting spin-1 Bose gases with synthetic Rashba-Dresselhaus spin-orbit coupling at low energies. We derive a many-body Hamiltonian following a tight-binding approximation in quasi-momentum space, where the effective spin dependence of the collisions that emerges from spin-orbit coupling leads to dominant correlated tunneling processes that couple the different bound states. We discuss the properties of the spectrum of the derived Hamiltonian and its experimental signatures. In a certain region of the parameter space, the system becomes integrable, and its dynamics becomes analogous to that of a spin-1 condensate with spin-dependent collisions. Remarkably, we find that such dynamics can be observed in existing experimental setups through quench experiments that are robust against magnetic fluctuations.
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