Bose-Einstein condensates possessing a spin degree of freedom that can evolve freely serve both as a testbed for many-body entanglement and for extending our understanding of out-of-equilibrium dynamics in degenerate gases. Well isolated from the environment in an optical dipole trap, collisions are the dominant mechanism for thermalization and pre-thermalization dynamics, but can also generate squeezing and entanglement. In this talk, I will introduce spinor Bose-Einstein condensates and their dynamics in the single-spatial-mode regime, discuss recent experiments showing the production of squeezed states at zero temperature, and consider the possibility of extending these to non-condensed systems.
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