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A macroscopic version of Einstein-Podolsky-Rosen entanglement is obtained byquenching a quadratic coupling between two O(N) vector models. A quench of themixed vacuum produces an excited entangled state, reminiscent of purifiedthermal equilibrium, whose properties can be studied analytically in the freelimit of the individual field theories. The decoupling of different wavelengthmodes in free field theory prevents true thermalisation but a more subtledifference is that the density operator obtained by a partial trace does notcommute with the post-quench Hamiltonian. Generalized thermal behaviour isobtained at late times, in the limit of weak initial mixing or a smooth butrapid quench. More surprisingly, late-time correlation functions of compositeoperators in the post-quench free field theory share interesting propertieswith correlators in strongly coupled systems. We propose a holographicinterpretation of our result.

Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models