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We consider a quantum quench in which two initially independent condensatesare suddenly coupled, and study the subsequent "rephasing" dynamics. For weakcouplings, the time-evolution of physical observables is predicted to followuniversal scaling laws, connecting the short-time dynamics to the long-timenon-perturbative regime. We first present a two-mode model valid in two andthree dimensions and then move to one dimension, where the problem is describedby a gapped Sine-Gordon theory. Combining analytical and numerical methods, wecompute universal time-dependent expectation values, allowing a quantitativecomparison with future experiments.

Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates