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

Abstract

We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings, the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime. We first present a two-mode model valid in two and three dimensions and then move to one dimension, where the problem is described by a gapped Sine-Gordon theory. Combining analytical and numerical methods, we compute universal time-dependent expectation values, allowing a quantitative comparison with future experiments.

4+4pages, 7 figures, close to published version

References in corpus (9)

• The density-matrix renormalization group in the age of matrix product states
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Matter-wave interferometry in a double well on an atom chip
• Nonequilibrium quantum criticality in open electronic systems
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
• Intrinsic dephasing in one dimensional ultracold atom interferometers
• Short time relaxation of a driven elastic string in a random medium