Out-of-equilibrium dynamics of the XY spin chain from form factor expansion

• URL: http://arxiv.org/abs/2106.08359v1
• Date: Tue, 15 Jun 2021 18:06:36 GMT
• Title: Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Authors: Etienne Granet, Henrik Dreyer, Fabian H. L. Essler
• Abstract summary: We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium physics in this model. We show that $all$ correlation functions in the CE can be computed using form factor expansion and expressed in terms of Fredholm determinants. In particular, we present exact out-of-equilibrium expressions in the thermodynamic limit for the previously unknown order parameter one-point function, dynamical two-point function and equal-time three-point function.

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