Relaxation dynamics in the (double) sine-Gordon model -- an open-system viewpoint

• URL: http://arxiv.org/abs/2408.14428v1
• Date: Mon, 26 Aug 2024 17:16:20 GMT
• Title: Relaxation dynamics in the (double) sine-Gordon model -- an open-system viewpoint
• Authors: D. Szász-Schagrin, D. X. Horváth, G. Takács,
• Abstract summary: We study the effects of integrability breaking on the relaxation dynamics of the (double) sine-Gordon model. Our findings demonstrate that in the presence of integrability-breaking perturbations, the relaxation dynamics is substantially faster.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the effects of integrability breaking on the relaxation dynamics of the (double) sine-Gordon model. Compared to previous studies, we apply an alternative viewpoint motivated by open-system physics by separating the phase field into homogeneous and inhomogeneous parts, describing a quantum pendulum (subsystem) and an interacting phononic bath (environment). To study the relaxation dynamics in the model, we perform quantum quenches using the mini-superspace-based truncated Hamiltonian approach developed recently and simulate the real-time evolution of various entanglement measures and the energy transfer between the subsystem and its environment. Our findings demonstrate that in the presence of integrability-breaking perturbations, the relaxation dynamics is substantially faster, signalled by the increase of entanglement and energy transfer between the quantum pendulum and the phonon bath.

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