Faster Relaxation Dynamics Observed in Sine-Gordon Model

Recent research by D. Szász-Schagrin, D. X. Horváth, and G. Takács explores the relaxation dynamics in the (double) sine-Gordon model from an open-system perspective. The study, titled "Relaxation dynamics in the (double) sine-Gordon model -- an open-system viewpoint," was submitted on August 26, 2024, and is available on arXiv under the identifier 2408.14428.

The authors investigate how integrability breaking affects the relaxation dynamics of the sine-Gordon model. They introduce a novel approach by separating the phase field into homogeneous and inhomogeneous components, which allows for a clearer understanding of the interactions between a quantum pendulum (the subsystem) and an interacting phononic bath (the environment).

To analyze the relaxation dynamics, the researchers employed quantum quenches using a mini-superspace-based truncated Hamiltonian approach. This method enabled them to simulate the real-time evolution of various entanglement measures and energy transfer between the subsystem and its environment.

The findings indicate that when integrability-breaking perturbations are present, the relaxation dynamics occur at a significantly faster rate. This is evidenced by an increase in both entanglement and energy transfer between the quantum pendulum and the phonon bath. Such insights could have implications for understanding quantum systems and their interactions, potentially influencing future research in quantum physics and related fields.