Entropy production and correlation spreading in the interaction between
particle detector and thermal baths
- URL: http://arxiv.org/abs/2111.04050v3
- Date: Fri, 8 Jul 2022 06:16:38 GMT
- Title: Entropy production and correlation spreading in the interaction between
particle detector and thermal baths
- Authors: Hao Xu, Si Yu Chen
- Abstract summary: We study the entropy production and correlation spreading in the interaction between Unruh-DeWitt-like particle detector and thermal baths.
We can observe that the entropy production implies quantum recurrence and shows periodicity.
- Score: 10.02300359702222
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Entropy production is the key to the second law of thermodynamics, and it is
well defined by considering a joint unitary evolution of a system $S$ and a
thermal environment $E$. However, due to the diversity of the initial state and
Hamiltonian of the system and environment, it is hard to evaluate the
characterisation of entropy production. In the present work, we propose that
the evolution of $S$ and $E$ can be solved non-perturbatively in the framework
of Gaussian quantum mechanics (GQM). We study the entropy production and
correlation spreading in the interaction between Unruh-DeWitt-like particle
detector and thermal baths, where the particle detector is set to be a harmonic
oscillator and the thermal baths are made of interacting and noninteracting
Gaussian states. We can observe that the entropy production implies quantum
recurrence and shows periodicity. In the case of interacting bath, the
correlation propagates in a periodic system and leads to a revival of the
initial state. Our analysis can be extended to any other models in the
framework of GQM, and it may also shed some light on the AdS/CFT
correspondence.
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