Enhancing Many-Body Chaos via Entropy Injection from Environment

• URL: http://arxiv.org/abs/2606.11784v1
• Date: Wed, 10 Jun 2026 08:16:17 GMT
• Title: Enhancing Many-Body Chaos via Entropy Injection from Environment
• Abstract summary: In closed quantum systems, local information spreads throughout the entire system and becomes highly complex under unitary evolution.<n>In this work, we identify entropy injection from the environment as a different physical process that instead enhances many-body chaos.
• Score: 25.02042066713773
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In closed quantum systems, local information spreads throughout the entire system and becomes highly complex under unitary evolution. In contrast, when the system is embedded in an environment, system-environment coupling can transfer information from the system into the environment, thereby reducing the rate of complexity growth within the system. This leads to the environment-induced scrambling transition established in previous works. In this work, we identify entropy injection from the environment as a different physical process that instead enhances many-body chaos. Our setup consists of coupling a system that is already in equilibrium with one environment to another environment, which serves as an entropy reservoir and drives the system into a non-equilibrium state. When entropy flows into the system through either heat transfer or particle transfer, the effective Hilbert space explored by the system enlarges, a mechanism that can enhance many-body chaos. We explicitly demonstrate this idea by constructing a solvable complex Brownian SYK model, in which both the relaxation toward the steady state and the steady-state quantum Lyapunov exponent can be computed analytically. Our results provide a controllable mechanism for tuning quantum scrambling through entropy flow in quantum many-body systems coupled to environments.

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