Stability of Quantum Systems beyond Canonical Typicality

• URL: http://arxiv.org/abs/2407.15345v1
• Date: Mon, 22 Jul 2024 02:59:04 GMT
• Title: Stability of Quantum Systems beyond Canonical Typicality
• Authors: Yu Su, Zi-Fan Zhu, Yao Wang, Rui-Xue Xu, YiJing Yan,
• Abstract summary: We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. The stability of system distribution is largely affected by the system--bath interaction strength.
• Score: 9.632520418947305
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Involvement of the environment is indispensable for establishing the statistical distribution of system. We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. This distribution is determined by tracing over the bath's degrees of freedom for the equilibrium system-plus-bath composite. The stability of system distribution is largely affected by the system--bath interaction strength. We propose that the quantum system exhibits a stable distribution only when its system response function in the frequency domain satisfies $\tilde\chi(\omega = 0+)>0$. We show our results by investigating the non-interacting bosonic impurity system from both the thermodynamic and dynamic perspectives. Our study refines the theoretical framework of canonical statistics, offering insights into thermodynamic phenomena in small-scale systems.

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