Stability of Quantum Systems beyond Canonical Typicality
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913439821070336 |
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| author | Su, Yu Zhu, Zi-Fan Wang, Yao Xu, Rui-Xue Yan, YiJing |
| author_facet | Su, Yu Zhu, Zi-Fan Wang, Yao Xu, Rui-Xue Yan, YiJing |
| contents | 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 $\tildeχ(ω= 0+)>0$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of Quantum Systems beyond Canonical Typicality Su, Yu Zhu, Zi-Fan Wang, Yao Xu, Rui-Xue Yan, YiJing Quantum Physics Chemical Physics 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 $\tildeχ(ω= 0+)>0$. 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. |
| title | Stability of Quantum Systems beyond Canonical Typicality |
| topic | Quantum Physics Chemical Physics |
| url | https://arxiv.org/abs/2407.15345 |