Extended system-bath entanglement theorem for multiple bosonic or fermionic environments

Fuente: arXiv
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Autores principales: Su, Yu, Qi, Hao-Yang, Chen, Zi-Hao, Wang, Yao, Xu, Rui-Xue, Yan, YiJing
Formato: Preprint
Publicado: 2024
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author Su, Yu
Qi, Hao-Yang
Chen, Zi-Hao
Wang, Yao
Xu, Rui-Xue
Yan, YiJing
author_facet Su, Yu
Qi, Hao-Yang
Chen, Zi-Hao
Wang, Yao
Xu, Rui-Xue
Yan, YiJing
contents The system-bath entanglement theorem (SBET) was established in terms of linear response functions [J. Chem. Phys. 152, 034102 (2020)] and generalized to correlation functions [arXiv: 2312.13618 (2023)] in our previous works. This theorem connects the entangled system-bath properties to the local system and bare bath ones. In this work, firstly we extend the SBET to field-dressed conditions with multiple bosonic Gaussian environments at different temperatures. Not only the system but also environments are considered to be of optical polarizability, as in reality. With the aid of the extended SBET developed here, for the evaluation of the nonlinear spectroscopy such as the pump-probe, the entangled system-bath contributions can be obtained upon reduced system evolutions via certain quantum dissipative methods. The extended SBET in the field-free condition and its counterpart in the classical limit is also presented. The SBET for fermionic environments is elaborated within the transport scenarios for completeness.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09228
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Extended system-bath entanglement theorem for multiple bosonic or fermionic environments
Su, Yu
Qi, Hao-Yang
Chen, Zi-Hao
Wang, Yao
Xu, Rui-Xue
Yan, YiJing
Quantum Physics
Chemical Physics
The system-bath entanglement theorem (SBET) was established in terms of linear response functions [J. Chem. Phys. 152, 034102 (2020)] and generalized to correlation functions [arXiv: 2312.13618 (2023)] in our previous works. This theorem connects the entangled system-bath properties to the local system and bare bath ones. In this work, firstly we extend the SBET to field-dressed conditions with multiple bosonic Gaussian environments at different temperatures. Not only the system but also environments are considered to be of optical polarizability, as in reality. With the aid of the extended SBET developed here, for the evaluation of the nonlinear spectroscopy such as the pump-probe, the entangled system-bath contributions can be obtained upon reduced system evolutions via certain quantum dissipative methods. The extended SBET in the field-free condition and its counterpart in the classical limit is also presented. The SBET for fermionic environments is elaborated within the transport scenarios for completeness.
title Extended system-bath entanglement theorem for multiple bosonic or fermionic environments
topic Quantum Physics
Chemical Physics
url https://arxiv.org/abs/2401.09228