Emergence of distinct relaxation behaviour and Quantum Regression Theorem in the Ultra-strong Coupling Limit
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| Format: | Preprint |
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2025
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| _version_ | 1866912532867842048 |
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| author | Khan, Sakil Agarwalla, Bijay Kumar |
| author_facet | Khan, Sakil Agarwalla, Bijay Kumar |
| contents | In the framework of open quantum systems, we derive the dynamical equation governing two-time correlation functions in the ultra-strong coupling (USC) regime between the system and its environment. Unlike the case of the standard weak-coupling regime, in the USC case, we find distinct relaxation behavior for two-time correlators depending on the types of the operators involved in the correlation function. Interestingly, the Quantum Regression Theorem (QRT) emerges after the fastest relaxation time-scale, which is governed by the system-bath coupling strength. We exemplify our findings for the dissipative spin-boson model and further find excellent agreement with the numerically exact hierarchical equations of motion (HEOM) method. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08378 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergence of distinct relaxation behaviour and Quantum Regression Theorem in the Ultra-strong Coupling Limit Khan, Sakil Agarwalla, Bijay Kumar Statistical Mechanics Mesoscale and Nanoscale Physics High Energy Physics - Theory Quantum Physics In the framework of open quantum systems, we derive the dynamical equation governing two-time correlation functions in the ultra-strong coupling (USC) regime between the system and its environment. Unlike the case of the standard weak-coupling regime, in the USC case, we find distinct relaxation behavior for two-time correlators depending on the types of the operators involved in the correlation function. Interestingly, the Quantum Regression Theorem (QRT) emerges after the fastest relaxation time-scale, which is governed by the system-bath coupling strength. We exemplify our findings for the dissipative spin-boson model and further find excellent agreement with the numerically exact hierarchical equations of motion (HEOM) method. |
| title | Emergence of distinct relaxation behaviour and Quantum Regression Theorem in the Ultra-strong Coupling Limit |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2508.08378 |