Polaron Transformed Canonically Consistent Quantum Master Equation
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arXiv
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| Format: | Preprint |
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2026
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| author | Thingna, Juzar Xu, Xiansong Manzano, Daniel |
| author_facet | Thingna, Juzar Xu, Xiansong Manzano, Daniel |
| contents | A central challenge in the theory of open quantum systems is the development of theoretical frameworks capable of accurately describing large, strongly interacting quantum many-body systems in the regime of strong system-bath interaction. In this work, we take a step toward this goal by formulating a polaron-transformed version of the canonically consistent quantum master equation (CCQME) [T. Becker et al., Phys. Rev. Lett. 129, 200403 (2022)]. The CCQME extends beyond standard weak-coupling approaches while retaining the same numerical complexity as conventional quantum master equations, thereby enabling the treatment of large quantum systems. The polaron transformation further enhances the accessible system-bath interaction strengths, allowing us to move from moderate to strong interaction regimes. We present a unified and transparent derivation of these two approaches and combine them to obtain the polaron-transformed CCQME (PT-CCQME). Applying our method to the paradigmatic spin-boson model, we find excellent agreement with numerically exact time-evolving matrix product operator (TEMPO) simulations. Finally, we predict an initial-state-independent slowing down of thermalization in the strong-coupling regime of the spin-boson model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02731 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polaron Transformed Canonically Consistent Quantum Master Equation Thingna, Juzar Xu, Xiansong Manzano, Daniel Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics A central challenge in the theory of open quantum systems is the development of theoretical frameworks capable of accurately describing large, strongly interacting quantum many-body systems in the regime of strong system-bath interaction. In this work, we take a step toward this goal by formulating a polaron-transformed version of the canonically consistent quantum master equation (CCQME) [T. Becker et al., Phys. Rev. Lett. 129, 200403 (2022)]. The CCQME extends beyond standard weak-coupling approaches while retaining the same numerical complexity as conventional quantum master equations, thereby enabling the treatment of large quantum systems. The polaron transformation further enhances the accessible system-bath interaction strengths, allowing us to move from moderate to strong interaction regimes. We present a unified and transparent derivation of these two approaches and combine them to obtain the polaron-transformed CCQME (PT-CCQME). Applying our method to the paradigmatic spin-boson model, we find excellent agreement with numerically exact time-evolving matrix product operator (TEMPO) simulations. Finally, we predict an initial-state-independent slowing down of thermalization in the strong-coupling regime of the spin-boson model. |
| title | Polaron Transformed Canonically Consistent Quantum Master Equation |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2604.02731 |