Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917048872861696 |
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| author | Lu, Jianfeng |
| author_facet | Lu, Jianfeng |
| contents | We consider quantitative convergence analysis for hypocoercive dynamics such as Langevin and Lindblad equations describing classical and quantum open systems. Our goal is to provide an overview of recent results of hypocoercivity estimates based on space-time Poincare inequality, providing a unified treatment for classical and quantum dynamics. Furthermore, we also present a unified lifting framework for accelerating both classical and quantum Markov semigroups, which leads to upper and lower bounds of convergence rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics Lu, Jianfeng Analysis of PDEs Numerical Analysis We consider quantitative convergence analysis for hypocoercive dynamics such as Langevin and Lindblad equations describing classical and quantum open systems. Our goal is to provide an overview of recent results of hypocoercivity estimates based on space-time Poincare inequality, providing a unified treatment for classical and quantum dynamics. Furthermore, we also present a unified lifting framework for accelerating both classical and quantum Markov semigroups, which leads to upper and lower bounds of convergence rates. |
| title | Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2510.22305 |