Open quantum-classical systems: A hybrid MASH master equation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908918596239360 |
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| author | Asnaashari, Kasra Richardson, Jeremy O. |
| author_facet | Asnaashari, Kasra Richardson, Jeremy O. |
| contents | We propose a method which combines the quantum-classical mapping approach to surface hopping (MASH) with the dissipative quantum dynamics of the Lindblad master equation. Like conventional surface-hopping methods, our approach is based on classical trajectories coupled to the dynamics of a quantum subsystem. However, instead of evolving the subsystem wavefunction according to the time-dependent Schrödinger equation, we use stochastic quantum trajectories derived from secular Redfield theory. This enables the simulation of open quantum systems coupled simultaneously to Markovian quantum baths and anharmonic non-Markovian classical degrees of freedom. Applications to the spin--boson model and to the cavity-enhanced fluorescence of an electronically nonadiabatic molecule show excellent agreement with fully quantum-mechanical benchmarks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Open quantum-classical systems: A hybrid MASH master equation Asnaashari, Kasra Richardson, Jeremy O. Quantum Physics Chemical Physics We propose a method which combines the quantum-classical mapping approach to surface hopping (MASH) with the dissipative quantum dynamics of the Lindblad master equation. Like conventional surface-hopping methods, our approach is based on classical trajectories coupled to the dynamics of a quantum subsystem. However, instead of evolving the subsystem wavefunction according to the time-dependent Schrödinger equation, we use stochastic quantum trajectories derived from secular Redfield theory. This enables the simulation of open quantum systems coupled simultaneously to Markovian quantum baths and anharmonic non-Markovian classical degrees of freedom. Applications to the spin--boson model and to the cavity-enhanced fluorescence of an electronically nonadiabatic molecule show excellent agreement with fully quantum-mechanical benchmarks. |
| title | Open quantum-classical systems: A hybrid MASH master equation |
| topic | Quantum Physics Chemical Physics |
| url | https://arxiv.org/abs/2511.05282 |