Unravelling the non-Markovian spin-boson model and quantum quasi-Otto cycle
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912363626627072 |
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| author | Pradhan, Shreyas Harshal Soufy, Hadi Mohammed Anand, Vishal Chattopadhyay, Rik Mitra, Subhadip Bhattacharya, Samyadeb |
| author_facet | Pradhan, Shreyas Harshal Soufy, Hadi Mohammed Anand, Vishal Chattopadhyay, Rik Mitra, Subhadip Bhattacharya, Samyadeb |
| contents | We use the spin-boson model to describe the dynamics of a two-level atom interacting with Fabry-Pérot cavity modes. We solve the Schrödinger equation for the system-bath model without the Born-Markov approximation to derive the non-Markovian reduced dynamics of the qubit. We further construct an exact Lindblad-type master equation for it. Similar to the quantum Otto cycle, we construct a non- Markovian quasi-cyclic process based on the atom-cavity interactions, which we call the quasi-Otto cycle. For judicious choices of input state and parameters, the quasi-cycle can be more efficient as a quantum engine than the Otto cycle. We also showed that if the quasi-cycle is repeated multiple times, the efficiency of the quasi-Otto engine asymptotically approaches that of the Otto engine. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04107 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unravelling the non-Markovian spin-boson model and quantum quasi-Otto cycle Pradhan, Shreyas Harshal Soufy, Hadi Mohammed Anand, Vishal Chattopadhyay, Rik Mitra, Subhadip Bhattacharya, Samyadeb Quantum Physics We use the spin-boson model to describe the dynamics of a two-level atom interacting with Fabry-Pérot cavity modes. We solve the Schrödinger equation for the system-bath model without the Born-Markov approximation to derive the non-Markovian reduced dynamics of the qubit. We further construct an exact Lindblad-type master equation for it. Similar to the quantum Otto cycle, we construct a non- Markovian quasi-cyclic process based on the atom-cavity interactions, which we call the quasi-Otto cycle. For judicious choices of input state and parameters, the quasi-cycle can be more efficient as a quantum engine than the Otto cycle. We also showed that if the quasi-cycle is repeated multiple times, the efficiency of the quasi-Otto engine asymptotically approaches that of the Otto engine. |
| title | Unravelling the non-Markovian spin-boson model and quantum quasi-Otto cycle |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.04107 |