Quasi-classical Limit of a Spin Coupled to a Reservoir
A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter $\varepsilon$ interpolating between quantum and classical reservoir features. We derive the explicit expression for the time-dependent reduced spin density matrix, valid for all values of $\varepsi...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-12-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-12-11-1561/pdf/ |
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| author | Michele Correggi Marco Falconi Michele Fantechi Marco Merkli |
| author_facet | Michele Correggi Marco Falconi Michele Fantechi Marco Merkli |
| author_sort | Michele Correggi |
| collection | DOAJ |
| description | A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter $\varepsilon$ interpolating between quantum and classical reservoir features. We derive the explicit expression for the time-dependent reduced spin density matrix, valid for all values of $\varepsilon$ and for energy conserving interactions. We study decoherence and markovianity properties. Our main finding is that the spin decoherence is enhanced (full decoherence) when the spin is coupled to quantum reservoir states while it is dampened (partial decoherence) when coupled to classical reservoir states. The markovianity properties depend in a subtle way on the classicality parameter $\varepsilon$ and on the finer details of the spin-reservoir interaction. We further examine scattering and periodicity properties for energy exchange interactions. |
| format | Article |
| id | doaj-art-c83c082d0df3471784cc49690e008af4 |
| institution | OA Journals |
| issn | 2521-327X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-c83c082d0df3471784cc49690e008af42025-08-20T02:33:47ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2024-12-018156110.22331/q-2024-12-11-156110.22331/q-2024-12-11-1561Quasi-classical Limit of a Spin Coupled to a ReservoirMichele CorreggiMarco FalconiMichele FantechiMarco MerkliA spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter $\varepsilon$ interpolating between quantum and classical reservoir features. We derive the explicit expression for the time-dependent reduced spin density matrix, valid for all values of $\varepsilon$ and for energy conserving interactions. We study decoherence and markovianity properties. Our main finding is that the spin decoherence is enhanced (full decoherence) when the spin is coupled to quantum reservoir states while it is dampened (partial decoherence) when coupled to classical reservoir states. The markovianity properties depend in a subtle way on the classicality parameter $\varepsilon$ and on the finer details of the spin-reservoir interaction. We further examine scattering and periodicity properties for energy exchange interactions.https://quantum-journal.org/papers/q-2024-12-11-1561/pdf/ |
| spellingShingle | Michele Correggi Marco Falconi Michele Fantechi Marco Merkli Quasi-classical Limit of a Spin Coupled to a Reservoir Quantum |
| title | Quasi-classical Limit of a Spin Coupled to a Reservoir |
| title_full | Quasi-classical Limit of a Spin Coupled to a Reservoir |
| title_fullStr | Quasi-classical Limit of a Spin Coupled to a Reservoir |
| title_full_unstemmed | Quasi-classical Limit of a Spin Coupled to a Reservoir |
| title_short | Quasi-classical Limit of a Spin Coupled to a Reservoir |
| title_sort | quasi classical limit of a spin coupled to a reservoir |
| url | https://quantum-journal.org/papers/q-2024-12-11-1561/pdf/ |
| work_keys_str_mv | AT michelecorreggi quasiclassicallimitofaspincoupledtoareservoir AT marcofalconi quasiclassicallimitofaspincoupledtoareservoir AT michelefantechi quasiclassicallimitofaspincoupledtoareservoir AT marcomerkli quasiclassicallimitofaspincoupledtoareservoir |