How to design quantum-jump trajectories via distinct master equation representations
Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing on quantum-jump unravelings, we demonstrate that there exist...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-10-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2022-10-13-835/pdf/ |
| _version_ | 1828724451952295936 |
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| author | Dariusz Chruściński Kimmo Luoma Jyrki Piilo Andrea Smirne |
| author_facet | Dariusz Chruściński Kimmo Luoma Jyrki Piilo Andrea Smirne |
| author_sort | Dariusz Chruściński |
| collection | DOAJ |
| description | Every open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing on quantum-jump unravelings, we demonstrate that there exists inherent freedom in how to assign the terms of the underlying master equation to the deterministic and jump parts of the stochastic description, which leads to a number of qualitatively different unravelings. As relevant examples, we show that a fixed basis of post-jump states can be selected under some definite conditions, or that the deterministic evolution can be set by a chosen time-independent non-Hermitian Hamiltonian, even in the presence of external driving. Our approach relies on the definition of rate operators, whose positivity equips each unraveling with a continuous-measurement scheme and is related to a long known but so far not widely used property to classify quantum dynamics, known as dissipativity. Starting from formal mathematical concepts, our results allow us to get fundamental insights into open quantum system dynamics and to enrich their numerical simulations. |
| first_indexed | 2024-04-12T13:08:27Z |
| format | Article |
| id | doaj.art-9c3dfd62d12c4d2fa3fba7985e19c7e4 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-12T13:08:27Z |
| publishDate | 2022-10-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-9c3dfd62d12c4d2fa3fba7985e19c7e42022-12-22T03:31:56ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-10-01683510.22331/q-2022-10-13-83510.22331/q-2022-10-13-835How to design quantum-jump trajectories via distinct master equation representationsDariusz ChruścińskiKimmo LuomaJyrki PiiloAndrea SmirneEvery open-system dynamics can be associated to infinitely many stochastic pictures, called unravelings, which have proved to be extremely useful in several contexts, both from the conceptual and the practical point of view. Here, focusing on quantum-jump unravelings, we demonstrate that there exists inherent freedom in how to assign the terms of the underlying master equation to the deterministic and jump parts of the stochastic description, which leads to a number of qualitatively different unravelings. As relevant examples, we show that a fixed basis of post-jump states can be selected under some definite conditions, or that the deterministic evolution can be set by a chosen time-independent non-Hermitian Hamiltonian, even in the presence of external driving. Our approach relies on the definition of rate operators, whose positivity equips each unraveling with a continuous-measurement scheme and is related to a long known but so far not widely used property to classify quantum dynamics, known as dissipativity. Starting from formal mathematical concepts, our results allow us to get fundamental insights into open quantum system dynamics and to enrich their numerical simulations.https://quantum-journal.org/papers/q-2022-10-13-835/pdf/ |
| spellingShingle | Dariusz Chruściński Kimmo Luoma Jyrki Piilo Andrea Smirne How to design quantum-jump trajectories via distinct master equation representations Quantum |
| title | How to design quantum-jump trajectories via distinct master equation representations |
| title_full | How to design quantum-jump trajectories via distinct master equation representations |
| title_fullStr | How to design quantum-jump trajectories via distinct master equation representations |
| title_full_unstemmed | How to design quantum-jump trajectories via distinct master equation representations |
| title_short | How to design quantum-jump trajectories via distinct master equation representations |
| title_sort | how to design quantum jump trajectories via distinct master equation representations |
| url | https://quantum-journal.org/papers/q-2022-10-13-835/pdf/ |
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