Continuous quantum measurement for general Gaussian unravelings can exist
Quantum measurements and the associated state changes are properly described in the language of instruments. We investigate the properties of a time continuous family of instruments associated with the recently introduced class of general Gaussian non-Markovian stochastic Schrödinger equations. In t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.043376 |
| _version_ | 1797211128565071872 |
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| author | Nina Megier Walter T. Strunz Kimmo Luoma |
| author_facet | Nina Megier Walter T. Strunz Kimmo Luoma |
| author_sort | Nina Megier |
| collection | DOAJ |
| description | Quantum measurements and the associated state changes are properly described in the language of instruments. We investigate the properties of a time continuous family of instruments associated with the recently introduced class of general Gaussian non-Markovian stochastic Schrödinger equations. In this article we find that when the covariance matrix for the Gaussian noise satisfies a particular δ-function constraint, the measurement interpretation is possible for a class of models with self-adjoint coupling operator. This class contains, for example the spin-boson and quantum Brownian motion models with colored bath correlation functions. Remarkably, due to quantum memory effects the reduced state, in general, does not obey a closed form master equation while the unraveling has a time continuous measurement interpretation. |
| first_indexed | 2024-04-24T10:21:34Z |
| format | Article |
| id | doaj.art-5cb3b7651cae4dfa819da683da720fc0 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:21:34Z |
| publishDate | 2020-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5cb3b7651cae4dfa819da683da720fc02024-04-12T17:05:16ZengAmerican Physical SocietyPhysical Review Research2643-15642020-12-012404337610.1103/PhysRevResearch.2.043376Continuous quantum measurement for general Gaussian unravelings can existNina MegierWalter T. StrunzKimmo LuomaQuantum measurements and the associated state changes are properly described in the language of instruments. We investigate the properties of a time continuous family of instruments associated with the recently introduced class of general Gaussian non-Markovian stochastic Schrödinger equations. In this article we find that when the covariance matrix for the Gaussian noise satisfies a particular δ-function constraint, the measurement interpretation is possible for a class of models with self-adjoint coupling operator. This class contains, for example the spin-boson and quantum Brownian motion models with colored bath correlation functions. Remarkably, due to quantum memory effects the reduced state, in general, does not obey a closed form master equation while the unraveling has a time continuous measurement interpretation.http://doi.org/10.1103/PhysRevResearch.2.043376 |
| spellingShingle | Nina Megier Walter T. Strunz Kimmo Luoma Continuous quantum measurement for general Gaussian unravelings can exist Physical Review Research |
| title | Continuous quantum measurement for general Gaussian unravelings can exist |
| title_full | Continuous quantum measurement for general Gaussian unravelings can exist |
| title_fullStr | Continuous quantum measurement for general Gaussian unravelings can exist |
| title_full_unstemmed | Continuous quantum measurement for general Gaussian unravelings can exist |
| title_short | Continuous quantum measurement for general Gaussian unravelings can exist |
| title_sort | continuous quantum measurement for general gaussian unravelings can exist |
| url | http://doi.org/10.1103/PhysRevResearch.2.043376 |
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