Jumplike unravelings for non-Markovian open quantum systems
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Author(s)
Gambetta, J
Askerud, T
Wiseman, HM
Griffith University Author(s)
Year published
2004
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Show full item recordAbstract
Non-Markovian evolution of an open quantum system can be "unraveled" into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schrodinger equation, as introduced by Diӳi, Gisin, and Strunz. Recently we have shown that such equations can be derived using the modal (hidden variable) interpretation of quantum mechanics. In this paper we generalize this theory to treat jumplike unravelings. To illustrate the jumplike behavior we consider a simple system: a classically driven (at Rabi frequency O) two-level atom coupled linearly to a three mode optical bath, with a central frequency equal to the frequency ...
View more >Non-Markovian evolution of an open quantum system can be "unraveled" into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schrodinger equation, as introduced by Diӳi, Gisin, and Strunz. Recently we have shown that such equations can be derived using the modal (hidden variable) interpretation of quantum mechanics. In this paper we generalize this theory to treat jumplike unravelings. To illustrate the jumplike behavior we consider a simple system: a classically driven (at Rabi frequency O) two-level atom coupled linearly to a three mode optical bath, with a central frequency equal to the frequency of the atom, ?0, and the two side bands have frequencies ?0'O. In the large O limit we observed that the jumplike behavior is similar to that observed in this system with a Markovian (broad band) bath. This is expected as in the Markovian limit the fluorescence spectrum for a strongly driven two level atom takes the form of a Mollow triplet. However, the length of time for which the Markovian-like behavior persists depends upon which jumplike unraveling is used.
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View more >Non-Markovian evolution of an open quantum system can be "unraveled" into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schrodinger equation, as introduced by Diӳi, Gisin, and Strunz. Recently we have shown that such equations can be derived using the modal (hidden variable) interpretation of quantum mechanics. In this paper we generalize this theory to treat jumplike unravelings. To illustrate the jumplike behavior we consider a simple system: a classically driven (at Rabi frequency O) two-level atom coupled linearly to a three mode optical bath, with a central frequency equal to the frequency of the atom, ?0, and the two side bands have frequencies ?0'O. In the large O limit we observed that the jumplike behavior is similar to that observed in this system with a Markovian (broad band) bath. This is expected as in the Markovian limit the fluorescence spectrum for a strongly driven two level atom takes the form of a Mollow triplet. However, the length of time for which the Markovian-like behavior persists depends upon which jumplike unraveling is used.
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Journal Title
Physical Review A
Volume
69
Publisher URI
Copyright Statement
© 2004 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Mathematical sciences
Physical sciences
Chemical sciences