dorsal/arxiv
View SchemaThe non-Markovian stochastic Schr\"odinger equation for the position unraveling
| Authors | Jay Gambetta, H. M. Wiseman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305047 |
| URL | https://arxiv.org/abs/quant-ph/0305047 |
| DOI | 10.1088/1464-4266/6/8/031 |
| Journal | Journal of Optics B: Quantum and Semiclassical Optics 6, S821 (2004) |
Abstract
An important and well established area of quantum optics is the theory of Markovian stochastic Schr\"odinger equations (or by another name quantum trajectory theory). Recently stochastic Schr\"odinger equations have been developed for non-Markovian systems. In this paper we extend the current known stochastic Schr\"odinger equations for non-Markovian systems to include the position unraveling. We also discuss and illustrate that this stochastic Schr\"odinger equation can have an interpretation under both the orthodox and the de Broglie-Bohm hidden variable interpretation of quantum mechanics. We conclude that only the de Broglie-Bohm hidden variable theory provides a continuous-in-time interpretation of the non-Markovian stochastic Schr\"odinger equation.
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"abstract": "An important and well established area of quantum optics is the theory of\nMarkovian stochastic Schr\\\"odinger equations (or by another name quantum\ntrajectory theory). Recently stochastic Schr\\\"odinger equations have been\ndeveloped for non-Markovian systems. In this paper we extend the current known\nstochastic Schr\\\"odinger equations for non-Markovian systems to include the\nposition unraveling. We also discuss and illustrate that this stochastic\nSchr\\\"odinger equation can have an interpretation under both the orthodox and\nthe de Broglie-Bohm hidden variable interpretation of quantum mechanics. We\nconclude that only the de Broglie-Bohm hidden variable theory provides a\ncontinuous-in-time interpretation of the non-Markovian stochastic Schr\\\"odinger\nequation.",
"arxiv_id": "quant-ph/0305047",
"authors": [
"Jay Gambetta",
"H. M. Wiseman"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/6/8/031",
"journal_ref": "Journal of Optics B: Quantum and Semiclassical Optics 6, S821\n (2004)",
"title": "The non-Markovian stochastic Schr\\\"odinger equation for the position unraveling",
"url": "https://arxiv.org/abs/quant-ph/0305047"
},
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