dorsal/arxiv
View SchemaComplete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems
| Authors | H. M. Wiseman, L. Diosi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012016 |
| URL | https://arxiv.org/abs/quant-ph/0012016 |
| DOI | 10.1016/S0301-0104(01)00296-8 |
Abstract
The state matrix $\rho$ for an open quantum system with Markovian evolution obeys a master equation. The master equation evolution can be unraveled into stochastic nonlinear trajectories for a pure state $P$, such that on average $P$ reproduces $\rho$. Here we give for the first time a complete parameterization of all diffusive unravelings (in which $P$ evolves continuously but non-differentiably in time). We give an explicit measurement theory interpretation for these quantum trajectories, in terms of monitoring the system's environment. We also introduce new classes of diffusive unravelings that are invariant under the linear operator transformations under which the master equation is invariant. We illustrate these invariant unravelings by numerical simulations. Finally, we discuss generalized gauge transformations as a method of connecting apparently disparate descriptions of the same trajectories by stochastic Schr\"odinger equations, and their invariance properties.
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"abstract": "The state matrix $\\rho$ for an open quantum system with Markovian evolution\nobeys a master equation. The master equation evolution can be unraveled into\nstochastic nonlinear trajectories for a pure state $P$, such that on average\n$P$ reproduces $\\rho$. Here we give for the first time a complete\nparameterization of all diffusive unravelings (in which $P$ evolves\ncontinuously but non-differentiably in time). We give an explicit measurement\ntheory interpretation for these quantum trajectories, in terms of monitoring\nthe system\u0027s environment. We also introduce new classes of diffusive\nunravelings that are invariant under the linear operator transformations under\nwhich the master equation is invariant. We illustrate these invariant\nunravelings by numerical simulations. Finally, we discuss generalized gauge\ntransformations as a method of connecting apparently disparate descriptions of\nthe same trajectories by stochastic Schr\\\"odinger equations, and their\ninvariance properties.",
"arxiv_id": "quant-ph/0012016",
"authors": [
"H. M. Wiseman",
"L. Diosi"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0301-0104(01)00296-8",
"title": "Complete parameterization, and invariance, of diffusive quantum trajectories for Markovian open systems",
"url": "https://arxiv.org/abs/quant-ph/0012016"
},
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