Non-Markovian quantum trajectories, instruments and time-continuous measurements
The linear and nonlinear non-Markovian quantum state diffusion (NMQSD) equations are well-known tools for the description of certain non-Markovian open quantum systems. In this work, we systematically investigate whether the normalized linear NMQSD or the nonlinear NMQSD solutions can be generated b...
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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-02, Vol.45 (5), p.055305-18 |
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| container_title | Journal of physics. A, Mathematical and theoretical |
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| creator | Krönke, S Strunz, W T |
| description | The linear and nonlinear non-Markovian quantum state diffusion (NMQSD) equations are well-known tools for the description of certain non-Markovian open quantum systems. In this work, we systematically investigate whether the normalized linear NMQSD or the nonlinear NMQSD solutions can be generated by means of a time-continuous measurement. By considering any conceivable measurement scheme, we derive a necessary criterion for the measurement interpretation of both equations. Concrete examples show that the normalized linear NMQSD solutions are realizable only in the Markovian limit in general. The application of the presented criterion to the nonlinear NMQSD remains an open issue. Furthermore, this criterion is a necessary one not only in the context of the NMQSDs but also for a much broader class of stochastic Schrödinger equations. |
| doi_str_mv | 10.1088/1751-8113/45/5/055305 |
| format | Article |
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| subjects | Criteria Diffusion Exact sciences and technology Markov processes Mathematical analysis measurement interpretation non-Markovian open quantum systems non-Markovian quantum state diffusion Nonlinearity Physics Quantum theory quantum trajectories Schroedinger equation Stochasticity time-continuous measurement Trajectories |
| title | Non-Markovian quantum trajectories, instruments and time-continuous measurements |
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