The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantum continual measurements and a posteriori collapse on CCR
Open accessAbstract
A quantum stochastic model for the Markovian dynamics of an open system under the nondemolition unsharp observation which is continuous in time, is given. A stochastic equation for the posterior evolution of a quantum continuously observed system is derived and the spontaneous collapse (stochastically continuous reduction of the wave packet) is described. The quantum Langevin evolution equation is solved for the case of a quasi-free Hamiltonian in the initial CCR algebra with a linear output channel, and the posterior dynamics corresponding to an initial Gaussian state is found. It is shown for an example of the posterior dynamics of a quantum oscillator that any mixed state under a complete nondemolition measurement collapses exponentially to a pure Gaussian one.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 1×
“5), with Φg{X} = X , defines both the prior quantum Markovian dynamics [16] M : X 7→ FtXF ∗ t as M = Φ0 and an operator–valued generating functional Pg = F∞êgF ∗ ∞ = limt→∞ Φ t g{I} of factorial (normal ordered) moment operators 〈0| : Ẏ (x1) .”
Combining stochastic dynamical state-vector reduction with spontaneous localization
Pearle, P. (1989) · Physical Review A · doi:10.1103/physreva.39.2277 · Cited by 942
Cited by
Quantum control theory and applications: a survey
Dong, D., & Petersen, I. R. (2010) · IET Control Theory & Applications · doi:10.1049/iet-cta.2009.0508 · Cited by 601
Quantum feedback: Theory, experiments, and applications
Zhang, J., Liu, Y.-X., Wu, R.-B., Jacobs, K., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.02.003 · Cited by 272
Metadata
- Authors
- Belavkin, V. P.
- Venue
- Communications in Mathematical Physics
- Published
- 1992-06
- Volume
- 146
- Issue
- 3
- Pages
- 611-635
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1969938643
- Cited by
- 188
- References
- 2
- FWCI
- 1.61
- Type
- journal article
- Language
- en
- Open access
- green
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- Belavkin, V. P. (1992). Quantum continual measurements and a posteriori collapse on CCR. Communications in Mathematical Physics. https://doi.org/10.1007/bf02097018
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