Stochastic Dynamics of Continuously Observed Quantum Systems

作者: P. Staszewski

DOI: 10.1007/978-1-4899-1391-3_12

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摘要: The irreversible and stochastic behaviour of the continuously (in time) observed quantum system expressed by reduction wave function cannot be described within standard formulation mechanics. state a under continuous nondemolition observation evolves according to weakly-nonlinear filtering equation announced Belavkin in 1988. This differential Ito type can obtained from unitary evolution compound — “system plus measuring device” conditioning with respect trajectories. has been applied some significant physical problems. These include: resolution Zeno paradox for free particle, watchdog effects particle various cases diffusion measurement relaxation without mixing an atom counting observation.

参考文章(59)
Crispin W. Gardiner, Handbook of Stochastic Methods Springer Series in Synergetics. ,(1983) , 10.1007/978-3-662-02377-8
Barry Simon, Michael Reed, Methods of Modern Mathematical Physics ,(1972)
S. P. Gudder, Review: A. S. Holevo, Probabilistic and statistical aspects of quantum theory Bulletin of the American Mathematical Society. ,vol. 13, pp. 80- 85 ,(1985) , 10.1090/S0273-0979-1985-15378-9
Vittorio Gorini, Alberto Frigerio, Maurizio Verri, Andrzej Kossakowski, ECG Sudarshan, None, Properties of Quantum Markovian Master Equations Reports on Mathematical Physics. ,vol. 13, pp. 149- 173 ,(1978) , 10.1016/0034-4877(78)90050-2
V. P. Belavkin, Quantum continual measurements and a posteriori collapse on CCR Communications in Mathematical Physics. ,vol. 146, pp. 611- 635 ,(1992) , 10.1007/BF02097018
K Kraus, General state changes in quantum theory Annals of Physics. ,vol. 64, pp. 311- 335 ,(1971) , 10.1016/0003-4916(71)90108-4
V. P. Belavkin, A stochastic posterior Schrödinger equation for counting nondemolition measurement Letters in Mathematical Physics. ,vol. 20, pp. 85- 89 ,(1990) , 10.1007/BF00398273