Observing Quantum Trajectories: From Mott's Problem to Quantum Zeno Effect and Back
| Autor: | de Gosson, Maurice, Hiley, Basil, Cohen, Eliahu |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Ann. Phys. 374, 190-211 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.aop.2016.08.003 |
| Popis: | The experimental results of Kocsis et al., Mahler et al. and the proposed experiments of Morley et al. show that it is possible to construct "trajectories" in interference regions in a two-slit interferometer. These results call for a theoretical re-appraisal of the notion of a "quantum trajectory" first introduced by Dirac and in the present paper we re-examine this notion from the Bohm perspective based on Hamiltonian flows. In particular, we examine the short-time propagator and the role that the quantum potential plays in determining the form of these trajectories. These trajectories differ from those produced in a typical particle tracker and the key to this difference lies in the active suppression of the quantum potential necessary to produce Mott-type trajectories. We show, using a rigorous mathematical argument, how the active suppression of this potential arises. Finally we discuss in detail how this suppression also accounts for the quantum Zeno effect. Comment: 35 pages |
| Databáze: | arXiv |
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