Observing quantum trajectories: From Mott’s problem to quantum Zeno effect and back

Maurice de Gosson, Basil Hiley, Eliahu Cohen

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)
310 Downloads (Pure)

Abstract

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.
Original languageEnglish
Pages (from-to)190-211
Number of pages22
JournalAnnals of Physics
Volume374
Early online date11 Aug 2016
DOIs
Publication statusPublished - Nov 2016

Keywords

  • Quantum trajectories
  • Quantum potential
  • Zeno effect

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