Probing quantum effects with classical stochastic analogs

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Rémi Goerlich
  • Giovanni Manfredi
  • Paul-Antoine Hervieux
  • Laurent Mertz
  • Cyriaque Genet

Detail(s)

Original languageEnglish
Article number033203
Journal / PublicationPhysical Review Research
Volume3
Issue number3
Online published1 Sept 2021
Publication statusPublished - Sept 2021
Externally publishedYes

Abstract

We propose a method to construct a classical analog of an open quantum system, namely, a single quantum particle confined in a potential well and immersed in a thermal bath. The classical analog is made out of a collection of identical wells where classical particles of mass m are trapped. The distribution n(x,t) of the classical positions is used to reconstruct the quantum Bohm potential VBohm = -²2m Δ√nn, which in turn acts on the shape of the potential wells. As a result, the classical particles experience an effective "quantum" force. This protocol is tested with numerical simulations using single- and double-well potentials, evidencing typical quantum effects such as long-lasting correlations and quantum tunneling. For harmonic confinement, the analogy is implemented experimentally using micron-sized dielectric beads optically trapped by a laser beam.

Citation Format(s)

Probing quantum effects with classical stochastic analogs. / Goerlich, Rémi; Manfredi, Giovanni; Hervieux, Paul-Antoine et al.
In: Physical Review Research, Vol. 3, No. 3, 033203, 09.2021.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review