Probing quantum effects with classical stochastic analogs

Rémi Goerlich

doi:10.1103/PhysRevResearch.3.033203

Probing quantum effects with classical stochastic analogs

2021-09-01

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Paul-Antoine Hervieux

DOI：10.1103/PhysRevResearch.3.033203

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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 V-Bohm = -h(2)/2m Delta root n//root n 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.

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Probing quantum effects with classical stochastic analogs

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