TY - JOUR
T1 - Probing quantum effects with classical stochastic analogs
AU - Goerlich, Rémi
AU - Manfredi, Giovanni
AU - Hervieux, Paul-Antoine
AU - Mertz, Laurent
AU - Genet, Cyriaque
PY - 2021/9
Y1 - 2021/9
N2 - 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 = -ℏ²⁄2m Δ√n⁄√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.
AB - 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 = -ℏ²⁄2m Δ√n⁄√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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U2 - 10.1103/PhysRevResearch.3.033203
DO - 10.1103/PhysRevResearch.3.033203
M3 - RGC 21 - Publication in refereed journal
VL - 3
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 3
M1 - 033203
ER -