Graded-index optical fiber emulator of an interacting three-atom system: illumination control of particle statistics and classical non-separability

[EN] We show that a system of three trapped ultracold and strongly interacting atoms in one-dimension can be emulated using an optical fiber with a graded-index profile and thin metallic slabs. While the wave-nature of single quantum particles leads to direct and well known analogies with classical...

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Bibliographic Details
Authors: Garcia March, Miguel Angel|||0000-0001-7092-838X, Harshman, N.L., da Silva, H., Fogarty, T., Busch, Th., Lewenstein, M., FERRANDO, A.
Format: article
Publication Date:2019
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/159986
Online Access:https://riunet.upv.es/handle/10251/159986
Access Level:Open access
Keyword:Graded index optical fiber
Quantum simulators
Few atom systems
Ultracold atoms
Photonic crystal fibers
MATEMATICA APLICADA
Description
Summary:[EN] We show that a system of three trapped ultracold and strongly interacting atoms in one-dimension can be emulated using an optical fiber with a graded-index profile and thin metallic slabs. While the wave-nature of single quantum particles leads to direct and well known analogies with classical optics, for interacting many-particle systems with unrestricted statistics such analoga are not straightforward. Here we study the symmetries present in the fiber eigenstates by using discrete group theory and show that, by spatially modulating the incident field, one can select the atomic statistics, i.e., emulate a system of three bosons, fermions or two bosons or fermions plus an additional distinguishable particle. We also show that the optical system is able to produce classical non-separability resembling that found in the analogous atomic system.