Quantumlike systems in classical optics: applications of quantum optical methods

Chávez-Cerda, Sabino; Moya-Cessa, J. R.; Moya‐Cessa, H.

doi:10.1364/josab.24.000404

Cited by 26 publications

(24 citation statements)

References 16 publications

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“…The longitudinal coordinate z along the fiber axis is similar to time in the standard Schrödinger equation [36][37][38][39]. This type of analogy between quantum mechanics and wave optics has been also pointed out in many other works [46][47][48]. Here n 0 (z) is the refractive index along the beam axis and λ w is the wavelength of the electromagnetic wave.…”

Section: Two-dimensional Optical-schrödinger Equationmentioning

confidence: 89%

Effect of geometry on the classical entanglement in a chaotic optical fiber

et al. 2015

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The effect of boundary deformation on the classical entanglement which appears in the classical electromagnetic field is considered. A chaotic billiard geometry is used to explore the influence of the mechanical modification of the optical fiber cross-sectional geometry on the production of classical entanglement within the electromagnetic fields. For the experimental realization of our idea, we propose an optical fiber with a cross section that belongs to the family of Robnik chaotic billiards. Our results show that a modification of the fiber geometry from a regular to a chaotic regime can enhance the transverse mode classical entanglement.

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Section: Two-dimensional Optical-schrödinger Equationmentioning

confidence: 89%

Effect of geometry on the classical entanglement in a chaotic optical fiber

et al. 2015

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“…We consider the paraxial propagation of a field, that has the equation form (see for instance [7] 2ik…”

Section: B Modelling Field-field Interactionmentioning

confidence: 99%

Optical realization of a quantum beam splitter

Mar-Sarao

Moya‐Cessa

2008

Opt. Lett.

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“…For quantum mechanical systems one can exploit the well-known similarity between the matter wave nature of particles and classical wave optics, which is based on the fact that the paraxial wave equation for monochromatic light propagating along the paraxial direction z of an optical waveguide is of the same form as the Schrödinger equation. This similarity has been exploited in many examples in the past [4][5][6], however mostly for single particle dynamics.…”

Section: Introductionmentioning

confidence: 99%

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

García-March

Harshman

Silva

et al. 2019

Quantum

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We show that a system of three trapped ultracold and strongly interacting atoms in onedimension 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 manyparticle 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.

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Quantumlike systems in classical optics: applications of quantum optical methods

Cited by 26 publications

References 16 publications

Effect of geometry on the classical entanglement in a chaotic optical fiber

Effect of geometry on the classical entanglement in a chaotic optical fiber

Optical realization of a quantum beam splitter

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

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