Quantum optics as a tool for photonic lattice design

Rodríguez-Lara, B. M.; Soto‐Eguibar, Francisco; Christodoulides, Demetrios N.

doi:10.1088/0031-8949/90/6/068014

Cited by 23 publications

(18 citation statements)

References 141 publications

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“…3) serve as testbed for observing some intriguing phenomena that were first predicted theoretically in the context of condensed matter such as Bloch oscillations [75][76][77][78], dynamic localization [79,80], Anderson localization [81] and more recently topological insulators [82][83][84][85]. Additionally, the mathematical analogy between discrete arrays and quantum optics has been also recently investigated [86,87].…”

Section: Symmetries In Discrete Photonic Systemsmentioning

confidence: 99%

Symmetry in optics and photonics: a group theory approach

Rodríguez-Lara¹,

El‐Ganainy²,

Guerrero³

2018

Science Bulletin

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Group theory (GT) provides a rigorous framework for studying symmetries in various disciplines in physics ranging from quantum field theories and the standard model to fluid mechanics and chaos theory. To date, the application of such a powerful tool in optical physics remains limited. Over the past few years however, several quantum-inspired symmetry principles (such as parity-time invariance and supersymmetry) have been introduced in optics and photonics for the first time. Despite the intense activities in these new research directions, only few works utilized the power of group theory. Motivated by this status quo, here we present a brief overview of the application of GT in optics, deliberately choosing examples that illustrate the power of this tool in both continuous and discrete setups. We hope that this review will stimulate further research that exploits the full potential of GT for investigating various symmetry paradigms in optics, eventually leading to new photonic devices. arXiv:1803.00121v1 [physics.optics]

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Section: Symmetries In Discrete Photonic Systemsmentioning

confidence: 99%

Symmetry in optics and photonics: a group theory approach

Rodríguez-Lara¹,

El‐Ganainy²,

Guerrero³

2018

Science Bulletin

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“…The generalities of the optical simulation of quantum phenomena can be found in reviews on the topic [28][29][30][31]. We want to stress that while the theoretical quantum-optical model requires a semi-infinite array of coupled waveguides, it is possible to cut off the size of the array depending on the initial state to propagate.…”

Section: Optical Simulationmentioning

confidence: 99%

Intensity-dependent quantum Rabi model: spectrum, supersymmetric partner, and optical simulation

Rodríguez-Lara

2014

J. Opt. Soc. Am. B

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We study an intensity-dependent quantum Rabi model that can be written in terms of SU(1,1) group elements and is related to the Buck-Sukumar model for the Bargmann parameter k = 1/2.The spectrum seems to present avoiding crossings for all valid parameter sets and, thus, may be integrable. For a degenerate qubit, the model is soluble and we construct an unbroken supersymmetric parter for it. We discuss the classical simulation of the general model in photonic lattices and show that it presents quasi-periodic reconstruction for a given initial state and parameter set. * bmlara@inaoep.mx 1 arXiv:1401.7376v1 [quant-ph]

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“…Denote by z the propagation distance and by E n the modal field amplitude in the n th waveguide. In the nearest-neighbour approximation of coupled mode theory [24,45], the propagation is governed by…”

Section: Introductionmentioning

confidence: 99%

Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results

Bossé¹,

Vinet²

2017

SIGMA

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Abstract. The analytic specifications of photonic lattices with fractional revival (FR) and perfect state transfer (PST) are reviewed. The approach to their design which is based on orthogonal polynomials is highlighted. A compendium of analytic models with PST is offered. New results on their FR properties are included. The nearest-neighbour approximation is adopted in most of the review; one analytic example with next-to-nearest neighbour interactions is also presented.

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Quantum optics as a tool for photonic lattice design

Cited by 23 publications

References 141 publications

Symmetry in optics and photonics: a group theory approach

Symmetry in optics and photonics: a group theory approach

Intensity-dependent quantum Rabi model: spectrum, supersymmetric partner, and optical simulation

Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results

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