Role of intertwined Hamiltonian in two dimensional classical optics

Dehdashti, Shahram; Li, Rujiang; Xu, Longya; Raoofi, Mohammadreza; Chen, Hongsheng

doi:10.1088/1054-660x/25/7/075201

Cited by 5 publications

(5 citation statements)

References 36 publications

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“…In a way, we are dealing with the optical analogues of quantum phenomena, which have been realized, for example, in waveguide arrays, optimization of quantum cascade lasers, among others. In particular, the optical analogues of SUSY QM is an emergent field which could supply a lot of interesting physical information [162][163][164][165][166][167][168][169].…”

Section: Recent Applications Of Susy Qmmentioning

confidence: 99%

“…Recently, the SUSY methods started to be used also in the study of Dirac electrons in graphene and some of its allotropes, when external electric or magnetic fields are applied [151][152][153][154][155][156][157][158][159][160][161]. It is worth to mention as well some systems in optics, since there is a well-known correspondence between Schrödinger equation and Maxwell equations in the paraxial approximation, which makes that the SUSY methods can be applied directly in some areas of optics [162][163][164][165][166][167][168][169].…”

Section: Introductionmentioning

confidence: 99%

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Trends in Supersymmetric Quantum Mechanics

David²

2019

Integrability, Supersymmetry and Coherent States

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Along the years, supersymmetric quantum mechanics (SUSY QM) has been used for studying solvable quantum potentials. It is the simplest method to build Hamiltonians with prescribed spectra in the spectral design. The key is to pair two Hamiltonians through a finite order differential operator. Some related subjects can be simply analyzed, as the algebras ruling both Hamiltonians and the associated coherent states. The technique has been applied also to periodic potentials, where the spectra consist of allowed and forbidden energy bands. In addition, a link with nonlinear second-order differential equations, and the possibility of generating some solutions, can be explored. Recent applications concern the study of Dirac electrons in graphene placed either in electric or magnetic fields, and the analysis of optical systems whose relevant equations are the same as those of SUSY QM. These issues will be reviewed briefly in this paper, trying to identify the most important subjects explored currently in the literature. KeywordsSupersymmetric quantum mechanics • Coherent states • Painlevé equations • Painlevé transcendents • Polynomial Heisenberg algebras • Factorization method • Exact solutions • Spectral design • Graphene Dedicated to my dear friend and colleague Véronique Hussin. D. J. Fernández C ( )

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Section: Recent Applications Of Susy Qmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Trends in Supersymmetric Quantum Mechanics

David²

2019

Integrability, Supersymmetry and Coherent States

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“…• Role of intertwined Hamiltonian in 2D classical optics-the non-relativistic 2D intertwined Hamiltonian formalism in classical optics is developed [16].…”

Section: Quantum Optics and Quantum Information Sciencementioning

confidence: 99%

Introducing theLaser PhysicsandLaser Physics Lettershighlights of 2015

McKenna¹

2016

Laser Phys. Lett.

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The International Year of Light 2015 was a landmark for the laser and optics community pointing the way to a bright future for humanity and the environment. It is with great satisfaction that Laser Physics and Laser Physics Letters have published many notable articles that have contributed to the development of light-based technologies and breakthroughs in photonics. In recognition of their high quality, we present a selection of some of the most popular articles published by Laser Physics and Laser Physics Letters throughout 2015, all of which are believed to have the potential to make a high impact on future research directions. Those chosen are recognised for their high-interest with readers and importance in the field, providing a snapshot of the broad subject coverage and international make-up of both journals.Starting this year, we will be recognising and announcing annual highlights of a previous year for both journals. We hope that you find these highlights useful and look forward to publishing more cutting-edge work in the year ahead.Summary of the highlights articles: Physics of lasers• • Experimental investigation of the light shift effect in an optical-magnetic double resonance system-an experimental scheme for studying the light shift effect in an optical magnetic double resonance system by using 4 He atoms is demonstrated [3]. • Enhanced random lasing from a colloidal CdSe quantum dot-Rh6G system-randomlaser action in a system where optical amplification is provided by colloidal CdSe quantum dots triggered by the emission from Rhodamine 6 G is reported [4].• Ultra-short pulse generation in the hybridly mode-locked erbium-doped all-fiber ring laser with a distributed polarizer-ultra-short pulse generation in a dispersion-managed erbium-doped all-fiber ring laser hybridly mode-locked with boron nitride-doped singlewalled carbon nanotubes, in co-action with a nonlinear polarization evolution in the ring cavity with a distributed polarizer, is reported for the first time [5].• Analysis of pump excited state absorption and its impact on laser efficiency-a model to quantify the effect of excited state absorption at the pump wavelength on laser efficiency, threshold and heating is developed [6]. Fibre optics and fibre lasers• 80 fs passively mode-locked Er-doped fiber laser-an Er-doped laser that has an all-fiber design, including the dispersion compensation and external compression stages, forming a robust and compact device, is reported [7].• Bound-state fiber laser mode-locked by a graphene-nanotube saturable absorbermultiple bound states in a linear-cavity fiber laser mode-locked by a mixture of graphene and single-walled carbon nanotubes is experimentally observed [8]. Jarlath McKenna Publisher, Laser Physics and Laser Physics Letters Introducing the Laser Physics and Laser Physics Letters highlights of 2015Laser Physics Letters

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“…• Generation of entangled squeezed states: their entanglement and quantum polarizationtwo theoretical schemes based on the atom-field interaction to generate the two-mode entangled squeezed states and four-mode entangled squeezed state are presented [15]. • Role of intertwined Hamiltonian in 2D classical optics-the non-relativistic 2D intertwined Hamiltonian formalism in classical optics is developed [16].…”

Section: Quantum Optics and Quantum Information Sciencementioning

confidence: 99%

Introducing theLaser PhysicsandLaser Physics Lettershighlights of 2015

McKenna¹

2016

Laser Phys.

View full text Add to dashboard Cite

Role of intertwined Hamiltonian in two dimensional classical optics

Cited by 5 publications

References 36 publications

Trends in Supersymmetric Quantum Mechanics

Trends in Supersymmetric Quantum Mechanics

Introducing theLaser PhysicsandLaser Physics Lettershighlights of 2015

Introducing theLaser PhysicsandLaser Physics Lettershighlights of 2015

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