Supersymmetric transparent optical intersections

Longhi, Stefano

doi:10.1364/ol.40.000463

Cited by 53 publications

(46 citation statements)

References 32 publications

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“…In optics, reflectionless defects sustaining propagative bound states offer the possibility to realize transparent optical intersections in photonic circuits [40]. Transparent defect modes are generally synthesized by inverse scattering or supersymmetric methods [32,38], which require a careful control of hopping amplitudes over several lattice sites.…”

Section: Applicationsmentioning

confidence: 99%

Non-Hermitian tight-binding network engineering

Longhi

2016

Phys. Rev. A

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We suggest a simple method to engineer a tight-binding quantum network based on proper coupling to an auxiliary non-Hermitian cluster. In particular, it is shown that effective complex non-Hermitian hopping rates can be realized with only complex on-site energies in the network. Three applications of the Hamiltonian engineering method are presented: the synthesis of a nearly transparent defect in an Hermitian linear lattice; the realization of the Fano-Anderson model with complex coupling; and the synthesis of a PT -symmetric tight-binding lattice with a bound state in the continuum.

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Section: Applicationsmentioning

confidence: 99%

Non-Hermitian tight-binding network engineering

Longhi

2016

Phys. Rev. A

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“…In optics, SUSY can be introduced by exploiting the mathematical isomorphism between the Schrödinger and the optical wave equation [18]. In this setting, the optical refractive index profile plays the role of the potential ( ), which in the context of supersymmetry can be used for mode conversion [19,20], transformation optics [21], design of Bragg gratings [22], and Bloch-like waves in random-walk potentials [23], to mention a few [24][25][26]. However, the implications of SUSY isospectrality in active platforms, as well as its interplay with nonlinearity and non-Hermiticity has so far remained unexplored.…”

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confidence: 99%

Supersymmetric laser arrays

Hokmabadi

Nye

El‐Ganainy

et al. 2019

Science

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The theoretical framework of supersymmetry (SUSY) aims to relate bosons and fermions-two profoundly different species of particles-and their interactions. While this space-time symmetry is seen to provide an elegant solution to many unanswered questions in high-energy physics, its experimental verification has so far remained elusive. Here, we demonstrate that, notions from supersymmetry can be strategically utilized in optics in order to address one of the longstanding challenges in laser science. In this regard, a supersymmetric laser array is realized, capable of emitting exclusively in its fundamental transverse mode. Our results not only pave the way towards devising new schemes for scaling up radiance in integrated lasers, but also on a more fundamental level, they could shed light on the intriguing synergy between non-Hermiticity and supersymmetry.Symmetries play a fundamental role in physical sciences. Symmetry principles ensure energy and momentum conservation and dictate the allowable dynamical laws governing our world. The Lorentz invariance embodied in Maxwell's equations was crucial in developing the theory of relativity, while the exchange symmetry allows one to classify fundamental particles as either bosons or fermions. In high-energy physics, other overarching symmetries like that of chargeparity-time (CPT) and supersymmetry (SUSY) have also emerged as a means to unveil the laws of nature [1,2]. SUSY, first proposed within the context of particle physics as an extension of the Poincare space-time symmetry, makes an ambitious attempt to provide a unified description of all fundamental interactions. In general, SUSY relates bosonic and fermionic degrees of freedom in a cohesive fashion. This directly implies that each type of boson has a supersymmetric counterpart, a superpartner fermion, and vice versa [3]. Even though the full ramification of SUSY in high energy physics is still a matter of debate that awaits experimental validation, supersymmetric techniques have already found their way into low energy physics, condensed matter, statistical mechanic, nonlinear dynamics and soliton theory as well as in stochastic processes and BCS-type theories, to mention a few [4][5][6][7][8][9].

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“…In recent years, the field of photonics has shed light on a plethora of phenomena stemming from topological phases (See [15,16] and references therein), and photonic lattices have been established as a versatile experimental platform [17][18][19][20]. In a similar vein, SUSY notions have been introduced to photonics [8] to tackle the long-standing challenge of systematically shaping the modal content of highly multi-moded structures [21][22][23][24][25][26][27][28], controlling scattering characteristics [29][30][31], designing laser arrays [32,33], creating band gaps in extremely disordered potentials [34] and robust mid-gap states [35]. To elucidate how SUSY enables the manipulation of topological properties, we apply discrete SUSY transformations to photonic lattices embodying the simplest system with non-trivial topological properties, the Su-Schrieffer-Heeger (SSH) model [36].…”

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confidence: 99%

Topological state engineering via supersymmetric transformations

et al. 2020

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The quest to explore new techniques for the manipulation of topological states simultaneously promotes a deeper understanding of topological physics, and is essential in identifying new ways to harness their unique features. Here, we examine the potential of supersymmetric (SUSY) transformations to systematically address, alter and reconfigure the topological properties of a system. To this end, we theoretically and experimentally study the changes that topologically protected states in photonic lattices undergo as SUSY transformations are applied to their host system. In particular, we show how SUSY-induced phase transitions can selectively suspend and re-establish topological protection of specific states. Furthermore, we reveal how understanding the interplay between internal symmetries and the symmetry constraints of supersymmetric transformations provides a roadmap to directly access the desirable topological properties of a system. Our findings pave the way for establishing SUSY-inspired techniques as a powerful and versatile tool for topological state engineering.

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Supersymmetric transparent optical intersections

Cited by 53 publications

References 32 publications

Non-Hermitian tight-binding network engineering

Non-Hermitian tight-binding network engineering

Supersymmetric laser arrays

Topological state engineering via supersymmetric transformations

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