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Topological photonics has emerged as a novel route to engineer the flow of light. Topologically-protected photonic edge modes, which are supported at the perimeters of topologically-nontrivial insulating bulk structures, have been of…

We propose a scheme to realize a topological insulator with optical-passive elements, and analyze the effects of Kerr-nonlinearities in its topological behavior. In the linear regime, our design gives rise to an optical spectrum with…

Quantum Physics · Physics 2022-06-01 T. Shi , H. J. Kimble , J. I. Cirac

Unidirectional and backscattering-free propagation of sound waves is of fundamental interest in physics, and highly sought-after in engineering. Current strategies utilize topologically protected chiral edge modes in bandgaps, or complex…

Soft Condensed Matter · Physics 2023-06-14 Wenting Cheng , Kai Qian , Nan Cheng , Nicholas Boechler , Xiaoming Mao , Kai Sun

We study the scattering resonances of one-dimensional deterministic aperiodic chains of electric dipoles using the vectorial Green's matrix method, which accounts for both short- and long-range electromagnetic interactions in open…

We propose a framework to realize helical edge states in phononic systems using two identical lattices with interlayer couplings between them. A methodology is presented to systematically transform a quantum mechanical lattice which…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Raj Kumar Pal , Marshall Schaeffer , Massimo Ruzzene

We examine the role of strong nonlinearity on the topologically-robust edge state in a one-dimensional system. We consider a chain inspired from the Su-Schrieffer-Heeger model, but with a finite-frequency edge state and the dynamics…

Pattern Formation and Solitons · Physics 2021-01-20 Rajesh Chaunsali , Haitao Xu , Jinkyu Yang , Panayotis G. Kevrekidis , Georgios Theocharis

Optical frequency comb devices have unlocked new capabilities in telecommunications, sensing, and metrology. Yet, precise in situ control of the comb spectral envelope remains extremely challenging. By introducing mode coupling with…

It is proposed that a lattice, with constituent masses and spring constants, may be considered as a model system for topological matter. For instance, a relative variation of the inter- and intra-unit cell spring constants can be used to…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Yun Zhou , Prabhakar Bandaru , Daniel Sievenpiper

It is shown, that diffusion of saturated gain (e.g. diffusion of population inversion in lasers) causes, and/or enhances a modulational instability of generated light field. In case of a subcritical system (e.g. a laser with saturable…

Pattern Formation and Solitons · Physics 2009-10-31 Kestutis Staliunas

In this internship report, I have considered the topological laser built by amplifying the edge of a 2D Harper-Hofstadter photonic lattice, with the reservoir of carriers being treated explicitly. The dynamical stability of the resulting…

Mesoscale and Nanoscale Physics · Physics 2019-12-10 Aurelian Loirette--Pelous

Topological properties of solid states have sparked considerable recent interest due to their importance in the physics of lattices with a non-trivial basis and their potential in the design of novel materials. Here we describe an…

Applied Physics · Physics 2020-02-19 Henning U. Voss , Douglas J. Ballon

We study continuations of topological edge states in the Su-Schrieffer-Heeger model with on-site cubic (Kerr) nonlinearity, which is a 1D nonlinear photonic topological insulator (TI). Based on the topology of the underlying spatial…

Pattern Formation and Solitons · Physics 2021-12-28 Y. -P. Ma , H. Susanto

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

We investigate topological lasers in combination of nonlinear, non-Hermitian and topological lattice systems based on a quench dynamics starting from one site. We consider explicitly the topological laser in the Su-Schrieffer-Heeger (SSH)…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Motohiko Ezawa

Su-Schrieffer-Heeger (SSH) chains are the simplest model systems that display topological edge states. We calculate high-harmonic spectra of SSH chains that are coupled to an external laser field of a frequency much smaller than the band…

Optics · Physics 2024-03-12 Hannah Jürß , Dieter Bauer

We present a general and useful method to predict the existence, frequency, and spatial properties of gap states in photonic (and other) structures with a gapped spectrum. This method is established using the scattering approach. It offers…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Eli Levy , Eric Akkermans

We show how the squeezing of light can lead to the formation of topological states. Such states are characterized by non-trivial Chern numbers, and exhibit protected edge modes which give rise to chiral elastic and inelastic photon…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Vittorio Peano , Martin Houde , Christian Brendel , Florian Marquardt , Aashish A. Clerk

We consider the emergence of edge states in a finite optical lattice and show that the boundaries of the lattice play a decisive role for their location in the corresponding energy spectrum. We introduce a simple parametrisation of the…

Quantum Physics · Physics 2024-04-12 A. Katsaris , I. A. Englezos , C. Weitenberg , F. K. Diakonos , P. Schmelcher

We show that periodic optical lattices imprinted in cubic nonlinear media with strong two-photon absorption and localized linear gain landscapes support stable dissipative defect modes in both focusing and defocusing media. Their shapes and…

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…