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We study the inhibition of pattern formation in nonlinear optical systems using intracavity photonic crystals. We consider mean field models for single and doubly degenerate optical parametric oscillators. Analytical expressions for the new…

Pattern Formation and Solitons · Physics 2009-11-11 Damia Gomila , Gian-Luca Oppo

We explore special features of quantum light-matter interactions inside structured waveguides due to their finite bandwidth, band edges, and non-trivial topological properties. We model the waveguides as either a tight-binding (TB) chain or…

Optics · Physics 2023-12-07 Rupak Bag , Dibyendu Roy

The robust generation and manipulation of high-dimensional quantum states lies at the heart of modern quantum computation. The use of topology to resiliently encode and transport quantum information has been widely investigated in condensed…

Quantum Physics · Physics 2025-09-18 M. Javad Zakeri , Armando Perez-Leija , Andrea Blanco-Redondo

We introduce a system with one or two amplified nonlinear sites ("hot spots", HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescently coupled optical or plasmonic waveguides, with gain…

Pattern Formation and Solitons · Physics 2015-06-19 Edwin Ding , A. Y. S. Tang , K. W. Chow , Boris A. Malomed

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

We predict the existence of interaction-driven edge states of bound two-photon quasiparticles in a dimer periodic array of nonlinear optical cavities. Energy spectrum of photon pairs is dramatically richer than in the noninteracting case or…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Maxim A. Gorlach , Alexander N. Poddubny

Motivated by the experiment [St-Jean {\it et al}., Nature Photon. {\bf 11}, 651 (2017)] on topological phases with collective photon modes in a zigzag chain of polariton micropillars, we study spinless $p$-orbital fermions with local…

Quantum Gases · Physics 2020-12-16 Gaoyong Sun , Wen-Long You , Tao Zhou

Periodic driving is a powerful tool to generate exotic topological phases without static counterparts, such as the anomalous chiral edge modes from bulk bands with zero Chern number and topological $\pi$ modes exhibiting period-doubled…

Optics · Physics 2025-04-22 Gang Jiang , Siyuan Zhang , Weiwei Zhu , Y. X. Zhao , Haoran Xue

In this work we study a one-dimensional lattice of Lipkin-Meshkov-Glick models with alternating couplings between nearest-neighbors sites, which resembles the Su-Schrieffer-Heeger model. Typical properties of the underlying models are…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 A. V. Sorokin , M. Aparicio Alcalde , V. M. Bastidas , G. Engelhardt , D. G. Angelakis , T. Brandes

We theoretically investigate topological features of a one-dimensional Su-Schrieffer-Heeger lattice with modulating non-Hermitian on-site potentials containing four sublattices per unit cell. The lattice can be either commensurate or…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Milad Jangjan , Linhu Li , Luis E. F. Foa Torres , Mir Vahid Hosseini

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

Observing few-photon optomechanical effects remains a significant challenge in optomechanical systems. To investigate intrinsic radiation-pressure-induced nonlinear effects in the few-photon regime, it is essential to strengthen the…

Quantum Physics · Physics 2026-03-10 Cheng Shang , H. Z. Shen

Motivated by recent experimental realizations of topological edge states in Su-Schrieffer-Heeger (SSH) chains, we theoretically study a ladder system whose legs are comprised of two such chains. We show that the ladder hosts a rich phase…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Karmela Padavić , Suraj S Hegde , Wade DeGottardi , Smitha Vishveshwara

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

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

Topology and nonlinearity are deeply connected. However, whether topological effects can arise solely from the structure of nonlinear interaction terms, and the nature of the resulting topological phases, remain to large extent open…

Quantum Physics · Physics 2026-04-10 Alessandro Coppo , Alexandre Le Boité , Simone Felicetti , Valentina Brosco

The Su-Schrieffer-Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer $trans$-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The…

Quantum Gases · Physics 2017-05-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

Exploring topological phases in interacting systems is a challenging task. We investigate many-body topological physics of interacting fermions in an extended Su-Schrieffer-Heeger (SSH) model, which extends the two sublattices of SSH model…

Quantum Gases · Physics 2023-02-16 Xiaofan Zhou , Jian-Song Pan , Suotang Jia

Generation of topological phases of matter with SU(3) symmetry in a condensed matter setup is challenging due to the lack of an intrinsic three-fold chirality of quasiparticles. We uncover two salient ingredients required to express a…

Mesoscale and Nanoscale Physics · Physics 2017-04-25 Sayonee Ray , Ananya Ghatak , Tanmoy Das

Signatures of nodal line/point superconductivity have been observed in half-Heusler compounds, such as LnPtBi (Ln = Y, Lu). Topologically non-trivial band structures, as well as topological surface states, has also been confirmed by…

Superconductivity · Physics 2018-06-13 Qing-Ze Wang , Jiabin Yu , Chao-Xing Liu
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