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The paper is devoted to the dynamics of dissipative gap solitons in the periodically corrugated optical waveguides whose spectrum of linear excitations contains a mode that can be referred to as a quasi-Bound State in the Continuum. These…

Optics · Physics 2021-12-08 D. Dolinina , A. Yulin

The aim of this paper is to provide a construction of stationary discrete solitons in an extended one-dimensional Discrete NLS model with non-nearest neighbour interactions. These models, models of the type with long-range interactions were…

Dynamical Systems · Mathematics 2026-03-20 Vassilis M. Rothos , Stavros Anastassiou , Katerina G. Hadjifotinou

We introduce a one-dimensional model of a cavity with the Kerr nonlinearity and saturated gain, designed so as to keep solitons in the state of shuttle motion. The solitons are always unstable in the cavity bounded by the usual potential…

Optics · Physics 2015-06-17 Or Maor , Nir Dror , Boris A. Malomed

We put forward a strategy to achieve synthetic nonlinearities where local and nonlocal contributions compete on similar footing, thus yielding intermediate tunable responses ranging from fully local to strongly nonlocal. The physical…

Optics · Physics 2015-05-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

Strongly Correlated Electrons · Physics 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

Topological transport is determined by global properties of physical media where it occurs and is characterized by quantized amounts of adiabatically transported quantities. Discovered for periodic potentials it was also explored in…

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

Optics · Physics 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

Photonic and bosonic systems subject to incoherent, wide-bandwidth driving cannot typically reach stable finite-density phases using only non-dissipative Hamiltonian nonlinearities; one instead needs nonlinear losses, or a finite pump…

Quantum Physics · Physics 2024-03-18 Andrew Pocklington , Aashish A. Clerk

Quantization of particle transport lies at the heart of topological physics. In Thouless pumps - dimensionally reduced versions of the integer quantum Hall effect - quantization is dictated by the integer winding of single-band Wannier…

Strongly Correlated Electrons · Physics 2025-08-28 Marius Jürgensen , Jacob Steiner , Gil Refael , Mikael C. Rechtsman

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

We propose a simple dissipative system with purely cubic defocusing nonlinearity and nonuniform linear gain that can support stable localized dissipative vortex solitons with high topological charges without the utilization of competing…

Optics · Physics 2024-05-24 Chunyan Li , Yaroslav V. Kartashov

Exceptional points (EPs) with their intriguing spectral topology have attracted considerable attention in a broad range of physical systems, with potential sensing applications driving much of the present research in this field. Here we…

Optics · Physics 2026-01-29 Jan Wingenbach , Stefan Schumacher , Xuekai Ma

We investigate the response of a polariton laser driven slightly off-resonantly using light fields differing from the routinely studied coherent pump sources. The response to driving light fields with thermal and displaced thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Marc Assmann , Manfred Bayer

A version of $\mathcal{N} = 1$ supersymmetric scalar electrodynamics is considered here, and it is shown that an electrically charged nontopological soliton exists in this model. In addition to the long-range electric field, the soliton…

High Energy Physics - Theory · Physics 2025-06-25 A. Yu. Loginov

It is by now well established that periodically driven quantum many-body systems can realize topological nonequilibrium phases without any equilibrium counterpart. Here we show that, even in the absence of time translation symmetry,…

Disordered Systems and Neural Networks · Physics 2022-06-22 Hongzheng Zhao , Mark S. Rudner , Roderich Moessner , Johannes Knolle

Bright and dark spatial solitons are observed in an optically pumped semiconductor resonator. The pumping allows to considerably reduce the light intensity necessary for the existence of the solitons and alleviates thermal load problems.…

Pattern Formation and Solitons · Physics 2009-11-07 V. B. Taranenko , C. O. Weiss , W. Stolz

In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Jacquelin Luneau , Clément Dutreix , Quentin Ficheux , Pierre Delplace , Benoît Douçot , Benjamin Huard , David Carpentier

We propose a two-dimensional (2D) version of Thouless pumping that can be realized by using ultracold atoms in optical lattices. To be specific, we consider a 2D square lattice tight-binding model with an obliquely introduced superlattice.…

Quantum Gases · Physics 2020-11-03 Fuyuki Matsuda , Masaki Tezuka , Norio Kawakami

We demonstrate that modulations of the stiffness properties of an elastic plate along a spatial dimension induce edge states spanning non-trivial gaps characterized by integer valued Chern numbers. We also show that topological pumping is…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Emanuele Riva , Matheus I. N. Rosa , Massimo Ruzzene

We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension $D$. We show how to attach a topological invariant to a $D$-dimensional family of such systems, provided all of them have an on-site $U(1)$…

Strongly Correlated Electrons · Physics 2020-03-24 Anton Kapustin , Lev Spodyneiko