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We discuss new insights into the quantum physics of solitons developed since 1997: why quantum corrections to the mass M and the central charge Z of solitons in supersymmetric (susy) field theories in 1+1 and 2+1 dimensions are…

High Energy Physics - Theory · Physics 2007-05-23 A. Rebhan , P. van Nieuwenhuizen , R. Wimmer

Mean-field dynamics of strongly interacting bosons described by hard core bosons with nearest-neighbor attraction has been shown to support two species of solitons: one of Gross-Pitaevskii (GP-type) where the condensate fraction remains…

We study the dynamics of solitons under the action of one-dimensional quasiperiodic lattice potentials, fractional diffraction, and nonlinearity. The formation and stability of the solitons is investigated in the framework of the fractional…

Pattern Formation and Solitons · Physics 2025-04-11 Eduard Pavlyshynets , Luca Salasnich , Boris A. Malomed , Alexander Yakimenko

In this paper the Casimir energy density, loop corrections, and generation of topological mass are investigated for a system consisting of two interacting real and complex scalar fields. The interaction considered is the quartic interaction…

High Energy Physics - Theory · Physics 2023-07-05 A. J. D. Farias Junior , Herondy F. Santana Mota

Being ubiquitous, solitons have particle-like properties, exhibiting behaviour often associated with atoms. Bound solitons emulate dynamics of molecules, though solitonic analogues of polymeric materials have not been considered yet. Here…

Pattern Formation and Solitons · Physics 2023-08-16 Hanqing Zhao , Boris A. Malomed , Ivan I. Smalyukh

The dynamics of magnetic bubble solitons in a two-dimensional isotropic antiferromagnetic spin lattice is studied, in the case where the exchange integral J(x,y) is position dependent. In the near continuum regime, this system is described…

Other Condensed Matter · Physics 2014-11-12 J. M. Speight

We present a method to obtain soliton solutions to relativistic system of coupled scalar fields. This is done by examining the energy associated to static field configurations. In this case we derive a set of first-order differential…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , M. J. dos Santos , R. F. Ribeiro

Pursuing topological phases in natural and artificial materials is one of the central topics in modern physical science and engineering. In classical magnetic systems, spin waves (or magnons) and magnetic solitons (such as domain wall,…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Z. -X. Li , Yunshan Cao , Peng Yan

We provide a theoretical description for the coupling between the intersubband excitations of a bi-dimensional electron gas with the electromagnetic field. This description, based on the electrical dipole gauge, applies to an arbitrary…

Quantum Gases · Physics 2012-12-21 Yanko Todorov , Carlo Sirtori

Solitonic excitations of the one-dimensional quantum droplets are obtained, which smoothly connect vacuum with the flat-top droplet, akin to compactons in classical liquids. These solitons are of the kink type, necessarily residing on a…

Quantum Gases · Physics 2021-09-22 Aradhya Shukla , Neeraj , Prasanta K. Panigrahi

Optical solitons classically are stationary solutions of the nonlinear Schr\"odinger equation. We perform a quantum field theoretic treatment by quantising a linearised fluctuation field around the classical soliton solution which can be…

Optics · Physics 2025-03-07 Sang-Shin Baak , Friedrich Koenig

We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations…

High Energy Physics - Theory · Physics 2008-11-26 Ruben Cordero , Roberto D. Mota

We consider two-dimensional spin-orbit coupled atomic Bose-Einstein condensate in a radially-periodic potential. The system supports different types of stable self-sustained states including radially-symmetric vorticity-carrying modes with…

Quantum Gases · Physics 2019-03-28 Yaroslav V. Kartashov , Dmitry A. Zezyulin

Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with a finite number of modes and random phases uniformly…

Pattern Formation and Solitons · Physics 2024-09-09 Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

In this paper, we consider some second-order effective Hamiltonians describing the interaction of the quantum electromagnetic field with atoms or molecules in the nonrelativistic limit. Our procedure is valid only for off-energy-shell…

Quantum Physics · Physics 2021-12-13 Roberto Passante , Lucia Rizzuto

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , J. R. S. Nascimento , R. F. Ribeiro , D. Toledo

Magnon-phonon hybrid excitations are studied theoretically in a two-dimensional antiferromagnet with an easy axis normal to the plane. We show that two magnon bands and one phonon band are intertwined by the magnetoelastic coupling through…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 Shu Zhang , Gyungchoon Go , Kyung-Jin Lee , Se Kwon Kim

Quantum and classical integrable systems share common mathematical structures, and the phenomena appearing in them are interrelated. Solitons, which universally appear in classical integrable systems, also appear in quantum integrable…

Quantum Gases · Physics 2022-03-03 Yuki Ishiguro , Jun Sato , Katsuhiro Nishinari

We investigate quantum effects on magnon excitations in a minimal spin-1/2 Heisenberg model for 2D altermagnets on the square lattice. A continuous similarity transformation is applied in momentum space to derive an effective Hamiltonian…

Strongly Correlated Electrons · Physics 2025-11-06 Raymond Wiedmann , Dag-Björn Hering , Vanessa Sulaiman , Matthias R. Walther , Kai P. Schmidt , Götz S. Uhrig

We study experimentally the interaction of a soliton with a nonlinear lattice. We observe the formation of a novel type of composite soliton created by strong coupling of mutually incoherent periodic and localized beam components. By…

Pattern Formation and Solitons · Physics 2009-11-10 Dragomir Neshev , Yuri S. Kivshar , Hector Martin , Zhigang Chen
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