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Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

We study static nonlinear waves in networks described by a nonlinear Schrodinger equation with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions are obtained. Spontaneous symmetry breaking…

Pattern Formation and Solitons · Physics 2019-01-31 K. K. Sabirov , J. R. Yusupov , H. Susanto , D. U. Matrasulov

The interplay between spontaneous symmetry breaking in many-body systems, the wavelike nature of quantum particles and lattice effects produces an extraordinary behavior of the chiral current of bosonic particles in the presence of a…

Quantum Gases · Physics 2016-12-20 S. Greschner , M. Piraud , F. Heidrich-Meisner , I. P. McCulloch , U. Schollwöck , T. Vekua

Spiral waves in two-dimensional excitable media have been observed experimentally and studied extensively. It is now well-known that the symmetry properties of the medium of propagation drives many of the dynamics and bifurcations which are…

Dynamical Systems · Mathematics 2014-04-15 Laurent Charette , Victor G. LeBlanc

We study a system involving a single quantum degree of freedom per site of the lattice interacting with a few neighbors (up to second neighbors), with the interactions chosen as to produce frustration. At zero temperature, this system…

Statistical Mechanics · Physics 2021-09-29 Heitor Casasola , Carlos A. Hernaski , Pedro R. S. Gomes , Paula F. Bienzobaz

Numerical results based on an extended BPM algorithm indicate that, in Marcatili's lossless tapers and bends, through-flowing waves are drastically different from standing waves. The source of this surprising behavior is inherent in…

We present the theory of spontaneous symmetry breaking (SSB) of discrete time translations as recently realized in the space-time crystals of an atomic Bose-Einstein condensate. The non-equilibrium physics related to such a…

Quantum Gases · Physics 2021-11-10 J. N. Stehouwer , J. Smits , P. van der Straten , H. T. C. Stoof

We study, both theoretically and experimentally, the Bragg scattering of light in optically-induced photonic lattices and reveal the key physical mechanisms which govern nonlinear self-action of narrow beams under the combined effects of…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Dragomir Neshev , Wieslaw Krolikowski , Yuri S. Kivshar

The symmetries that govern the laws of nature can be spontaneously broken, enabling the occurrence of ordered states. Crystals arise from the breaking of translation symmetry, magnets from broken spin rotation symmetry and massive particles…

Quantum Physics · Physics 2010-04-29 Jasper van Wezel

Spontaneous symmetry breaking (SSB) is a key concept in physics that for decades has played a crucial role in the description of many physical phenomena in a large number of different areas, like particle physics, cosmology, and…

Statistical Mechanics · Physics 2021-08-25 J. Smits , H. T. C. Stoof , P. van der Straten

We propose the mechanism of spontaneous symmetry breaking of a bulk vector field as a way to generate the selection of bulk dimensions invisible to the standard model confined to the brane. By assigning a non-vanishing vacuum value to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. Bertolami , C. Carvalho

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks…

Quantum Physics · Physics 2025-05-21 T. T. Sergeev , E. S. Andrianov , A. A. Zyablovsky

We show that, after a transformation, the dynamics of linear perturbations (spin waves) around a singular Bloch point soliton is formally equivalent to a quantum system of an electron in a magnetic monopole field. The analytical solution to…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 R. G. Elías , V. L. Carvalho-Santos , A. S. Núñez , A. D. Verga

We investigate the nonlinear Schr\"odinger equation on a three-edge star graph, where each edge contains a linear localized inhomogeneity in the form of a Dirac delta linear potential. Such systems are of significant interest in studying…

Pattern Formation and Solitons · Physics 2025-09-03 Rahmi Rusin , Hadi Susanto

Spontaneous symmetry breaking is responsible for the rich phenomena in equilibrium physics. Driving a system out-of-equilibrium can significantly enrich the possibility of spontaneous symmetry breaking, which occurs not only in space, but…

Statistical Mechanics · Physics 2023-07-06 Mingxi Yue , Zi Cai

Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent…

High Energy Physics - Phenomenology · Physics 2017-09-13 Bradley L. Rachlin , Thomas W. Kephart

It is shown that by properly designing the spatial dependence of the nonlinearity it is possible to induce long-living Bloch oscillations of a localized wavepacket in a periodic potential. The results are supported both by analytical and…

Other Condensed Matter · Physics 2008-07-16 M. Salerno , V. V. Konotop , Yu. V. Bludov

All low-order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time-dependent. Such equations arise in numerous physical applications and have attracted…

Mathematical Physics · Physics 2025-10-20 Stephen C. Anco , Almudena P. Marquez , Tamara M. Garrido , Maria L. Gandarias

Symmetry, in particular gauge symmetry, is a fundamental principle in theoretical physics. It is intimately connected to the geometry of fibre bundles. A refinement to the gauge principle, known as ``spontaneous symmetry breaking'', leads…

High Energy Physics - Theory · Physics 2007-05-23 ST Tsou

We study the Bloch theorem which states absence of the spontaneous current in interacting electron systems. This theorem is shown to be still applicable to the system with the magnetic field induced by the electric current. Application to…

Condensed Matter · Physics 2009-10-28 Yoji Ohashi , Tsutomu Momoi
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