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In this work, we present evidence for the spontaneous breaking of a continuous symmetry in a nearest-neighbour interacting spin-1 chain tuned to a quantum critical point at $T=0$ between two XY quasi-long-range order phases differing by the…

Statistical Mechanics · Physics 2025-11-18 R. Flores-Calderón , M. Zündel

Existence, stability and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel 2D (two-dimensional) lattices, are investigated. The system with the on-site cubic self-focusing nonlinearity…

Pattern Formation and Solitons · Physics 2015-05-28 M. D. Petrovic , G. Gligoric , A. Maluckov , Lj. Hadzievski , B. A. Malomed

Lattice gauge theories are considered with a partial axial gauge fixing along one direction only. This leaves a residual gauge symmetry that is still local in three directions but now global in one. It is found that this $N^{d-1}$ fold…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We review the subject of spontaneous supersymmetry breaking. First we consider supersymmetry breaking in a semiclassical theory. We illustrate it with several examples, demonstrating different phenomena, including metastable supersymmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenneth Intriligator , Nathan Seiberg

A simple two-species asymmetric exclusion model in one dimension with bulk and boundary exchanges of particles is investigated for the existence of spontaneous symmetry breaking. The model is a generalization of the bridge model for which…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , David Mukamel , Gunter M. Schutz

We study spontaneous symmetry breaking in a system of two parallel quasi-one-dimensional traps, equipped with optical lattices (OLs) and filled with a Bose-Einstein condensate (BEC). The cores are linearly coupled by tunneling. Analysis of…

Pattern Formation and Solitons · Physics 2009-11-13 Arthur Gubeskys , Boris A. Malomed

We report spontaneous symmetry breaking (SSB) phenomena in symmetrically charged binary particle systems under planar nanoconfinement with negative dielectric constants.The SSB is triggered $solely$ via the dielectric confinement effect,…

Soft Condensed Matter · Physics 2024-08-06 Xuanzhao Gao , Zecheng Gan

We investigate the parity- and time-reversal ($\mathcal{PT}$)-symmetry breaking in lattice models in the presence of long-ranged, non-hermitian, $\mathcal{PT}$-symmetric potentials that remain finite or become divergent in the continuum…

Quantum Physics · Physics 2014-09-19 Yogesh N. Joglekar , Derek D. Scott , Avadh Saxena

We present a clear and mathematically simple procedure explaining spontaneous symmetry breaking in quantum mechanical systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a…

Classical Physics · Physics 2010-04-29 Jasper van Wezel , Jeroen van den Brink

Based on the study of a one-dimensional (1D) antiferromagnetic Heisenberg model on a comb lattice, this work identifies an example of spontaneous continuous symmetry breaking in a 1D system with short-range interactions. When a…

Strongly Correlated Electrons · Physics 2026-05-18 Jingya Wang , Zenan Liu , Bin-Bin Mao , Xu Tian , Zijian Xiong , Zhe Wang , Zheng Yan

Supersymmetry is a symmetry between a boson and a fermion. Although there is no apparent supersymmetry in nature, its mathematical consistency and appealing property have led many people to believe that supersymmetry may exist in nature in…

Strongly Correlated Electrons · Physics 2008-11-26 Sung-Sik Lee

We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schr\"{o}dinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of {\em…

Pattern Formation and Solitons · Physics 2007-05-23 D. E. Pelinovsky , P. G. Kevrekidis , D. J. Frantzeskakis

We address one-dimensional soliton formation in the cubic nonlinear medium with two-photon absorption and transversally inhomogeneous gain landscape consisting of a single or several amplifying channels. Existence of the solitons requires…

The paper combines two topics belonging to the general theme of the spontaneous symmetry breaking (SSB) in systems including two basic competing ingredients: the self-focusing cubic nonlinearity and a double-well-potential (DWP) structure.…

Pattern Formation and Solitons · Physics 2015-11-30 Boris A. Malomed

It is well known that a symmetric soliton in coupled nonlinear Schroedinger (NLS) equations with the cubic nonlinearity loses its stability with the increase of its energy, featuring a transition into an asymmetric soliton via a subcritical…

Pattern Formation and Solitons · Physics 2007-05-23 Lior Albuch , Boris A. Malomed

We discuss spontaneously broken quantum field theories with a continuous symmetry group via the constraint effective potential. Employing lattice simulations with constrained values of the order parameter, we demonstrate explicitly that the…

High Energy Physics - Lattice · Physics 2021-12-15 Gergely Endrődi , Tamás György Kovács , Gergely Markó

The global supersymmetry is spontaneously broken if and only if the ground-state energy is strictly positive. We propose to use this fact to observe the spontaneous supersymmetry breaking in euclidean lattice simulations. For lattice…

High Energy Physics - Lattice · Physics 2008-11-26 Issaku Kanamori , Fumihiko Sugino , Hiroshi Suzuki

Local symmetry breaking in complex materials is emerging as an important contributor to materials properties but is inherently difficult to study. Here we follow up an earlier structural observation of such a local symmetry broken phase in…

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

Creation and manipulation of non-classical states of light is rapidly becoming the focus of modern attosecond science. Here, we demonstrate numerically how interaction with such states can trigger the emergence of a many-body system with…

Quantum Physics · Physics 2026-05-15 Nikolai D. Klimkin , Misha Ivanov