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Using classical Monte Carlo simulations, we study a simple statistical mechanical model of relevance to the emergence of polarisation from local displacements on the square and cubic lattices. Our model contains two key ingredients: a…

Spontaneously symmetry-broken (SSB) phases are locally ordered states of matter characterizing a large variety of physical systems. Because of their specific ordering, their presence is usually witnessed by means of local order parameters.…

Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations without inverses, leading to the concept of non-invertible…

Strongly Correlated Electrons · Physics 2026-05-28 Xie Chen , Shang Liu , Da-chuan Lu , Nathanan Tantivasadakarn

This paper is devoted to the study of the dynamics of two weakly-coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. Energy diffusion due to random forcing allows the system to visit…

Other Condensed Matter · Physics 2009-11-10 J. Garnier , F. Kh. Abdullaev

Unbroken continuous translational invariance is often taken as a basic assumption in discussions of spontaneous symmetry breaking (SSB), which singles out SSB of translational invariance itself as an exceptional case. We present a framework…

Statistical Mechanics · Physics 2012-04-09 Haruki Watanabe , Tomáš Brauner

The concept of spontaneous symmetry breaking (SSB) generally lacks a simple and intuitive introduction in the literature. This gap is filled by defining SSB in a universal context beyond its usual applications in physics and by discussing…

Mathematical Physics · Physics 2020-10-26 Andreas Aste

The properties of an F=1 spinor Bose-Einstein condensate trapped in a double-well potential are discussed using both a mean-field two-mode approach and a simplified two-site Bose-Hubbard Hamiltonian. We focus in the region of phase space in…

Multi-particle non-equilibrium dynamics in two-channel asymmetric exclusion processes with narrow entrances is investigated theoretically. Particles move on two parallel lattices in opposite directions without changing them, while the…

Statistical Mechanics · Physics 2015-06-25 Ekaterina Pronina , Anatoly B. Kolomeisky

Spontaneous symmetry breaking is a fundamental notion in modern physics, ranging from high energy to condensed matter. However, the usual spontaneous symmetry breaking only considers the equal probability to select the vacua. In this work,…

High Energy Physics - Theory · Physics 2024-05-28 Tian-Chi Ma , Han-Qing Shi , Hai-Qing Zhang

The paper addresses the bistability caused by spontaneous symmetry breaking bifurcation in a one-dimensional periodically corrugated nonlinear waveguide pumped by coherent light at normal incidence. The formation and the stability of the…

Optics · Physics 2021-05-12 D. Dolinina , A. Yulin

We propose a novel framework to analyze symmetry breaking in dynamical systems through the lens of entropy and information transfer. Information transfer quantifies the directional exchange of entropy between observables, allowing us to…

Dynamical Systems · Mathematics 2025-11-12 Subhrajit Sinha , Parvathi Kooloth

In this work we investigate the spontaneous symmetry breaking (SSB) induced by a classical background spacetime's curvature, via the 2 particle irreducible (2PI) non-perturbative effective action formalism. We use the standard…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Vishal Nath , Kinsuk Roy , Sourav Bhattacharya

Panic-induced herding in individuals often leads to social disasters, resulting in people being trapped and trampled in crowd stampedes triggered by panic. We introduce a novel approach that offers fresh insights into studying the…

Physics and Society · Physics 2025-06-03 C. S. Kim , Claudio Dib , Sechul Oh

Spontaneous symmetry breaking (SSB) is essential and plays a vital role many natural phenomena, including the formation of Turing pattern in organisms and complex patterns in brain dynamics. In this work, we investigate whether a set of…

Adaptation and Self-Organizing Systems · Physics 2018-12-05 K. Ponrasu , K. Sathiyadevi , V. K. Chandrasekar , M. Lakshmanan

We investigate the symmetry properties of hierarchies of non-linear Schroedinger equations (introduced by Doebner and Goldin, and Goldin and Svetlichny), which describe non-interacting systems in which tensor product wave-functions evolve…

Quantum Physics · Physics 2007-05-23 George Svetlichny

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

Statistical Mechanics · Physics 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

We study modes trapped in a rotating ring with the local strength of the nonlinearity modulated as cos(2\theta), where \theta is the azimuthal angle. This modulation pattern may be of three different types: self-focusing (SF),…

Pattern Formation and Solitons · Physics 2012-09-17 Yongyao Li , Wei Pang , Boris A. Malomed

Spontaneous symmetry breaking (SSB) is the cornerstone of our understanding of quantum phases of matter. Recent works have generalized this concept to the domain of mixed states in open quantum systems, where symmetries can be realized in…

Quantum Physics · Physics 2025-12-30 Xiaozhou Feng , Zihan Cheng , Matteo Ippoliti

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational…

High Energy Physics - Theory · Physics 2009-11-10 G. D. Barbosa

We discuss spontaneous symmetry breakdown (SSB) of both global and local scale symmetries in scalar-tensor gravity with two scalar fields, one of which couples nonminimally to scalar curvature while the other is a normal scalar field. In…

High Energy Physics - Theory · Physics 2020-03-19 Ichiro Oda