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Spontaneous symmetry breaking (SSB) and exceptional points (EPs) are often assumed to be inherently linked. Here we investigate the intricate relationship between SSB and specific classes of EPs across three distinct, real-world scenarios…

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

High Energy Physics - Theory · Physics 2015-03-13 Tomas Brauner

We consider a two-dimensional (2D) nonlinear Schrodinger equation with self-focusing nonlinearity and a quasi-1D double-channel potential, i.e., a straightforward 2D extension of the well-known double-well potential. The model may be…

Pattern Formation and Solitons · Physics 2009-11-13 M. Matuszewski , B. A. Malomed , M. Trippenbach

We introduce two- and one-dimensional (2D and 1D) systems of two linearly-coupled Gross-Pitaevskii equations (GPEs) with the cubic self-attraction and harmonic-oscillator (HO) trapping potential in each GPE. The system models a…

Quantum Gases · Physics 2017-10-03 Zhaopin Chen , Yongyao Li , Boris A. Malomed , Luca Salasnich

We consider phase transitions, in the form of spontaneous symmetry breaking (SSB) bifurcations of solitons, in dual-core couplers with fractional diffraction and cubic self-focusing acting in each core, characterized by Levy index $\alpha$.…

Pattern Formation and Solitons · Physics 2023-06-21 Dmitry V. Strunin , Boris A. Malomed

The foundations of the mass generation mechanism of particles are reviewed. The Spontaneous Symmetry Breaking (SSB) process within the standard model (SM) and the minimal supersymmetric standard model (MSSM) is used to explore the present…

High Energy Physics - Phenomenology · Physics 2009-07-07 Nils M. Bezares-Roder , Hemwati Nandan

In this introductory lecture, some basic features of the spontaneous symmetry breaking are discussed. More specifically, $\sigma $-model, non-linear realization, and some examples of spontaneous symmetry breaking in the non-relativistic…

High Energy Physics - Phenomenology · Physics 2010-12-13 Ling-Fong Li

Modern nucleon-nucleon (NN) potentials, which accurately fit the nucleon-nucleon scattering phase shifts, contain terms which break isospin symmetry. The effects of these symmetry violating terms on the bulk properties of nuclear matter are…

Nuclear Theory · Physics 2009-10-31 H. Muether , A. Polls , R. Machleidt

Systems with long-range interactions, such as self-gravitating clusters and magnetically confined plasmas, do not relax to the usual Boltzmann-Gibbs thermodynamic equilibrium, but become trapped in quasi-stationary states (QSS) the life…

Statistical Mechanics · Physics 2015-06-17 Renato Pakter , Bruno Marcos , Yan Levin

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

In the last years we have proposed the use of the mechanism of spontaneous symmetry breaking with the purpose of generating perfect quadrature squeezing. Here we review previous work dealing with spatial (translational and rotational)…

It is known that stable 2D solitons of the semi-vortex (SV) and mixed-mode (MM) types are maintained by the interplay of the cubic attractive nonlinearity and spin-orbit coupling (SOC) in binary Bose-Einstein condensates. We introduce a…

Quantum Gases · Physics 2022-12-14 Zhaopin Chen , Yongyao Li , Yan Liu , Boris A. Malomed

We introduce a dual-core system with double symmetry, one between the cores, and one along each core, imposed by the spatial modulation of local nonlinearity in the form of two tightly localized spots, which may be approximated by a pair of…

Pattern Formation and Solitons · Physics 2018-05-15 Krzysztof B. Zegadlo , Nguyen Viet Hung , Aleksandr Ramaniuk , Marek Trippenbach , Boris A. Malomed

We study effects of nonlocality of the cubic self-focusing nonlinearity on the stability and symmetry-breaking bifurcation (SBB) of solitons in the model of a planar dual-core optical waveg- uide with nonlocal (thermal) nonlinearity. In…

Pattern Formation and Solitons · Physics 2012-05-31 Xianling Shi , Boris A. Malomed , Fangwei Ye , Xianfeng Chen

We introduce discrete systems in the form of straight (infinite) and ring-shaped chains, with two symmetrically placed nonlinear sites. The systems can be implemented in nonlinear optics (as waveguiding arrays) and BEC (by means of an…

Pattern Formation and Solitons · Physics 2013-07-17 Valeriy A. Brazhnyi , Boris A. Malomed

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, and weak symmetry, which applies only to the entire ensemble.…

Quantum Physics · Physics 2025-03-11 Leonardo A. Lessa , Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

In dissipative quantum systems, strong symmetries can lead to the existence of conservation laws and multiple steady states. In this work we investigate a strong symmetry for bosonic atoms coupled to an optical cavity, an experimentally…

Quantum Gases · Physics 2022-02-15 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value…

Strongly Correlated Electrons · Physics 2024-12-23 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

We extend previous studies on transport through ballistic chaotic cavities with spatial left-right (LR) reflection symmetry to include the presence of direct processes. We first analyze fully LR-symmetric systems in the presence of direct…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Martinez , P. A. Mello

We report the first experimental demonstration of the replica symmetry breaking (RSB) phenomenon in a fiber laser system supporting standard mode-locking (SML) regime. Though theoretically predicted, this photonic glassy phase remained…