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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

Spontaneous symmetry breaking (SSB) is responsible for structure formation in scenarios ranging from condensed matter to cosmology. SSB is broadly understood in terms of perturbations to the Hamiltonian governing the dynamics or to the…

Quantum Physics · Physics 2019-09-02 Luis Pedro García-Pintos , Diego Tielas , Adolfo del Campo

Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes,…

High Energy Physics - Theory · Physics 2019-12-16 Aron J. Beekman , Louk Rademaker , Jasper van Wezel

Spontaneous symmetry breaking (SSB) is a widespread phenomenon in several areas of physics. In this paper I wish to illustrate some situations where spontaneous symmetry breaking presents non obvious aspects. The first example is taken from…

Statistical Mechanics · Physics 2011-02-24 Giovanni Jona-Lasinio

Spontaneous symmetry breaking (SSB) in quantum systems, such as ferromagnets, is normally described as (or as arising from) degeneracy of the ground state; however, it is well established that this degeneracy only occurs in spatially…

Quantum Physics · Physics 2018-08-30 David Wallace

Dynamical Symmetry Breaking (DSB) is a concept theorists rely on very often in the discussions of strong dynamics, model building, and hierarchy problems. In this talk, I will discuss why this is such a permeating concept among theorists…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Murayama

The physical world is marked by the phenomenon of spontaneous broken symmetry (SBS) i.e. where the state of a system is assymmetric with respect to the symmetry principles that govern its dynamics. For material systems this is not…

High Energy Physics - Theory · Physics 2007-05-23 Robert Brout

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

We report on the first experimental observation of spontaneous mirror symmetry breaking (SSB) in coherently driven-dissipative coupled optical cavities. SSB is observed as the breaking of the spatial or mirror Z2 symmetry between two…

We focus on an interesting dissipative system found in a photonics system. In this dissipative system, we theoretically identified that robust causality is generated and as a result, it becomes possible to produce behavior that can be…

Adaptation and Self-Organizing Systems · Physics 2025-12-16 Toshiya Sato

The concept of Spontaneous Symmetry Breaking (SSB) represents a real breakthrough for present description of fundamental interactions by means of gauge theories. Although the underlying ideas were ancient, their formalization required a…

History and Philosophy of Physics · Physics 2022-03-02 Ignazio A. Sardella

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

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

Spontaneous symmetry breaking (SSB) is key for our understanding of phase transitions and the spontaneous emergence of order. Photonics provide versatile systems to study SSB. In this work, we report that for a two-dimensional (2D) periodic…

Spontaneous symmetry breaking (SSB) plays a central role in understanding a large variety of phenomena associated with phase transitions, such as superfluid and superconductivity. So far, the transition from a symmetric vacuum to a…

Quantum Physics · Physics 2024-07-01 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

Spontaneous symmetry breaking (SSB) is crucial to the occurrence of phase transitions. Once a phase transition occurs, a quantum system presents degenerate eigenstates that lack the symmetry of the Hamiltonian. After crossing the critical…

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

Symmetry breaking has been a central theme in classifying quantum phases and phase transitions. Recently, this concept has been extended to the mixed states of open systems, attracting considerable attention due to the emergence of novel…

Strongly Correlated Electrons · Physics 2025-10-21 Yuxuan Guo , Sheng Yang , Xue-Jia Yu

Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a critical value. In this study, we examine SSB in a periodic…

Optics · Physics 2024-10-21 Ruihan Peng , Qidong Fu , Yejia Chen , Weidong Luo , Changming Huang , Fangwei Ye

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

Disordered Systems and Neural Networks · Physics 2026-04-10 Oleg Evnin
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