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Spontaneous pattern formation is a phenomenon ubiquitous in nature, examples ranging from Rayleigh-Benard convection to the emergence of complex organisms from a single cell. In physical systems, pattern formation is generally associated…

We consider the interaction of a ferromagnetic spinor Bose-Einstein condensate with a magnetic field gradient. The magnetic field gradient realizes a spin-position coupling that explicitly breaks time-reversal symmetry T and space parity P,…

In a previous paper, we proposed a unique physically implemented type simulator for combinatorial optimization problems, called the spontaneous symmetry breaking machine (SSBM). In this paper, we first report the results of experimental…

Optimization and Control · Mathematics 2026-04-16 Toshiya Sato , Takashi Goh

We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Aste , Michael D"utsch , G"unter Scharf

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

The Standard Model of particle physics and the $\Lambda$CDM model of cosmology provide an incomplete description of our Universe. Both models face challenges, including explaining the nature of dark matter, the origin of the Universe's…

High Energy Physics - Phenomenology · Physics 2025-12-24 Giacomo Ferrante

We present a detailed investigation of an overlooked symmetry structure in non-collinear antiferromagnets that gives rise to an emergent quantum number for magnons. Focusing on the triangular-lattice Heisenberg antiferromagnet, we show that…

Strongly Correlated Electrons · Physics 2025-05-07 Bastián Pradenas , Grigor Adamyan , Oleg Tchernyshyov

The Higgs mechanism of mass generation is the main ingredient in the contemporary Standard Model and its various generalizations. However, there is no comprehensive theory of spontaneous symmetry breaking. We summarize the relevant…

Mathematical Physics · Physics 2008-04-04 G. Sardanashvily

It is known that the spontaneous time translation symmetry breaking can occur in systems periodically driven at a certain period. We predict a spontaneous breaking of time translation symmetry in an atom-cavity system without external…

Quantum Physics · Physics 2024-05-08 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov , Yu. E. Lozovik

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. In this dissertation, we review the basic formulation…

High Energy Physics - Theory · Physics 2019-11-26 Ahmed Ayad

A symmetry violation model is considered for a system that can spontaneously choose between identical states which differ from each other only in weak properties (R-L). Such mirror symmetry allows reproduction of observed qualitative…

High Energy Physics - Phenomenology · Physics 2016-01-20 Igor T. Dyatlov

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 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

A theoretical consideration of the so-called "membrane-in-the-middle" optomechanical cavity revealed that it undergoes a spontaneous symmetry breaking as a function of the transparency of the membrane. Such typical features of this…

Optics · Physics 2020-07-01 A. K. Tagantsev

A new way of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. The only requirement is that Lorentz invariance be valid strictly infinitesimally (i. e.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Golubev

Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu-Goldstone modes using symmetry arguments only. We…

Nuclear Theory · Physics 2015-09-07 T. Papenbrock , H. A. Weidenmüller

This paper aims at reproducing quantum mechanical (QM) spin and spin entanglement results using a realist, stochastic, and local approach, without the standard QM mathematical formulation. The concrete model proposed includes the…

Quantum Physics · Physics 2020-10-29 Antonio Sciarretta

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

One possible ramification of unified theories of nature such as string theory that may underlie the conventional standard model is the possible spontaneous breakdown of Lorentz and CPT symmetry. In this talk, the formalism for inclusion of…

High Energy Physics - Phenomenology · Physics 2011-04-15 Don Colladay

We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core cigar-shaped potential. The setting is modeled by a system of linearly-coupled one-dimensional Gross-Pitaevskii equations with the cubic self-repulsive…

Pattern Formation and Solitons · Physics 2019-05-15 Bin Liu , Hua-Feng Zhang , Rong-Xuan Zhong , Xi-Liang Zhang , Xi-Zhou Qin , Chunqing Huang , Yong-Yao Li , Boris A. Malomed