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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

The notion induced symmetry breaking (ISB) is introduced as a generalization of the spontaneous symmetry breaking mechanism and is illustrated in a simple two flavor spin model. In the case of QCD at finite baryon density, I argue that the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kurt Langfeld

A cornerstone of the theory of phase transitions is the observation that many-body systems exhibiting a spontaneous symmetry breaking in the thermodynamic limit generally show extensive fluctuations of an order parameter in large but finite…

Quantum Physics · Physics 2017-04-05 H. Wilming , M. J. Kastoryano , A. H. Werner , J. Eisert

It is shown that having degenerate ground states over the domain of the wavefunction of a system is a sufficient condition for a quantum system to act as a measuring apparatus for the system. Measurements are then instances of spontaneous…

Quantum Physics · Physics 2010-08-17 Partha Ghose

The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potentials, respectively. We demonstrate that this setting leads to…

Pattern Formation and Solitons · Physics 2018-10-18 Dmitry A. Zezyulin , Mikhail E. Lebedev , Georgy L. Alfimov , Boris A. Malomed

We introduce the set of constraints the wave function of the Universe has to satisfy in order to describe an Universe undergoing through the process of spontaneous breaking of supersymmetry and discuss the way this may lead to the emergence…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. Bertolami , P. V. Moniz

The spontaneous symmetry breaking in the quantum sine-Gordon model is studied by a density matrix renormalization group. A phase diagram in the coupling constant - system size plane is obtained.

Statistical Mechanics · Physics 2007-05-23 S. G. Chung

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and…

Quantum Physics · Physics 2024-10-25 Alberto Rolandi

There are strong reasons to believe that global symmetries of quantum theories cannot be exact in the presence of gravity. While this has been argued at the qualitative level, establishing a quantitative statement is more challenging. In…

High Energy Physics - Theory · Physics 2020-01-29 Sylvain Fichet , Prashant Saraswat

A brief introduction to the topic of spontaneous symmetry breaking (SSB) in conservative and dissipative nonlinear systems with an underlying double-well-potential structure is given. The reason is a discussion of a recent observation of…

Optics · Physics 2015-04-30 Boris A. Malomed

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

It is known that in thermal systems of finite size that are subject to second order phase transitions and until the spontaneous symmetry breaking is completed, the fluctuations of the order parameter obey to the dynamics of critical…

Statistical Mechanics · Physics 2023-05-09 Y. Contoyiannis , P. Papadopoulos , L. Matiadou , S. G. Stavrinides , M. Hanias , S. M. Potirakis

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

Due to the fact that only matter fields have phase, frequently is believed that the gauge principle can induce gauge fields only in quantum systems. But this is not necessary. This paper, of pedagogical scope, presents a classical system…

High Energy Physics - Theory · Physics 2007-05-23 Luis Alberto Sanchez , Jorge Mahecha

This paper discusses the phenomenon of spontaneous symmetry breaking in the Schr\"odinger representation formulation of quantum field theory. The analysis is presented for three-dimensional space-time abelian gauge theories with either…

High Energy Physics - Theory · Physics 2009-10-28 G. Dunne

Through defining irreducible loop integrals (ILIs), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILIs are obtained to maintain the generalized Ward identities of gauge invariance in…

High Energy Physics - Theory · Physics 2009-11-07 Yue-Liang Wu

Entanglement asymmetry is a measure that quantifies the degree of symmetry breaking at the level of a subsystem. In this work, we investigate the entanglement asymmetry in $\widehat{su}(N)_k$ Wess-Zumino-Witten model and discuss the quantum…

High Energy Physics - Theory · Physics 2026-04-03 Harunobu Fujimura , Soichiro Shimamori

We introduce a model governing the copropagation of two components which represent circular polarizations of light in the optical fiber with relative strength g = 2 of the nonlinear repulsion between the components, and linear coupling…

Pattern Formation and Solitons · Physics 2025-07-23 Hidetsugu Sakaguchi , Boris A. Malomed

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

Statistical Mechanics · Physics 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

We describe one of the remarkable problems of theoretical physics persevering up to the beginning of the millennium. All gaugetheories with spontaneous gauge symmetry breaking from the standard model of particle physics with the electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Pisano , N. O. Reis