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The concepts of symmetry and its breakdown are investigated in two different terms according to whether the resulting asymmetry is universal or only obtained for a special configuration: we shall illustrate this by considering in the first…

General Physics · Physics 2022-03-23 Luca Fabbri

In order to analyze the effect of chaos or order on the rate of decoherence in a subsystem we aim to distinguish effects of the two types of dynamics from those depending on the choice of the wave packet. To isolate the former we introduce…

Chaotic Dynamics · Physics 2007-05-23 T. Gorin , T. H. Seligman

The entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far it has only been used to characterise the breaking of continuous Abelian…

Statistical Mechanics · Physics 2024-02-08 Florent Ferro , Filiberto Ares , Pasquale Calabrese

Symmetry is one of the most general and useful concepts in physics. A theory or a system that has a symmetry is fundamentally constrained by it. The same constraints do not apply when the symmetry is broken. The quantitative determination…

Quantum Physics · Physics 2019-01-23 Ivan Fernandez-Corbaton

An ensemble with random n-body interactions is investigated in the presence of symmetries. A striking emergence of regularities in spectra, ground state spins and isospins is discovered in both odd and even-particle systems. Various types…

Nuclear Theory · Physics 2008-11-26 Alexander Volya

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

Symmetry is a powerful tool for understanding phases of matter in equilibrium. Quantum circuits with measurements have recently emerged as a platform for novel states of matter intrinsically out of equilibrium. Can symmetry be used as an…

Quantum Physics · Physics 2025-06-18 Zhi Li , Zhu-Xi Luo

A quantum measuring instrument is constructed that utilises symmetry breaking to enhance a microscopic signal. The entire quantum system consists of a system-apparatus-environment triad that is composed of a small set of spin-1/2 particles.…

Quantum Physics · Physics 2018-08-07 H. C. Donker , H. De Raedt , M. I. Katsnelson

Finite group symmetry is commonplace in Physics, in particular through crystallographic groups occurring in condensed matter physics -- but also through the inversions (C,P,T and their combinations) occurring in high energy physics and…

Mathematical Physics · Physics 2008-03-26 G. Gaeta

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

Symmetries and their anomalies are powerful tools for understanding quantum systems. However, realistic systems are often subject to disorders, dissipation and decoherence. In many circumstances, symmetries are not exact but only on…

Strongly Correlated Electrons · Physics 2023-12-15 Po-Shen Hsin , Zhu-Xi Luo , Hao-Yu Sun

Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens of local order parameters. Recently, a new entanglement-based probe of symmetry breaking has been introduced under…

Quantum Physics · Physics 2025-12-17 Luca Capizzi , Vittorio Vitale

Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasi-triangular Hopf algebras). In this letter we introduce the concept of a spontaneously broken Hopf symmetry and show that it…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Bais , B. J. Schroers , J. K. Slingerland

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

Spectroscopic measurements with low-temperature scanning tunneling microscopes have been used very successfully for studying not only individual atomic or molecular spins on surfaces but also complexly designed coupled systems. The symmetry…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 Markus Ternes

First, the properties of a classical model of spontaneous symmetry breakdown are analyzed. Then, the pros and cons of some pedagogical non-relativistic quantum-mechanical models, also used to illustrate spontaneous symmetry breakdown, are…

Mathematical Physics · Physics 2011-11-07 R. Munoz , A. Garcia-Quiroz , Ernesto Lopez-Chavez , Encarnacion Salinas-Hernandez

Ensembles of random fuzzy non-commutative geometries may be described in terms of finite (\(N^2\)-dimensional) Dirac operators and a probability measure. Dirac operators of type \((p,q)\) are defined in terms of commutators and…

Mathematical Physics · Physics 2026-05-07 Mauro D'Arcangelo , Sven Gnutzmann

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena, and in particular in the understanding of observed regular patterns in nuclear spectra and selection rules for electromagnetic…

Nuclear Theory · Physics 2023-02-10 J. M. Yao

We report on experimental studies of the distribution of the off-diagonal elements of the scattering matrix of open microwave networks with symplectic symmetry and a chaotic wave dynamics. These consist of two geometrically identical…

Quantum Physics · Physics 2026-01-21 Jiongning Che , Nils Gluth , Simon Köhnes , Thomas Guhr , Barbara Dietz