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We explore 1+1 dimensional (1+1D) gapped phases in systems with non-invertible symmetries, focusing on symmetry-protected topological (SPT) phases (defined as gapped phases with non-degenerate ground states), as well as SPT orders (defined…

Strongly Correlated Electrons · Physics 2025-04-01 Ömer M. Aksoy , Xiao-Gang Wen

Mixed states can exhibit two distinct kinds of symmetries, either on the level of the individual states (strong symmetry), or only on the level of the ensemble (weak symmetry). Strong symmetries can be spontaneously broken down to weak…

Statistical Mechanics · Physics 2025-09-12 Niklas Ziereis , Sanjay Moudgalya , Michael Knap

We investigate approximate emergent nonabelian symmetry in a class of weakly first order `deconfined' phase transitions using Monte Carlo simulations and a renormalization group analysis. We study a transition in a 3D classical loop model…

Strongly Correlated Electrons · Physics 2019-05-15 Pablo Serna , Adam Nahum

Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations without inverses, leading to the concept of non-invertible…

Strongly Correlated Electrons · Physics 2026-05-28 Xie Chen , Shang Liu , Da-chuan Lu , Nathanan Tantivasadakarn

Gravitational properties of a hedge-hog type topological defect in two extra dimensions are considered in General Relativity employing a vector as the order parameter. The developed macroscopic theory of phase transitions with spontaneous…

General Relativity and Quantum Cosmology · Physics 2010-01-15 Boris E. Meierovich

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 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

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

In contrast to ordinary symmetries, supersymmetry interchanges bosons and fermions. Originally proposed as a symmetry of our universe, it still awaits experimental verification. Here we theoretically show that supersymmetry emerges…

Strongly Correlated Electrons · Physics 2014-05-05 Tarun Grover , D. N. Sheng , Ashvin Vishwanath

We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential…

Strongly Correlated Electrons · Physics 2025-03-19 Heidar Moradi , Ömer M. Aksoy , Jens H. Bardarson , Apoorv Tiwari

Spontaneous symmetry breaking (SSB) for Bose-Einstein condensates cannot treat phase off-diagonal effects, and thus not explain Bell inequality violations. We describe another situation that is beyond a SSB treatment: an experiment where…

Quantum Physics · Physics 2010-04-22 W. J. Mullin , F. Laloë

We use the microscopic Hartree-Fock approximation to investigate various quantum phase transitions associated with possible spontaneous symmetry breaking induced by a tilted magnetic field in the integral quantum Hall regime of wide…

Strongly Correlated Electrons · Physics 2009-11-10 D. -W. Wang , E. Demler , S. Das Sarma

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

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

Subsystem symmetry has emerged as a powerful organizing principle for unconventional quantum phases of matter, most prominently fracton topological orders. Here, we focus on a special subclass of such symmetries, known as higher-form…

Strongly Correlated Electrons · Physics 2024-03-15 Brandon C. Rayhaun , Dominic J. Williamson

Spontaneous time-reversal symmetry breaking in superconductors with competing non-degenerate pairing channels is an exotic quantum phase transition that could give rise to robust topological superconductivity and unusual magnetism. It is…

Superconductivity · Physics 2026-04-03 Yin Shi

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

Disordered Systems and Neural Networks · Physics 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

Global symmetries greatly enrich the landscape of topological quantum phases, playing an essential role from topological insulators to fractional quantum Hall effect. Topological phases in mixed quantum states, originating from…

Strongly Correlated Electrons · Physics 2025-05-26 Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

Higher-form symmetries act on sub-dimensional spatial manifolds of a quantum system. They can emerge as an exact symmetry at low energies even when they are explicitly broken at the microscopic level, making them difficult to characterize.…

Quantum Physics · Physics 2025-11-25 Yu-Jie Liu , Wen-Tao Xu , Frank Pollmann , Michael Knap

Depending on the coupling to the environment, symmetries of open quantum systems manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry breaking among phases with strong symmetry, weak symmetry, and no…

Quantum Physics · Physics 2026-05-27 Ding Gu , Zijian Wang , Zhong Wang