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Recent 3D organ reconstitution studies show that a group of stem cells can establish a body axis and acquire different fates in a spatially organized manner. How such symmetry breaking happens in the absence of external spatial cues, and…

Tissues and Organs · Quantitative Biology 2018-10-29 Keisuke Ishihara , Elly M. Tanaka

Beginning with Anderson (1972), spontaneous symmetry breaking (SSB) in infinite quantum systems is often put forward as an example of (asymptotic) emergence in physics, since in theory no finite system should display it. Even the…

Mathematical Physics · Physics 2013-08-05 N. P. Landsman

We present results from particle simulations with isotropic medium range interactions in two dimensions. At low temperature novel types of aggregated structures appear. We show that these structures can be explained by spontaneous symmetry…

Soft Condensed Matter · Physics 2011-08-22 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are symmetric with respect to interchange of particles. Starting…

Statistical Mechanics · Physics 2009-11-11 Stefan Grosskinsky , Gunter M. Schutz , Richard D. Willmann

We investigate the spontaneous breaking of subsystem symmetries directly in the context of continuum field theories by calculating the correlation function of charged operators. Our methods confirm the lack of spontaneous symmetry breaking…

High Energy Physics - Theory · Physics 2022-03-10 Jacques Distler , Andreas Karch , Amir Raz

The difficulty is analysed in evaluating fluctuations in phase transition of finite-size system at temperature far below the critical point. Film system is discussed with one-component order parameter $\phi^4$ model for phase transition.…

Condensed Matter · Physics 2007-05-23 C. B. Yang , X. Cai

Spontaneous symmetry breaking is studied in the ultralocal limit of a scalar quantum field theory, that is when $E\approx m$ (or infrared limit). In this limit we show that a $ \varphi^4$ theory in the euclidean space in four-dimensions…

High Energy Physics - Theory · Physics 2021-07-13 Jorge Gamboa , Justo Lopez-Sarrion

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 describe a simple mechanical system that involves Spontaneous Symmetry Breaking. The system consists of two beads constrained to slide along a hoop and attached each other through a spring. When the hoop rotates about a fixed axis, the…

Physics Education · Physics 2007-05-23 Fredy Ochoa , Jorge Clavijo

Spontaneous symmetry breaking can persist at all temperatures in certain biconical $\mathrm{O}(N)\times \mathbb{Z}_2$ vector models when the underlying field theories are ultraviolet complete. So far, the existence of such theories has been…

High Energy Physics - Theory · Physics 2025-01-29 Bilal Hawashin , Junchen Rong , Michael M. Scherer

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there…

Statistical Mechanics · Physics 2018-04-27 Richard D. Willmann , Gunter M. Schuetz , Stefan Grosskinsky

Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value…

Strongly Correlated Electrons · Physics 2024-12-23 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described by an ensemble of random states with an internal $U(1)$ symmetry. We build upon this…

Quantum Physics · Physics 2025-09-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We prove the existence of spontaneous symmetry breaking in suitably low-energy eigenstates of certain gapless and frustrated many-body quantum systems, namely symmetric quantum perturbations to classical models which exhibit spontaneous…

Mathematical Physics · Physics 2026-03-16 Chao Yin , Andrew Lucas

Spontaneous symmetry breaking is ubiquitous phenomenon in nature. One of the defining features of symmetry broken phases is that the large system size limit and the vanishing external field limit do not commute. In this work, we study a…

Statistical Mechanics · Physics 2023-05-24 Yaozong Hu , Haruki Watanabe

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

We have recently shown that there is a limit to quantum coherence in many-particle spin qubits due to spontaneous symmetry breaking. These results were derived for the Lieb-Mattis spin model. Here we will show that the underlying mechanism…

Strongly Correlated Electrons · Physics 2009-11-11 Jasper van Wezel , Jan Zaanen , Jeroen van den Brink

We show that exotic spontaneous symmetry breaking appears in thermal topological phases by perturbing the exact solutions of quantum rotor models coupled to the three-dimensional toric code. The exotic Ising and XY transitions are shown to…

Strongly Correlated Electrons · Physics 2021-11-19 Hanbit Oh , Eun-Gook Moon

Spontaneous symmetry-breaking in phase transitions occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium states observed in nature are not. Here, we prove that when a discrete symmetry is…

Quantum Physics · Physics 2024-12-13 Ángel L. Corps , Armando Relaño

In a physical system undergoing a continuous quantum phase transition, spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the ground state. In the traditional Landau theory, a symmetry…

Quantum Algebra · Mathematics 2019-03-05 Marcel Bischoff , Corey Jones , Yuan-Ming Lu , David Penneys