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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

Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect a decaying flavor-oscillating system whose evolution is…

Quantum Physics · Physics 2020-08-26 Kyrylo Simonov

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

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

The spontaneous breaking of a global discrete translational symmetry in the finite, lattice quantum sine-Gordon model is demonstrated by a density matrix renormalization group. A phase diagram in the coupling constant - inverse system size…

Statistical Mechanics · Physics 2009-10-31 S. G. Chung

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

We propose a new spontaneous supersymmetry breaking mechanism, in which extra compact dimensions play an important role. To illustrate our mechanism, we study a simple model consisting of two chiral superfields, where one spatial dimension…

High Energy Physics - Theory · Physics 2009-10-31 M. Sakamoto , M. Tachibana , K. Takenaga

In recent years, essential progress has been made in the nonlinear stability analysis of periodic Lugiato-Lefever waves against co-periodic and localized perturbations. Inspired by considerations from fiber optics, we introduce a novel…

Analysis of PDEs · Mathematics 2025-04-30 Joannis Alexopoulos

We study the ground-state density profile of a spin-orbit coupled $f=2$ spinor condensate in a quasi-one-dimensional trap. The Hamiltonian of the system is invariant under time reversal but not under parity. We identify different parity-…

Quantum Gases · Physics 2015-02-18 Sandeep Gautam , S. K. Adhikari

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

We construct a quantum system of spherical spins with a continuous local symmetry. The model is exactly soluble in the thermodynamic limit and exhibits a number of interesting properties. We show that the local symmetry is spontaneously…

High Energy Physics - Theory · Physics 2015-02-18 Pedro R. S. Gomes , P. F. Bienzobaz

Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion to $(-1)$-form U(1) symmetries. The spontaneous breaking is diagnosed by a dependence of the vacuum energy on a constant background field $\theta$, which…

High Energy Physics - Theory · Physics 2024-08-02 Daniel Aloni , Eduardo García-Valdecasas , Matthew Reece , Motoo Suzuki

The spontaneous symmetry breaking taking place in the direction perpendicular to the energy flux in a dilute vibrofluidized granular system is investigated, using both a hydrodynamic description and simulation methods. The latter include…

Statistical Mechanics · Physics 2009-11-07 J. Javier Brey , M. J. Ruiz-Montero , F. Moreno , R. Garcia-Rojo

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

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

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

Quantum Physics · Physics 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun

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

In this brief, the spontaneous symmetry breaking (SSB) of the $\varphi^4$ theory in phase space, is studied. This phase space results from the appropriate system of Poincare maps, produced in both the Minkowski and the Euclidean time. The…

Statistical Mechanics · Physics 2021-04-27 Y. Contoyiannis , S. G. Stavrinides , M. Kampitakis , M. P. Hanias , S. M. Potirakis , P. Papadopoulos

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By studying the intrinsic dynamics of each member of the population and their mutual interactions we observe the emergence of either spatio-temporal…

Condensed Matter · Physics 2009-10-28 A. Diaz-Guilera , Alex Arenas , A. Corral , C. J. Perez

Spatially extended systems, such as channel or pipe flows, are often equivariant under continuous symmetry transformations, with each state of the flow having an infinite number of equivalent solutions obtained from it by a translation or a…

Chaotic Dynamics · Physics 2015-03-05 Nazmi Burak Budanur , Predrag Cvitanović , Ruslan L. Davidchack , Evangelos Siminos
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