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We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.

Probability · Mathematics 2013-08-20 Markus Heydenreich , Franz Merkl , Silke W. W. Rolles

We present a theoretical study of the interaction between an atom characterized by a degenerate ground state and a reciprocal environment, such as a semiconductor nanoparticle, without the presence of external bias. Our analysis reveals…

Quantum Physics · Physics 2024-03-22 Mário G. Silveirinha , Hugo Terças , Mauro Antezza

Consequences of explicit symmetry breaking in a physically motivated model of SU(N) antiferromagnet in spatial dimensions one and two are studied. It is shown that the case N=3, which can be realized in spin-1 cold atom systems, displays…

Strongly Correlated Electrons · Physics 2014-11-18 Alexei Kolezhuk

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

The non-relativistic hydrogen atom enjoys an accidental $SO(4)$ symmetry, that enlarges the rotational $SO(3)$ symmetry, by extending the angular momentum algebra with the Runge-Lenz vector. In the relativistic hydrogen atom the accidental…

Quantum Physics · Physics 2015-04-17 M. H. Al-Hashimi , A. M. Shalaby , U. -J. Wiese

The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1,2). The noncompact symmetry is shown to be spontaneously broken -- something which would be…

High Energy Physics - Theory · Physics 2007-05-23 Max Niedermaier , Erhard Seiler

We show that exotic phases arise in generalized lattice gauge theories known as quantum link models in which classical gauge fields are replaced by quantum operators. While these quantum models with discrete variables have a…

High Energy Physics - Lattice · Physics 2013-11-14 D. Banerjee , P. Widmer , F. -J. Jiang , U. -J. Wiese

Spontaneous symmetry breaking and more recently entanglement are two cornerstones of quantum matter. We introduce the notion of anisotropic entanglement ordered phases, where the spatial profile of spin-pseudospin entanglement spontaneously…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Nilotpal Chakraborty , Roderich Moessner , Benoit Doucot

We report results of the analysis of the spontaneous symmetry breaking (SSB) in the basic (actually, simplest) model which is capable to produce the SSB phenomenology in the one-dimensional setting. It is based on the Gross-Pitaevskii -…

Optics · Physics 2016-08-24 Elad Shamriz , Nir Dror , Boris A. Malomed

In this paper, it is pointed out for the first time that the linear effective potential between quarks is intrinsically relating to the bag model while concerning the asymptotically-free nature of colours. Based on the relationship we…

General Physics · Physics 2019-08-13 Hai-Jhun Wang , Hong Wang

We consider heterostructures consisting of regions with a continuous symmetry in contact with regions wherein the symmetry is spontaneously broken. The low-frequency dynamics of the corresponding order parameter are shown to induce…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Arne Brataas

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. All previous considerations were done using the order parameter in the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Boris E. Meierovich

Entanglement asymmetry has emerged as a powerful tool for characterizing symmetry breaking in quantum many-body systems. In this Letter, we explore how symmetry is dynamically broken through the lens of entanglement asymmetry in two…

Quantum Physics · Physics 2025-09-26 Hui Yu , Zi-Xiang Li , Shi-Xin Zhang

When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Christian Hoffmann , Theodora Ioannidou , Sarah Kahlen , Burkhard Kleihaus , Jutta Kunz

We consider a quantum many-body system on a lattice with a continuous symmetry which exhibits a spontaneous symmetry breaking in its infinite volume ground states, but in which the order operator does not commute with the Hamiltonian. A…

Statistical Mechanics · Physics 2009-10-30 Tohru Koma , Hal Tasaki

The phenomenon of spontaneous symmetry breaking is well known. It is known to be accompanied with the appearance of the `Goldstone boson'. In this paper we construct the canonical coordinates of the Goldstone boson, for quantum spin systems…

Mathematical Physics · Physics 2009-10-31 T. Michoel , A. Verbeure

Field theories compactified on non-simply connected spaces, which in general allow to impose twisted boundary conditions, are found to unexpectedly have a rich phase structure. One of characteristic features of such theories is the…

High Energy Physics - Theory · Physics 2007-05-23 Hisaki Hatanaka , Seiho Matsumoto , Katsuhiko Ohnishi , Makoto Sakamoto

We present an analytical model for the theoretical analysis of spin dynamics and spontaneous symmetry breaking in a spinor Bose-Einstein condensate (BEC). This allows for an excellent intuitive understanding of the processes and provides…

Quantum Physics · Physics 2014-01-14 M. Scherer , B. Lücke , O. Topic , G. Gebreyesus , F. Deuretzbacher , W. Ertmer , L. Santos , C. Klempt , J. J. Arlt

Spontaneous symmetry breaking is an important concept for understanding physics ranging from the elementary particles to states of matter. For example, the superconducting state breaks global gauge symmetry, and unconventional…

Superconductivity · Physics 2016-09-13 K. Matano , M. Kriener , K. Segawa , Y. Ando , Guo-qing Zheng

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