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A class of above-barrier quantum-scattering problems is shown to provide an experimentally-accessible platform for studying $\mathcal{PT}$-symmetric Schr\"odinger equations that exhibit spontaneous $\mathcal{PT}$ symmetry breaking despite…

Quantum Physics · Physics 2023-09-12 Micheline B. Soley , Carl M. Bender , A. Douglas Stone

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

Spontaneous symmetry breaking is a universal concept throughout science. For instance, the Landau-Ginzburg paradigm of translational symmetry breaking underlies the classification of nearly all quantum phases of matter and explains the…

An SU(2) lattice gauge theory with two doublets of complex scalar fields is considered. All continuous symmetries are identified and, using the nonperturbative methods of lattice field theory, the phase diagram is mapped out by direct…

High Energy Physics - Lattice · Physics 2010-09-02 Randy Lewis , R. M. Woloshyn

Based on the study of a one-dimensional (1D) antiferromagnetic Heisenberg model on a comb lattice, this work identifies an example of spontaneous continuous symmetry breaking in a 1D system with short-range interactions. When a…

Strongly Correlated Electrons · Physics 2026-05-18 Jingya Wang , Zenan Liu , Bin-Bin Mao , Xu Tian , Zijian Xiong , Zhe Wang , Zheng Yan

Motivated by the study of breathers in the disordered Discrete Non Linear Schr\"odinger equation, we study the uniform probability over the intersection of a simplex and an ellipsoid in $n$ dimensions, with quenched disorder in the…

Statistical Mechanics · Physics 2018-01-17 Julien Barré , Léo Mangeolle

We demonstrate the presence of an optical phase transition with frustration-induced spontaneous symmetry breaking in a triangular planar atomic array due to cooperative light-mediated interactions. We show how the array geometry of triangle…

Quantum Gases · Physics 2022-10-18 C. D. Parmee , K. E. Ballantine , J. Ruostekoski

The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the decay of the single site potential is slow. The leading…

Probability · Mathematics 2010-12-14 Ryoki Fukushima , Naomasa Ueki

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

Frustration on the triangular lattice has long been a source of intriguing and often debated phases in many-body systems. Although symmetry analysis has been employed, the role of the seemingly trivial parity symmetry has received little…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yuchen Meng , Haiyuan Zou

We introduce a new Lorentz-violating modification to a scalar quantum field theory. This interaction, while super-renormalizable by power counting, is fundamentally different from the interactions previously considered within the…

High Energy Physics - Theory · Physics 2009-11-10 B. Altschul

In the last years we have proposed the use of the mechanism of spontaneous symmetry breaking with the purpose of generating perfect quadrature squeezing. Here we review previous work dealing with spatial (translational and rotational)…

We consider a statistical mechanical model of a generic flexible polyelectrolyte, comprised of identically charged monomers with long range electrostatic interactions, and short-range interactions quantified by a disorder field along the…

Soft Condensed Matter · Physics 2025-04-24 V. Stepanyan , A. Badasyan , V. Morozov , Y. Mamasakhlisov , R. Podgornik

We discuss situations under which Lorentz symmetry is violated in effective gravitational field theories that arise in the low-energy limit of strings. In particular, we discuss spontaneous violation of the symmetry by the ground state of…

High Energy Physics - Theory · Physics 2022-05-17 Nick E. Mavromatos

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational…

High Energy Physics - Theory · Physics 2009-11-10 G. D. Barbosa

Studies of scattering processes in scalar models with two Higgs doublets have recently hinted at a connection between the absence of flavour-space entanglement in $\Phi^+\Phi^0$ scattering and an emergent $\mathrm{SO}(8)$ symmetry in the…

High Energy Physics - Phenomenology · Physics 2025-08-20 Giorgio Busoni , John Gargalionis , Ewan N. V. Wallace , Martin J. White

Spontaneous chiral symmetry breaking in QCD with massless quarks at infinite volume can be seen in a finite box by studying, for instance, the dependence of the chiral condensate from the volume and the quark mass. We perform a feasibility…

High Energy Physics - Lattice · Physics 2010-10-27 Leonardo Giusti , Silvia Necco

The description of spontaneous symmetry breaking that underlies the connection between classically ordered objects in the thermodynamic limit and their individual quantum mechanical building blocks is one of the cornerstones of modern…

Other Condensed Matter · Physics 2010-04-29 Jasper van Wezel

We analyze the eigenstates of a two-dimensional lattice with additional harmonic confinement in the presence of an artificial magnetic field. While the softness of the confinement makes a distinction between bulk and edge states difficult,…

Quantum Gases · Physics 2014-03-12 Andrey R. Kolovsky , Fabian Grusdt , Michael Fleischhauer

Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Lehnert