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Entanglement asymmetry provides a quantitative measure of symmetry breaking in many-body quantum states. Focusing on inhomogeneous $U(1)$ charges, such as dipole and multipole moments, we show that the typical asymmetry is bounded by a…

Statistical Mechanics · Physics 2026-04-10 Lorenzo Gotta , Filiberto Ares , Sara Murciano

Finite group symmetry is commonplace in Physics, in particular through crystallographic groups occurring in condensed matter physics -- but also through the inversions (C,P,T and their combinations) occurring in high energy physics and…

Mathematical Physics · Physics 2008-03-26 G. Gaeta

In this paper, the development of a mathematical method is presented to explore spatially non-uniform phases with no long-range order in mathematical models of first order phase transitions. We use essential results regarding the…

Statistical Mechanics · Physics 2020-09-08 Gyula I. Toth

The Hamiltonian formulation of lattice gauge theories plays a central role in quantum simulations of gauge theories, and understanding their spectrum and other properties is expected to become crucial in the upcoming years. The relevant…

High Energy Physics - Lattice · Physics 2026-04-20 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros

We introduce a dual-core system with double symmetry, one between the cores, and one along each core, imposed by the spatial modulation of local nonlinearity in the form of two tightly localized spots, which may be approximated by a pair of…

Pattern Formation and Solitons · Physics 2018-05-15 Krzysztof B. Zegadlo , Nguyen Viet Hung , Aleksandr Ramaniuk , Marek Trippenbach , Boris A. Malomed

The role of the electron-hole symmetry breaking is investigated for a symmetrical commutative two-level system in a metal using the multiplicative renormalization group in a straightforward way. The role of the symmetries of the model and…

Strongly Correlated Electrons · Physics 2009-10-30 A. Zawadowski , G. Zarand , P. Nozieres , K. Vladar , G. T. Zimanyi

Particle-hole symmetry plays an important role for the characterization of topological phases in solid-state systems. It is found, for example, in free-fermion systems at half filling, and it is closely related to the notion of…

Polymer quantization is a non-standard approach to quantizing a classical system inspired by background independent approaches to quantum gravity such as loop quantum gravity. When applied to field theory it introduces a characteristic…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Michele Arzano , Marco Letizia

Violations of Lorentz symmetry are typically associated with modifications of one-particle dispersion relations. The physical effects of such modifications in particle collisions often grow with energy, so that ultrahigh-energy cosmic rays…

High Energy Physics - Phenomenology · Physics 2014-03-25 Ralf Lehnert

The entanglement asymmetry measures the extent to which a symmetry is broken within a subsystem of an extended quantum system. Here, we analyse this quantity in Haar random states for arbitrary compact, semi-simple Lie groups, building on…

High Energy Physics - Theory · Physics 2025-07-01 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

In this article we study the symmetry breaking phenomenon of solutions of noncooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global…

Analysis of PDEs · Mathematics 2013-03-06 Piotr Stefaniak

The role that quasiparticles play in a strong interaction system with spontaneous symmetry breaking is examined. We find, using a non- perturbative cluster decomposition method, that the quasiparticles do not saturate the physical local…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Ying

A new version of the delta expansion is presented, which, unlike the conventional delta expansion, can be used to do nonperturbative calculations in a self-interacting scalar quantum field theory having broken symmetry. We calculate the…

High Energy Physics - Theory · Physics 2009-12-30 Carl M. Bender , Kimball A. Milton

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

Statistical Mechanics · Physics 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

The hole probability, i.e., the probability that a region is void of particles, is a benchmark of correlations in many body systems. We compute analytically this probability $P(R)$ for a spherical region of radius $R$ in the case of $N$…

Statistical Mechanics · Physics 2022-05-05 Gabriel Gouraud , Pierre Le Doussal , Gregory Schehr

Particle-hole symmetry and chiral symmetry play a pivotal role in multiple areas of physics, yet they remain unstudied in systems with nonlinear interactions whose nonlinear normal modes do not exhibit $\textbf{U}(1)$-gauge symmetry. In…

Statistical Mechanics · Physics 2024-03-28 Di Zhou

Symmetry breaking caused by geometric fluctuations can enable processes that are otherwise forbidden. An example is a perylene bisimide dyad whose dipole moments are perpendicular to each other. F\"orster-type energy transfer is thus…

Chemical Physics · Physics 2014-12-18 N. Mann , P. Nalbach , S. Mukamel , M. Thorwart

We introduce the particle-hole map (PHM), a visualization tool to analyze electronic excitations in molecules in the time or frequency domain, to be used in conjunction with time-dependent density-functional theory (TDDFT) or other ab…

Chemical Physics · Physics 2015-10-15 Yonghui Li , Carsten A. Ullrich

We revisit two-dimensional particle-hole symmetric sublattice localization problem, focusing on the origin of the observed singularities in the density of states $\rho(E)$ at the band center E=0. The most general such system [R. Gade, Nucl.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Olexei Motrunich , Kedar Damle , David A. Huse

We propose a new method for the study of the chiral properties of the ground state in Quantum Field Theories (QFT's) which is based on the computation of the probability distribution function (p.d.f.) of the chiral condensate in the chiral…

High Energy Physics - Lattice · Physics 2009-10-28 Vicente Azcoiti , Victor Laliena , Xiang-Qian Luo