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We show how exact diagonalization of small clusters can be used as a fast and reliable impurity solver by determining the phase diagram and physical properties of the bosonic single-impurity Anderson model. This is specially important for…

Quantum Gases · Physics 2014-05-14 J. H. Warnes , E. Miranda

Symmetry-breaking transitions are a well-understood phenomenon of closed quantum systems in quantum optics, condensed matter, and high energy physics. However, symmetry breaking in open systems is less thoroughly understood, in part due to…

The concepts of symmetry, symmetry breaking and gauge symmetries are discussed, their operational meaning being displayed by the observables {\em and} the (physical) states. For infinitely extended systems the states fall into physically…

History and Philosophy of Physics · Physics 2015-07-03 Franco Strocchi

Self-interaction is a fundamental flaw of practical Kohn-Sham Density Functional Theory (KS DFT) approximations responsible for numerous qualitative and even catastrophic shortcomings. Whereas self-interaction is easy to characterize in…

Chemical Physics · Physics 2024-07-16 Samuel A. Slattery , Edward F. Valeev

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 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…

We extend the well-known theoretical treatment of the spontaneous symmetry breaking (SSB) in two-component systems, combining linear coupling and self-attractive nonlinearity, to a system in which the linear coupling competes with repulsive…

Pattern Formation and Solitons · Physics 2020-08-12 Hidetsugu Sakaguchi , Boris A. Malomed

We calculate the production rate of gauge-boson pairs at $e^+e^-$ colliders in a model with a ``hidden'' electroweak symmetry breaking sector - i.e. one in which there are a large number of particles in the symmetry breaking sector other…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. V. Ramana

In an electronic system, spontaneous symmetry breaking can arise from many-body interaction between electrons, leading to degenerate ground states distinguishable by emergent effects otherwise prohibited by the symmetry. Here we show that…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Zuzhang Lin , Hsun-Chi Chan , Wenqi Yang , Yixin Sha , Cong Xiao , Shuang Zhang , Wang Yao

The review considers the peculiarities of symmetry breaking and symmetry transformations and the related physical effects in finite quantum systems. Some types of symmetry in finite systems can be broken only asymptotically. However, with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 J. L. Birman , R. G. Nazmitdinov , V. I. Yukalov

We study the spontaneous symmetry breaking (SSB) of a superfluid Bose-Fermi (BF) mixture in a double-well potential (DWP). The mixture is described by the Gross-Pitaevskii equation (GPE) for the bosons, coupled to an equation for the order…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari , B. A. Malomed , L. Salasnich , F. Toigo

When applied to a single nucleon, nuclear energy density functionals may yield a non-vanishing internal energy thus implying that the nucleon is interacting with itself. It is shown how to avoid this unphysical feature for semi-local…

Nuclear Theory · Physics 2011-01-28 N. Chamel

Models of spontaneous breaking of electroweak symmetry by a strong interaction do not have fine tuning/hierarchy problem. They are conceptually elegant and use the only mechanism of spontaneous breaking of a gauge symmetry that is known to…

High Energy Physics - Phenomenology · Physics 2011-02-22 Benjamin Grinstein

Spontaneous symmetry breaking (SSB) in quantum systems, such as ferromagnets, is normally described as (or as arising from) degeneracy of the ground state; however, it is well established that this degeneracy only occurs in spatially…

Quantum Physics · Physics 2018-08-30 David Wallace

Quantum multifractality is a fundamental property of systems such as non-interacting disordered systems at an Anderson transition and many-body systems in Hilbert space. Here we discuss the origin of the presence or absence of a fundamental…

Disordered Systems and Neural Networks · Physics 2021-06-16 A. M. Bilen , B. Georgeot , O. Giraud , G. Lemarié , I. García-Mata

Entanglement asymmetry is a relative entropy that faithfully diagnoses symmetry breaking in quantum states, possibly within a spatial subregion. In this work, we extend such framework to higher-form symmetries and compute entanglement…

High Energy Physics - Theory · Physics 2026-02-26 Francesco Benini , Eduardo García-Valdecasas , Stathis Vitouladitis

A state in a quantum system with a given global symmetry, $G$, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions…

High Energy Physics - Theory · Physics 2025-09-15 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

The proximity effect in condensed matter physics is a mechanism that naturally produces weak superconductivity. We argue that a braneworld can similarly produce a low-energy breaking of the electroweak symmetry, provided that in addition to…

High Energy Physics - Phenomenology · Physics 2010-04-21 S. Khlebnikov

The symmetry-topology interplay dictates how to define order parameters and classify material ordered phases. However, current understanding of this interplay has been predominately approached from a one-sided perspective, with topological…

Materials Science · Physics 2025-02-25 Liang Luo , Boqun Song , Genda Gu , Martin Mootz , Yongxin Yao , Ilias E. Perakis , Qiang Li , Jigang Wang

Statistical systems, in which spontaneous symmetry breaking can be accompanied by spontaneous local symmetry restoration, are considered. A general approach to describing such systems is formulated, based on the notion of weighted Hilbert…

Statistical Mechanics · Physics 2010-01-26 V. I. Yukalov
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