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It has been proposed that measurement in quantum mechanics results from spontaneous breaking of a symmetry of the measuring apparatus and could be a unitary process that preserves coherence. Viewed in this manner, it is argued,…

Quantum Physics · Physics 2015-02-16 Partha Ghose

A spontaneous symmetry breaking mechanism is used in quantum gravity to obtain a convergent positive definite density-matrix as the most general quantum state of Euclidean wormholes

General Relativity and Quantum Cosmology · Physics 2011-04-20 Pedro F. Gonzalez-Diaz

The notion of distance in Hilbert space is relevant in many scenarios. In particular, distances between quantum states play a central role in quantum information theory. An appropriate measure of distance is the quantum Jensen Shannon…

Quantum Physics · Physics 2008-04-24 A. P. Majtey , A. Borras , M. Casas , P. W. Lamberti , A. Plastino

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

High Energy Physics - Theory · Physics 2015-03-13 Tomas Brauner

We propose a novel mechanism of spontaneous supersymmetry breaking which relies upon an ubiquitous feature of Quantum Field Theory, vacuum condensates. Such condensates play a crucial r\^{o}le in many phenomena. Examples include Unruh…

High Energy Physics - Theory · Physics 2015-06-11 Antonio Capolupo , Marco Di Mauro

The aim of this paper is to propose a criterion of spontaneous symmetry breaking that makes reference to the properties of pure phases defined by a translationally invariant state. By avoiding any reference to the ground state, at the basis…

Statistical Mechanics · Physics 2020-07-08 Carlo Heissenberg , Franco Strocchi

Distance-based clustering and classification are widely used in various fields to group mixed numeric and categorical data. In many algorithms, a predefined distance measurement is used to cluster data points based on their dissimilarity.…

Machine Learning · Computer Science 2024-10-14 Jesse S. Ghashti , John R. J. Thompson

We show how the phenomenon of spontaneous symmetry breakdown is affected by the presence of a sea of fermions in the system. When its density exceeds a critical value, the broken symmetry can be restored. We calculate the critical value and…

General Physics · Physics 2015-07-13 Hagen Kleinert , She-Sheng Xue

In this paper, we advocate a novel measure for the purpose of checking the quality of a cluster partition for a sample into several distinct classes, and thus, determine the unknown value for the true number of clusters prevailing the…

Applications · Statistics 2024-04-12 Soumita Modak

We study the symmetry breaking of acoustic resonances measured by Ellegaard et al., Phys. Rev. Lett. 77, 4918 (1996), in quartz blocks. The observed resonance spectra show a gradual transition from a superposition of two uncoupled…

Chaotic Dynamics · Physics 2012-04-24 A. Y. Abul-Magd , S. A. Mazen , M. Abdel-Mageed

Tower of States analysis is a powerful tool for investigating phase transitions in condensed matter systems. Spontaneous symmetry breaking implies a specific structure of the energy eigenvalues and their corresponding quantum numbers on…

Strongly Correlated Electrons · Physics 2017-04-28 Alexander Wietek , Michael Schuler , Andreas M. Läuchli

Symmetry-breaking phase transitions are ubiquitous in condensed matter systems and in quantum field theories. There is also good reason to believe that they feature in the very early history of the Universe. At many such transitions…

Condensed Matter · Physics 2007-05-23 T. W. B. Kibble

Symmetry plays a fundamental role in quantum many-body physics, and a central concept is spontaneous symmetry breaking, which imposes crucial constraints on the possible quantum phases and their transitions. Recent developments have…

Quantum Physics · Physics 2024-10-15 Zeyu Liu , Langxuan Chen , Yuke Zhang , Shuyan Zhou , Pengfei Zhang

The recently developed information-theoretic approach to crystallographic symmetry classifications and quantifications in two dimensions (2D) from digital transmission electron and scanning probe microscope images is adapted for the…

Materials Science · Physics 2022-08-10 Peter Moeck , Lukas von Koch

The concepts of symmetry and its breakdown are investigated in two different terms according to whether the resulting asymmetry is universal or only obtained for a special configuration: we shall illustrate this by considering in the first…

General Physics · Physics 2022-03-23 Luca Fabbri

Investigations of emergent symmetry breaking phenomena occurring in small finite-size systems are reviewed, with a focus on the strongly correlated regime of electrons in two-dimensional semicoductor quantum dots and trapped ultracold…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 Constantine Yannouleas , Uzi Landman

Spontaneous symmetry breaking underlies much of our classification of phases of matter and their associated transitions. The nature of the underlying symmetry being broken determines many of the qualitative properties of the phase; this is…

The quark-meson coupling model which we have developed previously is extended to incorporate the $\delta$ meson. It is then used to study the Nolen-Schiffer anomaly and isospin symmetry breaking in nuclear matter. We find that, in…

Nuclear Theory · Physics 2010-02-17 K. Saito , A. W. Thomas

Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each…

Artificial Intelligence · Computer Science 2010-05-31 George Katsirelos , Toby Walsh

In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry…

High Energy Physics - Lattice · Physics 2008-11-26 Biagio Lucini , Agostino Patella , Claudio Pica
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