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It is proposed that an event that constitutes a quantum measurement corresponds to the spontaneous breaking of a symmetry in the measuring device over time.

High Energy Physics - Theory · Physics 2007-05-23 Michael Grady

We consider symmetry as a foundational concept in quantum mechanics and rewrite quantum mechanics and measurement axioms in this description. We argue that issues related to measurements and physical reality of states can be better…

Quantum Physics · Physics 2018-04-11 Houri Ziaeepour

We discuss spontaneously broken quantum field theories with a continuous symmetry group via the constraint effective potential. Employing lattice simulations with constrained values of the order parameter, we demonstrate explicitly that the…

High Energy Physics - Lattice · Physics 2021-12-15 Gergely Endrődi , Tamás György Kovács , Gergely Markó

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

We investigate the nature of spontaneous symmetry breaking in complex quantum systems by conjecturing that the maximally symmetry breaking quantum ground states are the most classical ones corresponding to an ordered phase. We make this…

Statistical Mechanics · Physics 2014-12-03 M. Cianciaruso , L. Ferro , S. M. Giampaolo , G. Zonzo , F. Illuminati

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. The system can be mapped to an equivalent system of pseudospin $1/2$…

Condensed Matter · Physics 2009-10-28 Kun Yang , K. Moon , Lotfi Belkhir , H. Mori , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka

The broken and unbroken phases of PT and supersymmetry in optical systems are explored for a complex refractive index profile in the form of a Scarf potential, under the framework of supersymmetric quantum mechanics. The transition from…

Quantum Physics · Physics 2021-07-05 Adipta Pal , Subhrajit Modak , Aradhya Shukla , Prasanta K. Panigrahi

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked…

High Energy Physics - Theory · Physics 2009-11-07 Patrick Dorey , Clare Dunning , Roberto Tateo

We investigate complex versions of the Korteweg-deVries equations and an Ito type nonlinear system with two coupled nonlinear fields. We systematically construct rational, trigonometric/hyperbolic, elliptic and soliton solutions for these…

Mathematical Physics · Physics 2015-03-19 Andrea Cavaglia , Andreas Fring , Bijan Bagchi

We investigate two concrete cases of phase transitions breaking a subsystem symmetry. The models are two classical compass models featuring line-flip and plane-flip symmetries and correspond to special limits of a Heisenberg-Kitaev…

Strongly Correlated Electrons · Physics 2023-02-23 Giovanni Canossa , Lode Pollet , Ke Liu

We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core cigar-shaped potential. The setting is modeled by a system of linearly-coupled one-dimensional Gross-Pitaevskii equations with the cubic self-repulsive…

Pattern Formation and Solitons · Physics 2019-05-15 Bin Liu , Hua-Feng Zhang , Rong-Xuan Zhong , Xi-Liang Zhang , Xi-Zhou Qin , Chunqing Huang , Yong-Yao Li , Boris A. Malomed

The effect of spontaneous breaking of initial SO(3) symmetry is shown to be possible for an H-like atom in the ground state, when it is confined in a spherical box under general boundary conditions of "not going out" through the box surface…

Atomic Physics · Physics 2017-08-02 K. Sveshnikov , A. Tolokonnikov

The concept of spontaneous symmetry breaking (SSB) generally lacks a simple and intuitive introduction in the literature. This gap is filled by defining SSB in a universal context beyond its usual applications in physics and by discussing…

Mathematical Physics · Physics 2020-10-26 Andreas Aste

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

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

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 show that the process of renormalization encapsules a Hopf algebra structure in a natural manner. This sheds light on the recently proposed connection between knots and renormalization theory.

q-alg · Mathematics 2008-11-26 Dirk Kreimer

Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The pseudo-norm is found to have indefinite sign in…

Quantum Physics · Physics 2009-11-07 G. Levai , F. Cannata , A. Ventura

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

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