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A random matrix model to describe the coupling of m-fold symmetry in constructed. The particular threefold case is used to analyze data on eigenfrequencies of elastomechanical vibration of an anisotropic quartz block. It is suggested that…

Data Analysis, Statistics and Probability · Physics 2007-11-18 J. X. Carvalho , M. S. Hussein , M. P. Pato , A. J. Sargeant

Exact diagonalization is a powerful numerical technique to analyze static and dynamical quantities in quantum many-body lattice models. It provides unbiased information concerning quantum numbers, energies and wave-functions of the…

Strongly Correlated Electrons · Physics 2016-08-31 Gregoire Misguich , Philippe Sindzingre

We use the microscopic Hartree-Fock approximation to investigate various quantum phase transitions associated with possible spontaneous symmetry breaking induced by a tilted magnetic field in the integral quantum Hall regime of wide…

Strongly Correlated Electrons · Physics 2009-11-10 D. -W. Wang , E. Demler , S. Das Sarma

Why does spontaneous symmetry breaking occur? Why is a state breaking symmetry realized? We explore an idea that measurement selects such a state even if a system is given in a state respecting the symmetry of the system. We point out that…

Quantum Physics · Physics 2014-05-07 Takaaki Monnai , Mauro Iazzi , Kazuya Yuasa

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 propose a self-consistent scheme for the determination of the ground-state (GS) properties of interacting electrons in a magnetic field, and of systems whose GS's time-reversal-symmetry (TRS) is spontaneously broken. It is based on a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Behnam Farid

The (emergent) symmetry of a critical point is one of the most important information to identify the universality class and effective field theory, which is fundamental for various critical theories. However, the underlying symmetry so far…

Quantum Physics · Physics 2026-02-03 Bin-Bin Mao , Zhe Wang , Bin-Bin Chen , Zheng Yan

We consider a quantum many-body system on a lattice with a continuous symmetry which exhibits a spontaneous symmetry breaking in its infinite volume ground states, but in which the order operator does not commute with the Hamiltonian. A…

Statistical Mechanics · Physics 2009-10-30 Tohru Koma , Hal Tasaki

The symmetries that govern the laws of nature can be spontaneously broken, enabling the occurrence of ordered states. Crystals arise from the breaking of translation symmetry, magnets from broken spin rotation symmetry and massive particles…

Quantum Physics · Physics 2010-04-29 Jasper van Wezel

Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described by an ensemble of random states with an internal $U(1)$ symmetry. We build upon this…

Quantum Physics · Physics 2025-09-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We study spontaneous symmetry breaking in one dimensional quantum mechanical problems in terms of two-point boundary problems which lead to singular potentials containing Dirac delta functions and its derivatives. We search for…

Mathematical Physics · Physics 2019-02-18 A. Restuccia , A. Sotomayor , V. Strauss

In frameworks of the phenomenological approach we analyze of the phase diagram of mixed compounds. We obtain space groups of symmetry of the real structures as result of phase transition from close-packed degenerate structure. The theory of…

Statistical Mechanics · Physics 2007-05-23 B. R. Gadjiev

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to macroscopic phenomena like fluid dynamics and cosmic…

Machine Learning · Computer Science 2025-07-11 Rui Wang , Elyssa Hofgard , Han Gao , Robin Walters , Tess E. Smidt

Recently, emergent symmetry is one of fast-growing intriguing issues in many-body systems. Its roles and consequential physics have not been well understood in quantum phase transitions. Emergent symmetry of degenerate groundstates is…

Statistical Mechanics · Physics 2015-05-06 Mei He , Qian-Qian Shi , Sam Young Cho

Spontaneous symmetry breaking originats in quantum mechanical measurement of the relevant observable defining the physical situation, order parameter is the average of this observable. A modification is made on the random-phase postulate…

Quantum Physics · Physics 2008-02-03 Yu Shi

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov

When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If…

High Energy Physics - Theory · Physics 2009-10-31 R. J. Finkelstein

We discuss the question of inverse symmetry breaking at non-zero temperature using the exact renormalization group. We study a two-scalar theory and concentrate on the nature of the phase transition during which the symmetry is broken. We…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Pietroni , N. Rius , N. Tetradis

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

One common way to define spontaneous symmetry breaking involves explicit symmetry breaking. This definition can be used in any approach to Effective Field Theory, from perturbation theory to lattice simulations. It allows us to study the…

High Energy Physics - Phenomenology · Physics 2017-10-23 Leonardo Pedro