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Parametric amplification of quantum fluctuations constitutes a fundamental mechanism for spontaneous symmetry breaking. In our experiments, a spinor condensate acts as a parametric amplifier of spin modes, resulting in a twofold spontaneous…

Quantum Gases · Physics 2010-12-21 M. Scherer , B. Lücke , G. Gebreyesus , O. Topic , F. Deuretzbacher , W. Ertmer , L. Santos , J. J. Arlt , C. Klempt

We propose a fundamental setup for the realization of spontaneous symmetry breaking (SSB) and spontaneous antisymmetry breaking (SASB) in the framework of the nonlinear Schroedinger equation with the self-attractive and repulsive cubic…

Pattern Formation and Solitons · Physics 2025-07-15 Hidetsugu Sakaguchi , Boris A. Malomed , T. J. Taiwo

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 pose and resolve a seeming paradox about spontaneous symmetry breaking in the quantum theory of infinite systems. For a symmetry to be spontaneously broken, it must not be implementable by a unitary operator. But Wigner's theorem…

Quantum Physics · Physics 2011-03-17 David John Baker , Hans Halvorson

A non-local toy-model is proposed for the purpose of modelling the ``wave function collapse'' of a two-state quantum system. The collapse is driven by a nonlinear evolution equation with an extreme sensitivity to absolute phase. It is…

Quantum Physics · Physics 2007-05-23 Henrik Brusheim-Johansson

We show that metamaterials can be used as a testing ground to investigate spontaneous symmetry breaking associated with non-Hermitian quantum systems. By exploring the interplay between near-field dipolar coupling and material absorption or…

Optics · Physics 2015-06-11 Ming Kang , Fu Liu , Jensen Li

Non-symmetric rectangular correlation matrices occur in many problems in economics. We test the method of extracting statistically meaningful correlations between input and output variables of large dimensionality and build a toy model for…

Data Analysis, Statistics and Probability · Physics 2018-08-01 Małgorzata Snarska

The majority of renormalizable field theories possessing the scale invariance at the classical level exhibits the trace anomaly once quantum corrections are taken into account. This leads to the breaking of scale and conformal invariance.…

High Energy Physics - Theory · Physics 2015-06-15 Roberta Armillis , Alexander Monin , Mikhail Shaposhnikov

Spontaneous symmetry breaking is central to our understanding of physics and explains many natural phenomena, from cosmic scales to subatomic particles. Its use for applications requires devices with a high level of symmetry, but engineered…

The impact of an anti-unitary symmetry on the spectrum of non-hermitean operators is studied. Wigner's normal form of an anti-unitary operator is shown to account for the spectral properties of non-hermitean, PT-symmetric Hamiltonians. Both…

Quantum Physics · Physics 2009-11-07 Stefan Weigert

In this paper we consider the Spontaneous Symmetry Breaking Mechanism (SSBM) in the Standard Model of particles in the unitary gauge. We show that the computation usually presented of this mechanism can be conveniently performed in a…

High Energy Physics - Theory · Physics 2010-01-11 Thierry Masson , Jean-Christophe Wallet

Continuous symmetries and their breaking play a prominent role in contemporary physics. Effective low-energy field theories around symmetry breaking states explain diverse phenomena such as superconductivity, magnetism, and the mass of…

Machine Learning · Statistics 2019-07-05 Robert Bamler , Stephan Mandt

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

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

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there…

Statistical Mechanics · Physics 2018-04-27 Richard D. Willmann , Gunter M. Schuetz , Stefan Grosskinsky

Using relations between wave functions obtained in the framework of the relativistic mean field theory, we investigate the effects of pseudospin and spin symmetry breaking on the single nucleon wave functions in spherical nuclei. In our…

Nuclear Theory · Physics 2009-11-10 P. J. Borycki , J. Ginocchio , W. Nazarewicz , M. Stoitsov

The static and dynamics properties of finite-size lattice quantum spin models which spontaneously break a continuous $U(1)$ symmetry in the thermodynamic limit are of central importance for a wide variety of physical systems, from condensed…

Strongly Correlated Electrons · Physics 2023-12-25 Tommaso Roscilde , Tommaso Comparin , Fabio Mezzacapo

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 a physical system undergoing a continuous quantum phase transition, spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the ground state. In the traditional Landau theory, a symmetry…

Quantum Algebra · Mathematics 2019-03-05 Marcel Bischoff , Corey Jones , Yuan-Ming Lu , David Penneys

We present a theoretical study of the interaction between an atom characterized by a degenerate ground state and a reciprocal environment, such as a semiconductor nanoparticle, without the presence of external bias. Our analysis reveals…

Quantum Physics · Physics 2024-03-22 Mário G. Silveirinha , Hugo Terças , Mauro Antezza
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