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Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes,…

High Energy Physics - Theory · Physics 2019-12-16 Aron J. Beekman , Louk Rademaker , Jasper van Wezel

We present a detailed investigation of an overlooked symmetry structure in non-collinear antiferromagnets that gives rise to an emergent quantum number for magnons. Focusing on the triangular-lattice Heisenberg antiferromagnet, we show that…

Strongly Correlated Electrons · Physics 2025-05-07 Bastián Pradenas , Grigor Adamyan , Oleg Tchernyshyov

We report experimental evidence of a remarkable spontaneous time reversal symmetry breaking in two dimensional electron systems formed by atomically confined doping of phosphorus (P) atoms inside bulk crystalline silicon (Si) and germanium…

Strongly Correlated Electrons · Physics 2015-06-19 S. Shamim , S. Mahapatra , G. Scappucci , W. M. Klesse , M. Y. Simmons , A. Ghosh

Atomic self-ordering to a crystalline phase in optical resonators is a consequence of the intriguing non-linear dynamics of strongly coupled atom motion and photons. Generally the resulting phase diagrams and atomic states can be largely…

Quantum Physics · Physics 2020-01-29 Stefan Ostermann , Wolfgang Niedenzu , Helmut Ritsch

Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $\phi^4$ theory is relatively simple compared to other more complex theories,…

High Energy Physics - Theory · Physics 2024-01-24 Chen-Te Ma , Yiwen Pan , Hui Zhang

In this paper we consider the simplified form that a recently introduced general operator description of the Hubbard model on the square lattice with $N_a^2\gg 1$ sites, effective transfer integral $t$, and onsite repulsion $U$ has in a…

Strongly Correlated Electrons · Physics 2010-06-14 J. P. Carmelo

Two-dimensional quantum materials can host original electronic phases that arise from the interplay of electronic correlations, symmetry and topology. In particular, the spontaneous breaking of internal symmetry that acts simultaneously on…

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

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

Statistical Mechanics · Physics 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

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

We have calculated the ground state wave functions for a systems of multicomponent interacting fermions. We show that it describes the state with spontaneously broken chiral symmetry. In the limit of an infinitely strong interaction it…

Strongly Correlated Electrons · Physics 2007-05-23 V. V. Afonin , V. L. Gurevich , V. Yu. Petrov

The phenomenon of spontaneous symmetry breaking is investigated in the dynamic thermalization of a degenerate quantum system. A three-level system interacting with a heat bath is carefully studied to this end. It is shown that the…

Quantum Physics · Physics 2009-09-08 Jie-Qiao Liao , H. Dong , X. G. Wang , X. F. Liu , C. P. Sun

Motivated by recent experiments on Bose-Einstein condensed atoms which rotate in annular/toroidal traps we study the effect of the finiteness of the atom number $N$ on the states of lowest energy for a fixed expectation value of the angular…

Quantum Gases · Physics 2017-03-08 A. Roussou , J. Smyrnakis , M. Magiropoulos , Nikolaos K. Efremidis , G. M. Kavoulakis

We consider electronic systems with a spontaneously broken continuous symmetry. The scattering vertex between electrons and Goldstone modes is calculated over the entire Brillouin zone using the random phase approximation. This calculation…

Strongly Correlated Electrons · Physics 2024-01-08 Konstantinos Vasiliou , Yuchi He , Nick Bultinck

Many two-dimensional physical systems have symmetries which are mathematically described by quantum groups (quasi-triangular Hopf algebras). In this letter we introduce the concept of a spontaneously broken Hopf symmetry and show that it…

High Energy Physics - Theory · Physics 2009-11-07 F. A. Bais , B. J. Schroers , J. K. Slingerland

We describe an experiment showing a spontaneous symmetry breaking phenomenon between the intensities of the ordinary and extraordinary components of the fundamental field in intracavity type-II harmonic generation. It is based on a triply…

We demonstrate the presence of an optical phase transition with frustration-induced spontaneous symmetry breaking in a triangular planar atomic array due to cooperative light-mediated interactions. We show how the array geometry of triangle…

Quantum Gases · Physics 2022-10-18 C. D. Parmee , K. E. Ballantine , J. Ruostekoski

We consider symmetron model in a generalized background with a hope to make it compatible with dark energy. We observe a "no go" theorem at least in case of a conformal coupling. Being convinced of symmetron incapability to be dark energy,…

High Energy Physics - Theory · Physics 2015-06-12 K. Bamba , R. Gannouji , M. Kamijo , S. Nojiri , M. Sami

Spontaneous symmetry breaking occurs when the symmetry that a physical system possesses, is not preserved for the ground state of the system. Although the procedure of symmetry breaking is quite clear from the mathematical point of view,…

Physics Education · Physics 2007-05-23 A. Acus

We consider the homogeneous Bose gas in the three-dimensional unit torus, where $N$ particles interact via a two-body potential of the form $N^{-1} v(x)$. The system is studied at inverse temperatures of order $N^{-2/3}$, which corresponds…

Mathematical Physics · Physics 2025-07-29 Andreas Deuchert , Phan Thanh Nam , Marcin Napiorkowski