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It has been recently suggested that a totally asymmetric exclusion process with two species on an open chain could exhibit spontaneous symmetry breaking in some range of the parameters defining its dynamics. The symmetry breaking is…

Condensed Matter · Physics 2009-10-28 C. Godreche , J. M. Luck , M. R. Evans , D. Mukamel , S. Sandow , E. R. Speer

The entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far it has only been used to characterise the breaking of continuous Abelian…

Statistical Mechanics · Physics 2024-02-08 Florent Ferro , Filiberto Ares , Pasquale Calabrese

Spontaneous symmetry breaking is a universal concept throughout science. For instance, the Landau-Ginzburg paradigm of translational symmetry breaking underlies the classification of nearly all quantum phases of matter and explains the…

The spontaneous symmetry breaking at zero temperature in the four-component four-dimensional scalar $\lambda \phi^4_4$ model (the O(4) model) is investigated on a lattice for different values of the coupling constant $\lambda$. A general…

High Energy Physics - Lattice · Physics 2015-01-20 Vadim Demchik , Alexey Gulov , Vladimir Skalozub

We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integrable singularities. We also present cases of singular…

Probability · Mathematics 2011-08-25 Dima Ioffe , Senya Shlosman , Yvan Velenik

It is challenging to probe ergodicity breaking trends of a quantum many-body system when dissipation inevitably damages quantum coherence originated from coherent coupling and dispersive two-body interactions. Rydberg atoms provide a test…

Using dynamical-mean-field theory for clusters, we study the two-dimensional Hubbard model in which electrons are coupled with the orthorhombic lattice distortions through the modulation in the hopping matrix. Instability towards…

Strongly Correlated Electrons · Physics 2015-06-05 Satoshi Okamoto , Nobuo Furukawa

Spontaneous symmetry breaking and elementary excitation are two of the pillars of condensed matter physics that are closely related to each other. The symmetry and its spontaneous breaking not only control the dynamics and spectrum of…

Quantum Gases · Physics 2021-01-20 Xiaoqin Yang , Zi Cai

We study the effects of discretization on the U(1) symmetric XY model in two dimensions using the Higher Order Tensor Renormalization Group (HOTRG) approach. Regarding the $Z_N$ symmetric clock models as specific discretizations of the XY…

High Energy Physics - Lattice · Physics 2023-08-22 Nouman Butt , Xiao-Yong Jin , James C Osborn , Zain H Saleem

We investigate aspects of spontaneous breakdown of symmetry for $O(N)$ symmetric linear sigma model in the background of Rindler and Anti-de Sitter spacetimes respectively. In the large $N$ limit, by computing the one-loop effective action,…

High Energy Physics - Theory · Physics 2023-05-10 Pallab Basu , Haridev S R , Prasant Samantray

Arrays of Rydberg atoms in the blockade regime realize a wealth of strongly correlated quantum physics, but theoretical analysis beyond the chain is rather difficult. Here we study a tractable model of Rydberg-blockade atoms on the square…

Strongly Correlated Electrons · Physics 2024-03-13 Luisa Eck , Paul Fendley

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

We investigate a two-dimensional tiling model. Even though the degrees of freedom in this model are discrete, it has a hidden continuous global symmetry in the infinite lattice limit, whose corresponding Goldstone modes are the…

Statistical Mechanics · Physics 2014-07-09 Eran Sagi , Eli Eisenberg

We explore phases of two-component Rydberg-dressed Bose-Einstein condensates in three spatial dimensions. The competition between the effective ranges of inter- and intra-component soft-core interactions leads to a rich variety of ground…

Quantum Gases · Physics 2025-07-23 Yi-Ming Duan , Liang-Jun He , Fabian Maucher , Yong-Chang Zhang

We study the spontaneous symmetry breaking of dipolar Bose--Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential…

Pattern Formation and Solitons · Physics 2017-08-04 Yongyao Li , Zhiwei Fan , Zhihuan Luo , Yan Liu , Hexiang He , Jiantao Lü , Jianing Xie , Chunqing Huang , Haishu Tan

Symmetry breaking is reported for continuous families of solitons in the nonlinear Schr\"odinger equation with a two-dimensional complex potential. This symmetry-breaking bifurcation is forbidden in generic complex potentials. However, for…

Pattern Formation and Solitons · Physics 2015-06-23 Jianke Yang

The crossover between short-range and long-range (LR) universal behaviors remains a central theme in the physics of long-range interacting systems. The competition between LR coupling and the Berezinskii-Kosterlitz-Thouless mechanism makes…

Statistical Mechanics · Physics 2025-11-14 Tianning Xiao , Dingyun Yao , Chao Zhang , Zhijie Fan , Youjin Deng

The mechanism of spontaneous symmetry breaking in quantum systems is briefly reviewed, rectifying part of the standard wisdom on logical and mathematical grounds. The crucial role of the localization properties of the time evolution for the…

History and Philosophy of Physics · Physics 2012-01-27 F. Strocchi

We study the ground-state density profile of a spin-orbit coupled $f=2$ spinor condensate in a quasi-one-dimensional trap. The Hamiltonian of the system is invariant under time reversal but not under parity. We identify different parity-…

Quantum Gases · Physics 2015-02-18 Sandeep Gautam , S. K. Adhikari

We introduce a model governing the copropagation of two components which represent circular polarizations of light in the optical fiber with relative strength g = 2 of the nonlinear repulsion between the components, and linear coupling…

Pattern Formation and Solitons · Physics 2025-07-23 Hidetsugu Sakaguchi , Boris A. Malomed
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