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We develop an entropy based framework for analyzing symmetry breaking in dynamical systems. Information transfer, which measures the directional exchange of entropy between observables, provides a quantitative early indicator of symmetry…

统计力学 · 物理学 2025-11-20 Subhrajit Sinha , Parvathi Kooloth

Spontaneous symmetry breaking (SSB) is a key concept in physics that for decades has played a crucial role in the description of many physical phenomena in a large number of different areas, like particle physics, cosmology, and…

统计力学 · 物理学 2021-08-25 J. Smits , H. T. C. Stoof , P. van der Straten

We introduce a class of 1D models mimicking a single-lane bridge with two junctions and two particle species driven in opposite directions. The model exhibits spontaneous symmetry breaking (SSB) for a range of injection/extraction rates. In…

统计力学 · 物理学 2011-04-26 Vladislav Popkov , Martin R. Evans , David Mukamel

A symmetry breaking (SB) involves an abrupt change in the set of microstates that a system can explore. This change has unavoidable thermodynamic implications. According to Boltzmann's microscopic interpretation of entropy, a shrinkage of…

统计力学 · 物理学 2015-06-17 Edgar Roldan , Ignacio A Martinez , Juan MR Parrondo , Dmitri Petrov

Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a critical value. In this study, we examine SSB in a periodic…

光学 · 物理学 2024-10-21 Ruihan Peng , Qidong Fu , Yejia Chen , Weidong Luo , Changming Huang , Fangwei Ye

Spontaneous symmetry breaking (SSB) is responsible for structure formation in scenarios ranging from condensed matter to cosmology. SSB is broadly understood in terms of perturbations to the Hamiltonian governing the dynamics or to the…

量子物理 · 物理学 2019-09-02 Luis Pedro García-Pintos , Diego Tielas , Adolfo del Campo

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, and weak symmetry, which applies only to the entire ensemble.…

量子物理 · 物理学 2025-03-11 Leonardo A. Lessa , Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

Spontaneous symmetry breaking (SSB) is crucial to the occurrence of phase transitions. Once a phase transition occurs, a quantum system presents degenerate eigenstates that lack the symmetry of the Hamiltonian. After crossing the critical…

Spontaneous symmetry breaking (SSB) occurs when a many-body system governed by a symmetric Hamiltonian, and prepared in a symmetry-broken state by the application of a field coupling to its order parameter $O$, retains a finite $O$ value…

强关联电子 · 物理学 2024-12-23 Filippo Caleca , Saverio Bocini , Fabio Mezzacapo , Tommaso Roscilde

Panic-induced herding in individuals often leads to social disasters, resulting in people being trapped and trampled in crowd stampedes triggered by panic. We introduce a novel approach that offers fresh insights into studying the…

物理与社会 · 物理学 2025-06-03 C. S. Kim , Claudio Dib , Sechul Oh

We investigate competition between two phase transitions of the second kind induced by the self-attractive nonlinearity, viz., self-trapping of the leaky modes, and spontaneous symmetry breaking (SSB) of both fully trapped and leaky states.…

We propose a novel framework to analyze symmetry breaking in dynamical systems through the lens of entropy and information transfer. Information transfer quantifies the directional exchange of entropy between observables, allowing us to…

动力系统 · 数学 2025-11-12 Subhrajit Sinha , Parvathi Kooloth

Spontaneous symmetry breaking (SSB) is key for our understanding of phase transitions and the spontaneous emergence of order. Photonics provide versatile systems to study SSB. In this work, we report that for a two-dimensional (2D) periodic…

We study a system of two hardcore bosonic Hubbard models weakly coupled with each other by tunneling. Assuming that the single uncoupled model exhibits off-diagonal long-range order, we prove that the coupled system exhibits spontaneous…

统计力学 · 物理学 2020-01-08 Hal Tasaki

Beginning with Anderson (1972), spontaneous symmetry breaking (SSB) in infinite quantum systems is often put forward as an example of (asymptotic) emergence in physics, since in theory no finite system should display it. Even the…

数学物理 · 物理学 2013-08-05 N. P. Landsman

Spontaneous symmetry breaking (SSB) for Bose-Einstein condensates cannot treat phase off-diagonal effects, and thus not explain Bell inequality violations. We describe another situation that is beyond a SSB treatment: an experiment where…

量子物理 · 物理学 2010-04-22 W. J. Mullin , F. Laloë

Symmetry breaking has been a central theme in classifying quantum phases and phase transitions. Recently, this concept has been extended to the mixed states of open systems, attracting considerable attention due to the emergence of novel…

强关联电子 · 物理学 2025-10-21 Yuxuan Guo , Sheng Yang , Xue-Jia Yu

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…

量子物理 · 物理学 2008-02-03 Yu Shi

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

量子物理 · 物理学 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun

Spontaneous symmetry breaking (SSB) plays a central role in understanding a large variety of phenomena associated with phase transitions, such as superfluid and superconductivity. So far, the transition from a symmetric vacuum to a…

量子物理 · 物理学 2024-07-01 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng
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