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We study spontaneous symmetry breaking in a one-dimensional driven two-species stochastic cellular automaton with parallel sublattice update and open boundaries. The dynamics are symmetric with respect to interchange of particles. Starting…

统计力学 · 物理学 2009-11-11 Stefan Grosskinsky , Gunter M. Schutz , Richard D. Willmann

We focus on a Hamiltonian system with a continuous symmetry, and dynamics that takes place on a presymplectic manifold. We explain how the symmetry can become spontaneously broken by a time crystal, that we define as the minimum of the…

斑图形成与孤子 · 物理学 2020-05-05 Jin Dai , Antti J. Niemi , Xubiao Peng

The compelling original idea of a time crystal has referred to a structure that repeats in time as well as in space, an idea that has attracted significant interest recently. While obstructions to realize such structures became apparent…

强关联电子 · 物理学 2020-12-03 A. Kshetrimayum , J. Eisert , D. M. Kennes

Spontaneous symmetry breaking is well understood under equilibrium conditions as a consequence of the singularity of the thermodynamic limit. How a single global orientation of the order parameter dynamically emerges from an initially…

量子物理 · 物理学 2022-10-12 Jasper van Wezel

We investigate the spontaneous breaking of subsystem symmetries directly in the context of continuum field theories by calculating the correlation function of charged operators. Our methods confirm the lack of spontaneous symmetry breaking…

高能物理 - 理论 · 物理学 2022-03-10 Jacques Distler , Andreas Karch , Amir Raz

Time crystals are classified into discrete time crystals and continuous time crystals based on whether they spontaneously break time-translation symmetry. Continuous-time crystals do not require external driving. By introducing AdS/CFT…

量子物理 · 物理学 2025-08-15 Ximo Wang , Qiwei Han , Zhenqi Bai , Hongyan Fan , Yichi Zhang

Spontaneous symmetry breaking is a foundational concept in physics. In condensed matter, it characterizes conventional continuous phase transitions but is absent at topological phase transitions such as the Berezinskii-Kosterlitz-Thouless…

统计力学 · 物理学 2025-06-09 Michael F. Faulkner

When matter undergoes a phase transition from one state to another, usually a change in symmetry is observed, as some of the symmetries exhibited are said to be spontaneously broken. The superconducting phase transition in the underdoped…

In the area of topological and geometric treatment of phase transitions and symmetry breaking in Hamiltonian systems, in a recent paper some general sufficient conditions for these phenomena in $\mathbb{Z}_2$-symmetric systems (i.e.…

统计力学 · 物理学 2016-11-07 Fabrizio Baroni

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,…

物理教育 · 物理学 2007-05-23 A. Acus

Exploiting the energy of randomly moving active agents such as bacteria is a fascinating way to power a microdevice. Here we show, by simulations, that a chain-grafted disk-like colloid can rotate unidirectionally when immersed in a thin…

软凝聚态物质 · 物理学 2017-05-16 Hui-shu Li , Chao Wang , Kang Chen , Wen-de Tian , Yu-qiang Ma

We study a system involving a single quantum degree of freedom per site of the lattice interacting with a few neighbors (up to second neighbors), with the interactions chosen as to produce frustration. At zero temperature, this system…

统计力学 · 物理学 2021-09-29 Heitor Casasola , Carlos A. Hernaski , Pedro R. S. Gomes , Paula F. Bienzobaz

Between space crystals and amorphous materials there exists a third class of aperiodic structures which lack translational symmetry but reveal long-range order. They are dubbed quasi-crystals and their formation, similarly as the formation…

量子气体 · 物理学 2019-06-19 Krzysztof Giergiel , Arkadiusz Kuroś , Krzysztof Sacha

Discrete time crystals (DTC) exhibit a special non-equilibrium phase of matter in periodically driven many-body systems with spontaneous breaking of time translational symmetry. The presence of decoherence generally enhances thermalization…

量子物理 · 物理学 2024-10-31 Rozhin Yousefjani , Angelo Carollo , Krzysztof Sacha , Saif Al-Kuwari , Abolfazl Bayat

We investigate how symmetries and conserved quantities relate to the occurrence of the boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation. BTCs are a non-equilibrium phase of matter in which the system,…

量子物理 · 物理学 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah

Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite number of degrees of freedom, and even then, for continuous…

无序系统与神经网络 · 物理学 2026-04-10 Oleg Evnin

Many-body quantum systems, under suitable conditions, exhibit time-translation symmetry breaking and settle in a discrete time crystalline (DTC) phase -- an out-of-equilibrium quantum phase of matter. The defining feature of DTC is a robust…

量子物理 · 物理学 2025-11-14 Gourab Das , Saptarshi Saha , Rangeet Bhattacharyya

Spontaneous symmetry breaking is ubiquitous phenomenon in nature. One of the defining features of symmetry broken phases is that the large system size limit and the vanishing external field limit do not commute. In this work, we study a…

统计力学 · 物理学 2023-05-24 Yaozong Hu , Haruki Watanabe

Boundary time crystals (BTC's) are non-equilibrium phases of matter occurring in quantum systems in contact to an environment, for which a macroscopic fraction of the many body system breaks time translation symmetry. We study BTC's in…

统计力学 · 物理学 2021-05-24 Luis Fernando dos Prazeres , Leonardo da Silva Souza , Fernando Iemini

Non-equilibrium driving systems provide fertile ground for exploring intriguing spontaneous symmetry breaking phenomena. In this study, we report on the intertwined discrete spacetime translational symmetry breaking in a driven-dissipative…

统计力学 · 物理学 2024-06-25 Xingdong Luo