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Related papers: Classical many-body time crystals

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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…

Strongly Correlated Electrons · Physics 2020-12-03 A. Kshetrimayum , J. Eisert , D. M. Kennes

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

We present fresh evidence for the presence of discrete quantum time crystals in two spatial dimensions. Discrete time crystals are intricate quantum systems that break discrete time translation symmetry in driven quantum many-body systems…

Quantum Physics · Physics 2021-06-16 A. Kshetrimayum , M. Goihl , D. M. Kennes , J. Eisert

Time crystals are classified as discrete or continuous depending on whether they spontaneously break discrete or continuous time translation symmetry. While discrete time crystals have been extensively studied in periodically driven systems…

The spontaneous breaking of time translation symmetry has led to the discovery of a new phase of matter - the discrete time crystal. Discrete time crystals exhibit rigid subharmonic oscillations, which result from a combination of many-body…

Discrete time crystal is a class of nonequilibrium quantum systems exhibiting subharmonic responses to external periodic driving. Here we propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. We start with…

Quantum Physics · Physics 2023-10-10 Zi-Ang Hu , Bo Fu , Xiao Li , Shun-Qing Shen

Time crystals are many-body systems that spontaneously break time-translation symmetry, and thus exhibit long-range spatiotemporal order and robust periodic motion. Recent results have demonstrated how to build time-crystal phases in driven…

Statistical Mechanics · Physics 2025-04-11 R. Hurtado-Gutiérrez , C. Pérez-Espigares , P. I. Hurtado

Discrete (DTCs) and continuous time crystals (CTCs) are novel dynamical many-body states, that are characterized by robust self-sustained oscillations, emerging via spontaneous breaking of discrete or continuous time translation symmetry.…

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…

Quantum Gases · Physics 2019-06-19 Krzysztof Giergiel , Arkadiusz Kuroś , Krzysztof Sacha

The discrete time crystal (DTC) is a recently discovered phase of matter that spontaneously breaks time-translation symmetry. Disorder-induced many-body-localization is required to stabilize a DTC to arbitrary times, yet an experimental…

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…

Quantum Physics · Physics 2025-08-15 Ximo Wang , Qiwei Han , Zhenqi Bai , Hongyan Fan , Yichi Zhang

Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter. A prime example is the breaking of spatial translation symmetry, which underlies the formation…

Time crystals, a unique non-equilibrium quantum phenomenon with promising applications in current quantum technologies, mark a significant advance in quantum mechanics. Although traditionally studied in atom-cavity and optical lattice…

Quantum Physics · Physics 2024-10-07 Subhajit Sarkar , Yonatan Dubi

When the discrete time-translation symmetry of isolated, periodically driven systems is spontaneously broken, a new phase of matter can emerge. We review some recent developments on both the theoretical underpinnings and experimental…

Quantum Physics · Physics 2018-11-28 Norman Y. Yao , Chetan Nayak

A dissipative time crystal is an emergent phase in driven-dissipative quantum many-body systems, characterized by sustained oscillations that break time-translation symmetry spontaneously. Here, we explore nonequilibrium phase transitions…

Quantum Gases · Physics 2026-01-09 Yunlong Xue , Zhengyang Bai , Yu-Qiang Ma

The breaking of the continuous time-translation symmetry manifests, in Markovian open quantum systems, through the emergence of non-stationary dynamical phases. Systems that display nonequilibrium transitions into these phases are referred…

Statistical Mechanics · Physics 2022-05-04 Federico Carollo , Igor Lesanovsky

Discrete time crystals are periodically driven systems that display spontaneous symmetry breaking of time translation invariance in the form of indefinite subharmonic oscillations. We introduce a thermodynamically consistent model for a…

Statistical Mechanics · Physics 2021-01-20 Lukas Oberreiter , Udo Seifert , Andre C. Barato

Time crystals are nonequilibrium phases of matter characterized by the emergence of temporal ordering, in which an interacting many-body system develops robust structure in its time evolution that is not trivially dictated by the external…

Quantum Physics · Physics 2026-05-27 Gonzalo Camacho , Benedikt Fauseweh

Discrete time crystals (DTCs) are emergent non-equilibrium phases of periodically driven many-body systems, with potential applications ranging from quantum computing to sensing and metrology. There has been significant recent interest in…

We analyse quasi-periodically driven quantum systems that can be mapped exactly to periodically driven ones and find Floquet Time Spirals in analogy with spatially incommensurate spiral magnetic states. Generalising the mechanism to…

Disordered Systems and Neural Networks · Physics 2019-10-09 Hongzheng Zhao , Florian Mintert , Johannes Knolle