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Related papers: Observation of a Discrete Time Crystal

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Discrete time crystals (DTCs) are novel out-of-equilibrium quantum states of matter which break time translational symmetry. DTCs have been extensively realized in experiments, particularly their subclass that is characterized by…

Quantum Physics · Physics 2025-12-09 Tianqi Chen , Ruizhe Shen , Ching Hua Lee , Bo Yang , Raditya Weda Bomantara

Discrete-Time Crystals (DTC) are a non-equilibrium phase of matter characterized by the breaking of time-translation symmetry in periodically driven quantum systems. In this work, we present a detailed thermodynamic analysis of a DTC in a…

We show that an ultra-cold atomic cloud bouncing on an oscillating mirror can reveal spontaneous breaking of a discrete time translation symmetry. In many-body simulations we illustrate the process of the symmetry breaking that can be…

Quantum Gases · Physics 2016-08-11 Krzysztof Sacha

Symmetries are well known to have had a profound role in our understanding of nature and are a critical design concept for the realization of advanced technologies. In fact, many symmetry-broken states associated with different phases of…

Quantum Physics · Physics 2021-04-01 A. Sakurai , V. M. Bastidas , W. J. Munro , Kae Nemoto

Discrete time crystals (DTCs) refer to a novel many-body steady state that spontaneously breaks the discrete time-translational symmetry in a periodically-driven quantum system. Here, we study DTCs in a Bose-Einstein condensate (BEC)…

Quantum Gases · Physics 2021-12-02 Jia Wang , Krzysztof Sacha , Peter Hannaford , Bryan J. Dalton

Continuous time crystals, i.e., nonequilibrium phases with a spontaneously broken continuous time-translational symmetry, have been studied and recently observed in the long-time dynamics of open quantum systems. Here, we investigate a…

Quantum Physics · Physics 2025-09-15 Felix Russo , Thomas Pohl

Time crystals are unexpected states of matter that spontaneously break time translation symmetry either in a discrete or continuous manner. However, spatially-mesoscale space-time crystals that break both the space and time symmetries have…

Soft Condensed Matter · Physics 2025-07-24 Hanqing Zhao , Ivan I. Smalyukh

A discrete time crystal (DTC) repeats itself with a rigid rhythm, mimicking a ticking clock set by the interplay between its internal structures and an external force. DTCs promise profound applications in precision time-keeping and other…

Quantum Gases · Physics 2020-07-22 Changyuan Lyu , Sayan Choudhury , Chenwei Lv , Yangqian Yan , Qi Zhou

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

In analogy to spontaneous breaking of continuous space translation symmetry in the process of space crystal formation, it was proposed that spontaneous breaking of continuous time translation symmetry could lead to time crystal formation.…

Quantum Physics · Physics 2017-12-29 Andrzej Syrwid , Jakub Zakrzewski , Krzysztof Sacha

We show here through experiments and exact analytical models the emergence of discrete time translation symmetry breaking in non-interacting systems. These time-periodic structures become stable against perturbations only in the presence of…

Quantum Physics · Physics 2021-07-27 Jianpei Geng , Vadim Vorobyov , Durga Dasari , Joerg Wrachtrup

Continuous time crystals (CTCs) are characterized by sustained oscillations that break the time translation symmetry. Since the ruling out of equilibrium CTCs by no-go theorems, the emergence of such dynamical phases has been observed in…

Quantum Physics · Physics 2024-05-01 Ya-Xin Xiang , Qun-Li Lei , Zhengyang Bai , Yu-Qiang Ma

The idea of breaking time-translation symmetry has fascinated humanity at least since ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such as spatial translation in a crystal or spin rotation in a magnet,…

Strongly Correlated Electrons · Physics 2019-10-28 Vedika Khemani , Roderich Moessner , S. L. Sondhi

We introduce a new class of out-of-equilibrium noninteracting topological phases, the topological space-time crystals. These are time-dependent quantum systems which do not have discrete spatial translation symmetries, but instead are…

Mesoscale and Nanoscale Physics · Physics 2022-05-06 Yang Peng

The spontaneous breaking of symmetries is a widespread phenomenon in physics. When time translational symmetry is spontaneously broken, an exotic nonequilibrium state of matter in which the same structures repeat themselves in time can…

Soft Condensed Matter · Physics 2021-12-10 Marina Evers , Raphael Wittkowski

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

A time crystal is an exotic phase of matter where time-translational symmetry is broken; this phase differs from the spatial symmetry breaking induced in crystals in space. Lots of experiments report the transition from a thermal…

The spontaneous breaking of time translation symmetry in periodically driven Floquet systems can lead to a discrete time crystal. Here we study the occurrence of such dynamical phase in a driven-dissipative optomechanical system with two…

Quantum Physics · Physics 2024-03-19 Dongni Chen , Zhengyang Peng , Jiahui Li , Stefano Chesi , Yingdan Wang

Prethermal discrete time crystals (PDTCs), an emergent non-equilibrium phase of matter, have been studied in two- and higher-dimensional lattices with nearest-neighbor (NN) interactions and one-dimensional (1D) lattices with long-range…

Quantum Physics · Physics 2025-10-13 Zhuo-Yi Li , Yu-Ran Zhang