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Discrete time crystals (DTCs) are non-equilibrium phases of matter that break the discrete time-translation symmetry and is characterized by a robust subharmonic response in periodically driven quantum systems. Here, we explore the DTC in a…

Quantum Physics · Physics 2026-05-08 Ling-Zhi Tang , Xiao Li , Z. D. Wang , Dan-Wei Zhang

We demonstrate the realization of a Discrete Time-Crystal (DTC) phase in a family of periodically driven, one-dimensional quadratic lattice Hamiltonians that can be obtained using spin chains. These interactions preserve integrability while…

Strongly Correlated Electrons · Physics 2026-04-21 Rahul Chandra , Mahbub Rahaman , Soumyabroto Majumder , Analabha Roy , Sujit Sarkar

Discrete time crystals (DTC) have been demonstrated experimentally in several different quantum systems in the past few years. Spin couplings and cavity losses have been shown to play crucial roles for realizing DTC order in open many-body…

Quantum Physics · Physics 2022-02-03 Zhengda Hu , Xingyu Gao , Tongcang Li

We examine the distinct discrete time crystals (DTCs) that emerge in the Lipkin-Meshkov-Glick model, subjected to spatially nonuniform periodic driving. Intriguingly, we demonstrate that by appropriately tailoring the drive protocol,…

Quantum Physics · Physics 2025-12-24 Shashank Mishra , Sayan Choudhury

Discrete time crystal (DTC) has recently attracted increasing attention, but most DTC models and their properties are only revealed after disorder average. In this Letter, we propose a simple disorder-free periodically driven model that…

Strongly Correlated Electrons · Physics 2023-03-29 Shuo Liu , Shi-Xin Zhang , Chang-Yu Hsieh , Shengyu Zhang , Hong Yao

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

Floquet engineering, i.e. driving the system with periodic Hamiltonians, not only provides great flexibility in analog quantum simulation, but also supports phase structures of great richness. It has been proposed that Floquet systems can…

Quantum Physics · Physics 2021-08-03 Huikai Xu , Jingning Zhang , Jiaxiu Han , Zhiyuan Li , Guangming Xue , Weiyang Liu , Yirong Jin , Haifeng Yu

We propose a new Floquet time crystal model that responds in arbitrary multiples of the driving period. Such an $n$-tuple discrete time crystal is theoretically constructed by permuting spins in a disordered chain and is well suited for…

Quantum Physics · Physics 2025-06-10 Hongye Yu , Tzu-Chieh Wei

Periodically driven (Floquet) systems are described by time dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence of a novel non-equilibrium phase of matter…

Quantum Physics · Physics 2024-02-15 Sayan Choudhury

We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a…

Statistical Mechanics · Physics 2022-10-19 Alessandro Santini , Giuseppe E. Santoro , Mario Collura

Floquet time crystal, which breaks discrete time-translation symmetry, is an intriguing phenomenon in non-equilibrium systems. It is crucial to understand the rigidity and robustness of discrete time crystal (DTC) phases in a many-body…

Quantum Gases · Physics 2023-05-16 Peng Xu , Tian-Shu Deng

Prethermal discrete time crystals (PDTCs) are a nonequilibrium state of matter characterized by long-range spatiotemporal order, and exhibiting a subharmonic response stabilized by many-body interactions under periodic driving. The inherent…

Periodically driven quantum systems host a range of non-equilibrium phenomena which are unrealizable at equilibrium. Discrete time-translational symmetry in a periodically driven many-body system can be spontaneously broken to form a…

Mesoscale and Nanoscale Physics · Physics 2019-06-11 James O'Sullivan , Oliver Lunt , Christoph W. Zollitsch , M. L. W. Thewalt , John J. L. Morton , Arijeet Pal

Motivated by experimental observations of time-symmetry breaking behavior in a periodically driven (Floquet) system, we study a one-dimensional spin model to explore the stability of such Floquet discrete time crystals (DTCs) under the…

Strongly Correlated Electrons · Physics 2017-09-25 Tian-Sheng Zeng , D. N. Sheng

We report the observation of long-lived Floquet prethermal discrete time crystalline (PDTC) order in a three-dimensional position-disordered lattice of interacting dipolar-coupled 13C nuclei in diamond at room temperature. We demonstrate a…

Discrete time crystals (DTCs) are new phases of matter characterized by the presence of an observable evolving with $nT$ periodicity under a $T$-periodic Hamiltonian, where $n>1$ is an integer insensitive to small parameter variations. In…

Quantum Physics · Physics 2020-01-17 Pekik Nurwantoro , Raditya Weda Bomantara , Jiangbin Gong

Discrete Floquet time crystals (DFTC) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet driven systems. In analogy with equilibrium critical points, also time-crystalline…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Solfanelli , Lorenzo Correale , Nicolò Defenu

A discrete time crystal (DTC) is a remarkable non-equilibrium phase of matter characterized by the persistent sub-harmonic oscillations of physical observables in periodically driven many-body systems. Motivated by the question of whether…

Quantum Gases · Physics 2025-06-10 Sk Anisur , W. Vincent Liu , Sayan Choudhury

We analyze the quantum dynamics of periodically driven, disordered systems in the presence of long-range interactions. Focusing on the stability of discrete time crystalline (DTC) order in such systems, we use a perturbative procedure to…

Disordered Systems and Neural Networks · Physics 2017-07-10 Wen Wei Ho , Soonwon Choi , Mikhail D. Lukin , Dmitry A. Abanin

Discrete time crystals are a recently proposed and experimentally observed out-of-equilibrium dynamical phase of Floquet systems, where the stroboscopic evolution of a local observable repeats itself at an integer multiple of the driving…

Statistical Mechanics · Physics 2018-01-29 Zongping Gong , Ryusuke Hamazaki , Masahito Ueda
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