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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

We study the collective dynamics of a clean Floquet system of cold atoms, numerically simulating two realistic set-ups based on a regular chain of interacting Rydberg atoms driven by laser fields. In both cases, the population evolution and…

Quantum Physics · Physics 2020-01-14 Chuhui Fan , D. Rossini , Han-Xiao Zhang , Jin-Hui Wu , M. Artoni , G. C. La Rocca

Discrete time crystalline phases have attracted significant theoretical and experimental attention in the last few years. Such systems require a seemingly impossible combination of nonadiabatic driving and a finite-entropy long-time state,…

Disordered Systems and Neural Networks · Physics 2025-02-11 Yevgeny Bar Lev , Achilleas Lazarides

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…

Quantum Physics · Physics 2025-11-14 Gourab Das , Saptarshi Saha , Rangeet Bhattacharyya

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 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…

Quantum Physics · Physics 2024-10-31 Rozhin Yousefjani , Angelo Carollo , Krzysztof Sacha , Saif Al-Kuwari , Abolfazl Bayat

Discrete time crystals (DTCs) are nonequilibrium phases of matter characterized by robust subharmonic order parameter dynamics. We report a new type of DTC in a periodically driven surface code, the subharmonic signature of which is only…

Quantum Physics · Physics 2021-08-04 Raditya Weda Bomantara

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

Higher-order and fractional discrete time crystals (DTCs) are exotic phases of matter where the discrete time translation symmetry is broken into higher-order and non-integer category. Generation of these unique DTCs has been widely studied…

Time crystals are periodic states exhibiting spontaneous symmetry breaking in either time-independent or periodically forced quantum many-body systems. Spontaneous modification of discrete time translation symmetry in a periodically driven…

Optics · Physics 2022-03-01 Hossein Taheri , Andrey B. Matsko , Lute Maleki , Krzysztof Sacha

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 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

We propose a novel protocol to realize discrete time-crystal (DTC) order in clean, periodically driven spin-$1/2$ chains. In each drive cycle, a global spin flip is followed by a two-tone flat-band segment. This flat-band segment engineers…

Statistical Mechanics · Physics 2026-03-17 Mahbub Rahaman , Analabha Roy

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…

Discrete time crystals (DTC) have emerged as a significant phase of matter for out-of-equilibrium many-body systems. We study how long-range interactions and disorder contribute to the stability of the DTC phase. Generally, a stable DTC…

Disordered Systems and Neural Networks · Physics 2025-05-20 Aarya Bothra , Arti Garg

A discrete time crystal (DTC) is a robust phase of driven systems that breaks the discrete time translation symmetry of the driving Hamiltonian. Recent experiments have observed DTC signatures in two distinct systems. Here we show nuclear…

Quantum Physics · Physics 2018-05-18 Jared Rovny , Robert L. Blum , Sean E. Barrett

A remarkable consequence of spontaneously breaking the time translational symmetry in a system, is the emergence of time crystals. In periodically driven systems, discrete time crystals (DTC) can be realized which have a periodicity that is…

The study of topologically ordered states have given rise to a growing interest in symmetry protected states in quantum matter. Recently, this theory has been extended to quantum many body systems which demonstrate ordered states at low…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Christopher Sims

Non-equilibrium Rydberg gases exhibit exotic many-body phases stabilized by the interplay of coherent interactions and dissipation. Strong Rydberg interactions drive sustained limit cycle oscillations, whose robustness, long-range temporal…

Quantum Physics · Physics 2025-04-24 Darmindra Arumugam

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.…

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