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Related papers: Discrete time-crystalline order in Bose-Hubbard mo…

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The rich dynamics and phase structure of driven systems includes the recently described phenomenon of the "discrete time crystal" (DTC), a robust phase which spontaneously breaks the discrete time translation symmetry of its driving…

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

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

We pinpoint the conditions necessary for discrete time crystal (DTC) formation in fully connected spin-cavity systems from the perspective of parametric resonance by mapping these systems onto oscillator like models. We elucidate the role…

Quantum Physics · Physics 2024-04-18 Roy D. Jara , Dennis F. Salinel , Jayson G. Cosme

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 (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.…

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…

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

While a generic open quantum system decays to its steady state, continuous time crystals (CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as crystals develop correlations in space, CTCs do so in time.…

Quantum Physics · Physics 2025-10-23 Parvinder Solanki , Fabrizio Minganti

The search for exotic temporal orders in quantum matter, such as discrete quasi-time crystals (DQTCs), has become an important theme in nonequilibrium physics. However, realizing these phases has so far required complex protocols, such as…

Quantum Physics · Physics 2025-12-12 Xu Feng , Shuo Liu , Shu Chen , Shi-Xin Zhang

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

Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase…

Quantum Physics · Physics 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

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

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…

Statistical Mechanics · Physics 2021-05-24 Luis Fernando dos Prazeres , Leonardo da Silva Souza , Fernando Iemini

Discrete time crystals (DTCs) have emerged as novel nonequilibrium phases of matter that spontaneously break discrete time-translation symmetry in periodically driven systems. Rigorous experimental validation of DTCs, which requires highly…

Statistical Mechanics · Physics 2025-04-24 Naoya Egawa , Kaoru Mizuta , Joji Nasu

We investigate the discrete time crystal (DTC) phase in a qubit ensemble, periodically driven by its interaction with either a photon or a transmon field, which is prone to dissipative leakage. We find this DTC to be robust against changes…

Quantum Physics · Physics 2024-07-09 Tanaya Ray , Shuva Mondal , Ujjwal Sen

Discrete time crystals are periodically driven systems characterized by a response with periodicity $nT$, with $T$ the period of the drive and $n>1$. Typically, $n$ is an integer and bounded from above by the dimension of the local (or…

Other Condensed Matter · Physics 2021-04-27 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

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

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…

Discrete time crystals (DTCs) are non-equilibrium phases in periodically driven systems that exhibit spontaneous breaking of discrete time-translation symmetry. The stabilization of most DTC phases is achieved via the disorder-induced…

Quantum Physics · Physics 2025-12-19 Jian-Jia Wang , Ling-Zhi Tang , Yan-Xiong Du , Dan-Wei Zhang

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…