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Discrete time crystals are related to non-equilibrium dynamics of periodically driven quantum many-body systems where the discrete time translation symmetry of the Hamiltonian is spontaneously broken into another discrete symmetry.…

Quantum Gases · Physics 2018-05-31 Arkadiusz Kosior , Krzysztof Sacha

Continuous time crystal (CTC) and quasi-crystal (CTQC) are two novel phases of matter characterized by the spontaneous breaking of continuous time-translation symmetry. To date, realizations of CTCs with periodic oscillations have been…

Quantum Physics · Physics 2024-12-02 Ying Huang , Tishuo Wang , Haochuan Yin , Min Jiang , Zhihuang Luo , Xinhua Peng

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

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice. We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring…

Quantum Gases · Physics 2019-10-16 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

Out-of-equilibrium Rydberg gases exhibit emergent many-body phases due to mode competition. Sustained limit cycle oscillations (OSC) emerge when driven by B-fields at room-temperature, forming robust Rydberg dissipative time crystals (DTC).…

Atomic Physics · Physics 2025-03-13 Darmindra Arumugam

We investigate the non-equilibrium dynamics of a Heisenberg spin-1/2 chain driven by a periodic magnetic field. Based on its instantaneous integrability and inherent symmetry, we analytically study the magnetization and many-body tunneling…

Strongly Correlated Electrons · Physics 2025-07-22 Xiaotong Chen , Jianda Wu

Driven-dissipative many-body system supports nontrivial quantum phases absent in equilibrium. As a prominent example, the interplay between coherent driving and collective dissipation can lead to a dynamical quantum phase that spontaneously…

Quantum Physics · Physics 2025-12-29 Zhuqing Wang , Ruochen Gao , Xiaoling Wu , Berislav Buča , Klaus Mølmer , Li You , Fan Yang

Quantum phase transitions have been shown to be highly beneficial for quantum sensing, owing to diverging quantum Fisher information close to criticality. In this work we consider a periodically modulated Lipkin-Meshkov-Glick model to show…

Quantum Physics · Physics 2026-05-19 Rahul Ghosh , Bandita Das , Victor Mukherjee

Discrete time crystals are non-equilibrium phases of matter in periodically driven systems, characterized by robust subharmonic oscillations and broken discrete time-translation symmetry. Their long-lived coherent dynamics and resilience to…

Quantum Physics · Physics 2026-04-29 Rozhin Yousefjani , Shaikha Al-Naimi , Saif Al-Kuwari , Abolfazl Bayat

We establish a link between metastability and a discrete time-crystalline phase in a periodically driven open quantum system. The mechanism we highlight requires neither the system to display any microscopic symmetry nor the presence of…

Statistical Mechanics · Physics 2019-01-10 F. M. Gambetta , F. Carollo , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

We study discrete time-crystalline (DTC) phases in one-dimensional spin-1/2 chains with power-law-graded Ising interactions under periodic Floquet driving. By generalizing Stark localization to power-law-graded Ising interaction profiles,…

Quantum Physics · Physics 2026-05-06 Ayan Sahoo , Debraj Rakshit

We introduce an analytical framework to calculate the values of key observables in a strongly disordered discrete time crystal (DTC) without fitting parameter. The perturbatively obtained closed-form formulae show quantitative agreement…

Disordered Systems and Neural Networks · Physics 2025-12-25 Yang-Ren Liu , Biao Huang

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

We investigate an unconventional symmetry in time-periodically driven systems, the Floquet dynamical symmetry (FDS). Unlike the usual symmetries, the FDS gives symmetry sectors that are equidistant in the Floquet spectrum and protects…

Statistical Mechanics · Physics 2020-08-10 Koki Chinzei , Tatsuhiko N. Ikeda

Understanding how temporal order degrades in quantum systems remains a central issue in nonequilibrium physics. Here we study the melting of discrete time crystals in a periodically driven holographic system, where a distinct (discrete)…

High Energy Physics - Theory · Physics 2026-04-16 Yu-Qi Lei , Xian-Hui Ge , Yu Tian , Shao-Feng Wu

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase…

Statistical Mechanics · Physics 2024-04-08 Rubén Hurtado-Gutiérrez

Periodically driven Floquet quantum systems hold great promise for engineering exotic quantum phases and matter, but are often limited by rapid thermalization. In this work, we propose and demonstrate a square-wave-modulated Floquet…

Quantum Physics · Physics 2026-03-18 Yunhui He , Yuechun Jiao , Jianming Zhao , Weibin Li

We investigate the emergence of time quasicrystals (TQCs) in the open Dicke model, subjected to a quasi-periodic Fibonacci drive. TQCs are characterized by a robust sub-harmonic quasi-periodic response that is qualitatively distinct from…

Quantum Physics · Physics 2026-02-06 Sk Anisur , Sayan Choudhury

Interacting particle systems with many degrees of freedom may undergo phase transitions to sustain atypical fluctuations of dynamical observables such as the current or the activity. This leads in some cases to symmetry-broken space-time…

Statistical Mechanics · Physics 2019-08-23 Carlos Pérez-Espigares , Pablo I. Hurtado

Topologically ordered phases of matter elude Landau's symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to…

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