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We analytically identify a new class of quantum scars protected by spatiotemporal translation symmetries, dubbed Floquet-Bloch scars. They distinguish from previous (quasi-)static scars by a rigid spectral pairing only possible in Floquet…

Quantum Gases · Physics 2022-09-20 Biao Huang , Tsz-Him Leung , Dan Stamper-Kurn , W. Vincent Liu

Boundary time crystals exhibit spontaneous breaking of continuous time-translation symmetry through persistent periodic oscillations in driven-dissipative many-body systems. Here, we show that multilevel interference provides a natural…

Quantum Physics · Physics 2026-05-27 Kang Shen , Xiangming Hu , Fei Wang

The breaking of the continuous time-translation symmetry manifests, in Markovian open quantum systems, through the emergence of non-stationary dynamical phases. Systems that display nonequilibrium transitions into these phases are referred…

Statistical Mechanics · Physics 2022-05-04 Federico Carollo , Igor Lesanovsky

We study prethermal time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry of a unit cell of the lattice, we show…

Quantum Physics · Physics 2025-03-25 Lennart Fernandes , Joseph Tindall , Dries Sels

Utilizing exact diagonalization (ED) techniques, we investigate a one-dimensional, non-reciprocal, interacting hard-core boson model under a Stark potential with tail curvature. By employing the non-zero imaginary eigenenergies ratio,…

Quantum Gases · Physics 2023-10-20 Han-Ze Li , Xue-Jia Yu , Jian-Xin Zhong

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

Time crystals, a unique non-equilibrium quantum phenomenon with promising applications in current quantum technologies, mark a significant advance in quantum mechanics. Although traditionally studied in atom-cavity and optical lattice…

Quantum Physics · Physics 2024-10-07 Subhajit Sarkar , Yonatan Dubi

Time crystals, as temporal analogs of space crystals, manifest as stable and periodic behavior that breaks time translation symmetry. In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time…

Atomic Physics · Physics 2025-10-09 Yuechun Jiao , Weilun Jiang , Yu Zhang , Jingxu Bai , Yunhui He , Heng Shen , Jianming Zhao , Suotang Jia

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

Time crystals are classified as discrete or continuous depending on whether they spontaneously break discrete or continuous time translation symmetry. While discrete time crystals have been extensively studied in periodically driven systems…

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

The spontaneous breaking of time translation symmetry has led to the discovery of a new phase of matter - the discrete time crystal. Discrete time crystals exhibit rigid subharmonic oscillations, which result from a combination of many-body…

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

The Dicke model -- a paradigmatic example of superradiance in quantum optics -- describes an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of the cooperative nature of these interactions, the system's…

Quantum Gases · Physics 2019-12-16 Bihui Zhu , Jamir Marino , Norman Y. Yao , Mikhail D. Lukin , Eugene A. Demler

We examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By…

Strongly Correlated Electrons · Physics 2021-02-04 P. Prelovšek , M. Mierzejewski , J. Krsnik , O. S. Barišić

Boundary time crystals (BTCs) are prominent examples of continuous time crystals in collective spin systems governed by Lindbladian evolution. To date, their analysis has mostly relied on semiclassical and numerical approaches. Here, we…

Quantum Physics · Physics 2026-04-17 Dominik Nemeth , Ahsan Nazir , Robert-Jan Slager , Alessandro Principi

We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a…

Statistical Mechanics · Physics 2020-04-08 Achilleas Lazarides , Sthitadhi Roy , Francesco Piazza , Roderich Moessner

We investigate how symmetries and conserved quantities relate to the occurrence of the boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation. BTCs are a non-equilibrium phase of matter in which the system,…

Quantum Physics · Physics 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah

Dynamically localized states in quantum many-body systems are fundamentally important in understanding quantum thermalization and have applications in quantum information processing. Here we explore many-body dynamical localization (MBDL)…

Quantum Physics · Physics 2025-08-27 Ling-Zhi Tang , Dan-Wei Zhang , Hai-Feng Yu , Z. D. Wang

We discuss the emergence of non-stationarity in open quantum many-body systems. This leads us to the definition of dissipative time crystals which display experimentally observable, persistent, time-periodic oscillations induced by noisy…

Quantum Physics · Physics 2022-11-28 Cameron Booker , Berislav Buča , Dieter Jaksch