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Related papers: Time crystals: a review

200 papers

Discrete time crystal is a class of nonequilibrium quantum systems exhibiting subharmonic responses to external periodic driving. Here we propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. We start with…

Quantum Physics · Physics 2023-10-10 Zi-Ang Hu , Bo Fu , Xiao Li , Shun-Qing Shen

Time crystalline structures are characterized by regularity that single-particle or many-body systems manifest in the time domain, closely resembling the spatial regularity of ordinary space crystals. Here we show that time and space…

Quantum Gases · Physics 2021-03-17 Giedrius Žlabys , Chu-hui Fan , Egidijus Anisimovas , Krzysztof Sacha

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.…

We identify a time crystal phase characterized by a frequency half of the driving frequency in disordered superconductors by employing the time dependent Bogoliubov-de Gennes formalism at zero temperature with a periodically driven coupling…

Superconductivity · Physics 2024-11-21 Bo Fan , Zi Cai , Antonio M. García-García

Floquet time crystals are characterized by subharmonic behavior of temporal correlation functions. Studying the paradigmatic time crystal based on the disordered Floquet quantum Ising model, we show that its temporal spin correlations are…

Statistical Mechanics · Physics 2026-01-27 Alexander-Georg Penner , Harald Schmid , Leonid I. Glazman , Felix von Oppen

This study aims to provide evidence regarding the emergence of a class of dissipative time crystals when $\mathcal{PT}$ symmetry of the systems is restored in collective spin systems with Lindblad dynamics. First, we show that a standard…

Quantum Physics · Physics 2023-01-25 Yuma Nakanishi , Tomohiro Sasamoto

Although classical nonlinear dynamics suggests that sufficiently strong nonlinearity can sustain oscillations, quantization of such model typically yields a time-independent steady state that respects time-translation symmetry and thus…

Quantum Physics · Physics 2026-01-29 Song-hai Li , Najmeh Es'haqi-Sani , Xingli Li , Wenlin Li

Time crystals are a peculiar state of matter. Their emergence hinges on ergodicity breaking, which typically originates from many-body localization or Floquet prethermalization. Here we propose a novel scheme for devising robust dissipative…

Quantum Physics · Physics 2026-02-03 Haowei Li , Wei Yi

The study of phases is useful for understanding novel states of matter. One such state of matter are time crystals which constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry. Time…

Quantum Gases · Physics 2021-12-24 Arkadiusz Kuros , Rick Mukherjee , Florian Mintert , Krzysztof Sacha

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

The problem of the Nature of Time is twofold: whether or not time is a fundamental quantity of Nature, and how does clock time of metrology emerge in the experimental description of dynamics. This work strongly supports the fundamental…

Classical Physics · Physics 2013-11-05 Enrico Prati

Closed time-like curves naturally appear in a variety of chronology-violating space-times. In these space-times, the Principle of Self-Consistency demands an harmony between local and global affairs that excludes grandfather-like paradoxes.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gustavo E. Romero , Diego F. Torres

As toy models for space-time on the Planck scale, we consider examples of fermion systems in discrete space-time which are composed of one or two particles defined on two up to nine space-time points. We study the self-organization of the…

Mathematical Physics · Physics 2014-11-18 Alexander Diethert , Felix Finster , Daniela Schiefeneder

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

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

Discrete algebraic Riccati equations and their fixed points are well understood and arise in a variety of applications, however, the time-varying equations have not yet been fully explored in the literature. In this article we provide a…

Dynamical Systems · Mathematics 2021-07-28 Pierre del Moral , Emma Horton

We have constructed and characterised an instrument to study gravitationally bouncing droplets of fluid, subjected to periodic driving force. Our system incorporates a droplet printer that enables an on-demand computer controlled deposition…

Fluid Dynamics · Physics 2024-03-12 Tapio Simula

Propagation of monochromatic extraordinary light in a hyperbolic metamaterial is identical to propagation of massive particles in a three dimensional effective Minkowski spacetime, in which the role of a timelike variable is played by one…

Optics · Physics 2015-12-16 Igor I. Smolyaninov

We demonstrate the emergence of a time crystal of atoms in a high-finesse optical cavity driven by a phase-modulated transverse pump field, resulting in a shaken lattice. This shaken system exhibits macroscopic oscillations in the number of…

Quantum Gases · Physics 2019-11-27 Jayson G. Cosme , Jim Skulte , Ludwig Mathey

A cornerstone assumption that most literature on discrete time crystals has relied on is that homogeneous Floquet systems generally heat to a featureless infinite temperature state, an expectation that motivated researchers in the field to…

Disordered Systems and Neural Networks · Physics 2021-01-04 Andrea Pizzi , Daniel Malz , Giuseppe De Tomasi , Johannes Knolle , Andreas Nunnenkamp
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