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Continuous time crystals (CTCs) - media with broken continuous time translation symmetry - are an eagerly sought state of matter that spontaneously transition from a time-independent state to one of periodic motion in response to a small…

Deterministic many-body systems governed by simple interactions can self-organize into macroscopic patterns, and the determinants of long-time behavior are assumed to be encoded in the initial configuration. Here we show that predictability…

Biological Physics · Physics 2026-04-02 Lars Koopmans , Elinor M. Kay , Hyun Youk

We show that dense active fluids comprising interacting particles with persistent self-propulsion are driven to a non-equilibrium steady state consisting of co-moving particles with co-aligned active forces. This velocity and force sorting…

Soft Condensed Matter · Physics 2025-09-03 Suman Dutta , Pinaki Chaudhuri , Madan Rao , Chandan Dasgupta

We study plasmonic time crystals, an extension of dielectric-based photonic time crystals to plasmonic media. Remarkably, we demonstrate that such systems may amplify both longitudinal and transverse modes. In particular, we show that…

In analogy with crystalline solids around us, Wilczek recently proposed the idea of "time crystals" as phases that spontaneously break the continuous time translation into a discrete subgroup. The proposal stimulated further studies and…

Statistical Mechanics · Physics 2015-06-26 Haruki Watanabe , Masaki Oshikawa

We propose an experiment with a driven quantum gas coupled to a dissipative optical cavity that realizes a novel kind of far-from-equilibrium phase transition between spatial and temporal order. The control parameter of the transition is…

Quantum Gases · Physics 2022-05-04 Zhao Zhang , Davide Dreon , Tilman Esslinger , Dieter Jaksch , Berislav Buca , Tobias Donner

Pair interaction potentials between atoms in a crystal are in general non-monotonic in distance, with a local minimum whose position gives the lattice constant of the crystal. A temporal analogue of this idea of crystal formation is still…

Atomic Physics · Physics 2025-05-01 Weiyu Wang , Mingjun Feng , Qianjin Ma , Zi Cai , Erwei Li , Guobin Liu

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

The kinetic mechanisms underlying bottom-up assembly of colloidal particles have been widely investigated in efforts to control crystallization pathways and to direct growth into targeted superstructures for applications including photonic…

Materials Science · Physics 2020-08-28 Xian-Qi Xu , Brian B. Laird , Jeffrey J. Hoyt , Mark Asta , Yang Yang

A discrete time crystal (DTC) is the paradigmatic example of a phase of matter that occurs exclusively in systems out of equilibrium. This phenomenon is characterized by the spontaneous symmetry breaking of discrete time-translation and…

We present a high-order method for flow simulation on unstructured curved nonconforming sliding meshes. This method utilizes dynamic transfinite mortar elements to exchange flow information between the two sides of a sliding interface. The…

Numerical Analysis · Mathematics 2021-07-28 Bin Zhang , Chunlei Liang

Crystals arise as the result of the breaking of a spatial translation symmetry. Similarly, translation symmetries can also be broken in time so that discrete time crystals appear. Here, we introduce a method to describe, characterize, and…

Quantum Physics · Physics 2020-11-13 M. P. Estarellas , T. Osada , V. M. Bastidas , B. Renoust , K. Sanaka , W. J. Munro , K. Nemoto

Time crystals are proposed states of matter which spontaneously break time translation symmetry. There is no settled definition of such states. We offer a new definition which follows the traditional recipe for Wigner symmetries and order…

Statistical Mechanics · Physics 2017-09-27 Vedika Khemani , C. W. von Keyserlingk , S. L. Sondhi

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

Physics and Society · Physics 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Spontaneous time-reversal symmetry breaking in superconductors with competing non-degenerate pairing channels is an exotic quantum phase transition that could give rise to robust topological superconductivity and unusual magnetism. It is…

Superconductivity · Physics 2026-04-03 Yin Shi

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

Transitions from reversible to irreversible or fluctuating states above a critical density and shear amplitude have been extensively studied in non-thermal cyclically sheared suspensions and amorphous solids. Here, we propose that the same…

Statistical Mechanics · Physics 2026-01-21 C. Reichhardt , C. J. O. Reichhardt

Spontaneous symmetry breaking is responsible for rich quantum phenomena from crystalline structures to superconductivity. This concept was boldly extended to the breaking of time translation, opening an avenue to finding exotic phases of…

Quantum Gases · Physics 2020-05-05 Zi Cai , Yizhen huang , W. Vincent Liu

We study singularities in the large deviation function of the time-averaged current of diffusive systems connected to two reservoirs. A set of conditions for the occurrence of phase transitions, both first and second order, are obtained by…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

Cells control fluid flows with a spatial and temporal precision that far exceeds the capabilities of current microfluidic technologies. Cells achieve this superior spatio-temporal control by harnessing dynamic networks of cytoskeleton and…

Soft Condensed Matter · Physics 2025-05-26 Fan Yang , Shichen Liu , Heun Jin Lee , Rob Phillips , Matt Thomson