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We introduce the time glass, a non-periodic analogue of the discrete time crystal that arises in periodically driven dissipative quantum many-body systems. This phase is defined by two key features: (i) spatial long-range order arising from…

Statistical Mechanics · Physics 2026-03-11 Taiki Haga

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

Glasses at low temperature fluctuate around their inherent states; glassy anomalies reflect the structure of these states. Recently there have been numerous observations of long-range stress correlations in glassy materials, from…

Disordered Systems and Neural Networks · Physics 2018-09-12 E. DeGiuli

Difficulties around the idea of spontaneous breaking of time translation symmetry in a closed quantum mechanical system are identified, and then overcome in a simple model. The possibility of ordering in imaginary time is also discussed.

Quantum Physics · Physics 2015-06-04 Frank Wilczek

A definition of structural diversity, adapted from the biodiversity literature, is introduced to provide a general characterization of structures of condensed matter. Using the Favored Local Structure (FLS) lattice model as a testbed, the…

Materials Science · Physics 2024-08-16 Yueran Wang , Peter Harrowell

Glasses are ubiquitous in daily life and technology. However the microscopic mechanisms generating this state of matter remain subject to debate: Glasses are considered either as merely hyper-viscous liquids or as resulting from a genuine…

Disordered Systems and Neural Networks · Physics 2016-06-14 S. Albert , Th. Bauer , M. Michl , G. Biroli , J. -P. Bouchaud , A. Loidl , P. Lunkenheimer , R. Tourbot , C. Wiertel-Gasquet , F. Ladieu

We use a random pinning procedure to investigate stable glassy states associated with large deviations of the activity in a model glass-former. We pin particles both from active (equilibrium) configurations and from stable (inactive) glassy…

Statistical Mechanics · Physics 2014-07-02 Christopher J. Fullerton , Robert L. Jack

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Coherence and correlations represent two related properties of a compound system. The system can be, for instance, the polarization of a photon, which forms part of a polarization-entangled two-photon state, or the spatial shape of a…

Quantum Physics · Physics 2015-12-01 Jiří Svozilík , Adam Vallés , Jan Peřina , Juan P. Torres

Quasicrystals are solid structures with symmetry forbidden by crystallographic rules. Because of this some structural characteristics of quasicrystals, for instance, radial distribution function, can look similar to the ones of amorphous…

Soft Condensed Matter · Physics 2019-07-30 Yu. D. Fomin

Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

Quasicrystals are unique materials characterized by long-range order without periodicity. They are observed in systems such as metallic alloys, soft matter, and particle simulations. Unlike periodic crystals, which are invariant under…

Computational Physics · Physics 2024-11-14 Nydia Roxana Varela-Rosales , Michael Engel

This is a commentary on two recent experimental papers in PNAS by Vivek et al. and Illing et al. that convincingly address an issue at the junction of two fundamental questions in glass physics: the role of the dimensionality of space on…

Statistical Mechanics · Physics 2022-06-08 Gilles Tarjus

We provide a brief survey of quantum statistical characterisations of order, disorder and coherence in systems of many degrees of freedom. Here, order and coherence are described in terms of symmetry breakdown, while disorder is described…

Mathematical Physics · Physics 2007-11-22 Geoffrey Sewell

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

Statistical Mechanics · Physics 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

The persistent problem posed by the glass transition is to develop a general atomic level description of a solidification process that is not associated with any change in the symmetry of the atomic structure. The answer proposed in this…

Soft Condensed Matter · Physics 2022-07-20 Gang Sun , Peter Harrowell

Understanding and controlling physical aging, i.e. the spontaneous temporal evolution of out-of-equilibrium systems, represents one of the greatest tasks in material science. Recent studies have revealed the existence of a complex atomic…

Materials Science · Physics 2016-02-17 V. M. Giordano , B. Ruta

Time crystals are quantum many-body systems which, due to interactions between particles, are able to spontaneously self-organize their motion in a periodic way in time by analogy with the formation of crystalline structures in space in…

Quantum Gases · Physics 2018-04-04 Krzysztof Giergiel , Artur Miroszewski , Krzysztof Sacha

We review recent progress in applying information- and computation-theoretic measures to describe material structure that transcends previous methods based on exact geometric symmetries. We discuss the necessary theoretical background for…

Materials Science · Physics 2014-11-12 Dowman P. Varn , James P. Crutchfield