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The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to…

强关联电子 · 物理学 2019-12-20 Konstantin B. Efetov

We introduce a local order metric (LOM) that measures the degree of order in the neighborhood of an atomic or molecular site in a condensed medium. The LOM maximizes the overlap between the spatial distribution of sites belonging to that…

计算物理 · 物理学 2018-02-21 Fausto Martelli , Hsin-Yu Ko , Erdal C. Oguz , Roberto Car

Due to the lack of long-range order, it remains challenging to characterize the structure of disordered solids and understand the nature of the glass transition. Here we propose a new structural order parameter by taking into account…

软凝聚态物质 · 物理学 2024-08-26 Ding Xu , Qinyi Liao , Ning Xu

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally…

量子气体 · 物理学 2025-02-12 Nitya Cuzzuol , Luca Barbiero , Arianna Montorsi

A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic…

数学物理 · 物理学 2007-05-23 Izumi Ojima

We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimension protected by an orientation reversing symmetry, using…

强关联电子 · 物理学 2024-10-22 Kansei Inamura , Ryohei Kobayashi , Shinsei Ryu

Since the dawn of quantum theory, coherence was attributed as a key to understand the weirdness of fundamental concepts like the wave-particle duality and the Stern-Gerlach experiment. Recently, based on a resource theory approach, the…

A stationary Boolean model is the union set of random compact particles which are attached to the points of a stationary Poisson point process. For a stationary Boolean model with convex grains we consider a recently developed collection of…

概率论 · 数学 2013-08-14 Julia Hörrmann , Daniel Hug , Michael Klatt , Klaus Mecke

Quantum entanglement is a particularly useful characterization of topological orders which lack conventional order parameters. In this work, we study the entanglement in topologically ordered states between two arbitrary spatial regions,…

强关联电子 · 物理学 2023-08-01 Chao Yin , Shang Liu

General conditions are formulated that allow to determine which quantum phase transitions in itinerant electron systems can be described by a local Landau-Ginzburg-Wilson or LGW theory solely in terms of the order parameter. A crucial…

统计力学 · 物理学 2008-12-18 D. Belitz , T. R. Kirkpatrick , Thomas Vojta

A new graph-based order parameter is introduced for the characterization of atomistic structures. The order parameter is universal to any material/chemical system, and is transferable to all structural geometries. Three sets of data are…

材料科学 · 物理学 2022-03-22 James Chapman , Nir Goldman , Brandon Wood

Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which…

高能物理 - 理论 · 物理学 2023-06-02 Matteo Baggioli , Yan Liu , Xin-Meng Wu

We introduce the theoretical framework we use to study the bewildering variety of phases in condensed--matter physics. We emphasize the importance of the breaking of symmetries, and develop the idea of an order parameter through several…

凝聚态物理 · 物理学 2009-09-25 James P. Sethna

Quantum convolutional neural networks (QCNNs) have been introduced as classifiers for gapped quantum phases of matter. Here, we propose a model-independent protocol for training QCNNs to discover order parameters that are unchanged under…

量子物理 · 物理学 2023-06-05 Yu-Jie Liu , Adam Smith , Michael Knap , Frank Pollmann

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

强关联电子 · 物理学 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

A central problem in multicomponent lattice systems is to systematically quantify multi-point ordering. Ordering in such systems is often described in terms of pairs, even though this is not sufficient when three-point and higher-order…

材料科学 · 物理学 2021-08-18 James M. Goff , Bryant Y. Li , Susan B. Sinnott , Ismaila Dabo

We report molecular dynamics calculations on two-component, cold (1.2 > T > 0.56 in natural units), three-dimensional Lennard-Jones fluids. Our system was small (7813 A, 7812 B particles), dense (N/V = 1.30), and distinctly finite (L \times…

软凝聚态物质 · 物理学 2009-11-11 Paul C. Whitford , George D. J. Phillies

Structure-property relationships in ordered materials have long been a core principle in materials design. However, the intentional introduction of disorder into materials provides structural flexibility and thus access to material…

We study the formulation of bond-orientational order in an arbitrary two dimensional geometry. We find that bond-orientational order is properly formulated within the framework of differential geometry with torsion. The torsion reflects the…

统计力学 · 物理学 2009-10-31 Mark Bowick , Alex Travesset

Quantum gas microscopy has developed into a powerful tool to explore strongly correlated quantum systems. However, discerning phases with topological or off-diagonal long range order requires the ability to extract these correlations from…

强关联电子 · 物理学 2024-08-09 Bo Xiao , Javier Robledo Moreno , Matthew Fishman , Dries Sels , Ehsan Khatami , Richard Scalettar