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Disordered hyperuniform packings are unusual amorphous states of two-phase materials that are endowed with exotic physical properties. Such hyperuniform systems are characterized by an anomalous suppression of volume-fraction fluctuations…

Soft Condensed Matter · Physics 2019-06-04 Jaeuk Kim , Salvatore Torquato

We present a technique for derandomising large deviation bounds of functions on the unitary group. We replace the Haar distribution with a pseudo-random distribution, a k-design. k-designs have the first k moments equal to those of the Haar…

Quantum Physics · Physics 2015-05-13 Richard A. Low

We present an algorithm of quantum engineering of large-amplitude>5 high-fidelity>0.99 even/odd Schrodinger cat states (SCSs) using a single mode squeezed vacuum (SMSV) state as resource. Set of k beam splitters (BSs) with arbitrary…

Quantum Physics · Physics 2022-12-20 Mikhail S. Podoshvedov , Sergey A. Podoshvedov , Sergei P. Kulik

Real collective density variables $C(\boldsymbol{k})$ [c.f. Eq.\ref{Equation3})] in many-particle systems arise from non-linear transformations of particle positions, and determine the structure factor $S(\boldsymbol{k})$, where $\bf k$…

Statistical Mechanics · Physics 2009-11-11 Obioma Uche , Salvatore Torquato , Frank Stillinger

In previous work [Phys. Rev. X 5, 021020 (2015)], it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier-space in the sense that the the structure factor is exactly zero in a spherical region around the…

Statistical Mechanics · Physics 2024-04-30 Peter K. Morse , Paul J. Steinhardt , Salvatore Torquato

We relate the structure factor $S(\mathbf{k} \to \mathbf{0})$ in a system of jammed hard spheres of number density $\rho$ to its complexity per particle $\Sigma(\rho)$ by the formula $S(\mathbf{k} \to \mathbf{0})=-1/…

Disordered Systems and Neural Networks · Physics 2018-08-21 M. J. Godfrey , M. A. Moore

Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, endowing them with novel physical properties. While such unusual…

Soft Condensed Matter · Physics 2019-03-12 Jaeuk Kim , Salvatore Torquato

We provide numerical constructions of one-dimensional hyperuniform many-particle distributions that exhibit unusual clustering and asymptotic local number density fluctuations growing more slowly than the volume of an observation window but…

Statistical Mechanics · Physics 2013-05-29 Chase E. Zachary , Salvatore Torquato

Super-resolution (SR) is a promising tool for generating high-fidelity simulations of physical systems from low-resolution data, enabling fast and accurate predictions in engineering applications. However, existing deep-learning based SR…

Machine Learning · Computer Science 2025-02-17 Pengyu Zhang , Connor Duffin , Alex Glyn-Davies , Arnaud Vadeboncoeur , Mark Girolami

Disordered many-particle hyperuniform systems are exotic amorphous states of matter that lie between crystals and liquids. Hyperuniform systems have attracted recent attention because they are endowed with novel transport and optical…

Soft Condensed Matter · Physics 2017-08-23 Zheng Ma , Salvatore Torquato

Disordered hyperuniform systems are exotic states of matter that completely suppress large-scale density fluctuations like crystals, and yet possess no Bragg peaks similar to liquids or glasses. Such systems have been discovered in a…

Soft Condensed Matter · Physics 2021-11-10 Duyu Chen , Yu Zheng , Yang Jiao

Disordered hyperuniform (DHU) materials are an emerging class of exotic heterogeneous material systems characterized by a unique combination of disordered local structures and a hidden long-range order, which endow them with unusual…

Materials Science · Physics 2025-04-11 Liyu Zhong , Sheng Mao , Yang Jiao

For classical discrete systems under constant composition, statistical mechanics tells us that a set of microscopic state dominantly contributing to thermodynamically equilibrium state should depend on temperature as well as on many-body…

Statistical Mechanics · Physics 2019-09-20 Koretaka Yuge , Shouno Ohta

The numerical conditions to generate a high-fidelity Yurke-Stoler states ($|\alpha>+ e^{i \psi} |-\alpha>$)were found for two cascade-placed beam splitters with one squeezed state input and two coherent state inputs. Controlling the…

Optics · Physics 2015-06-23 Sun-Hyun Youn

Hyperuniform structures possess the ability to confine and drive light, although their fabrication is extremely challenging. Here we demonstrate that speckle patters obtained by a superposition of randomly arranged sources of Bessel beams…

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a…

Statistical Mechanics · Physics 2017-01-02 G. Zhang , F. H. Stillinger , S. Torquato

Advancements in theoretical and algorithmic approaches, workflow engines, and an ever-increasing computational power have enabled a novel paradigm for materials discovery through first-principles high-throughput simulations. A major…

We present a machine-learning model for generating super-resolution $N$-body simulations with non-vanishing spatial curvature, conditioned on a given low-resolution field, $\Omega_k$, $\Omega_\mathrm{m}$, $\sigma_8$, $h$, and redshift. By…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Dennis Fremstad , Julian Adamek , David F. Mota

Materials featuring anomalous suppression of density fluctuations over large length scales are emerging systems known as disordered hyperuniform. The underlying hidden order renders them appealing for several applications, such as light…

We present our novel evolutionary algorithm for generating Special Quasirandom Structures (SQS) designed to optimize the computational efficiency of Density Functional Theory (DFT) computations. Operating on the premise that symmetry…

Disordered Systems and Neural Networks · Physics 2026-02-12 Andrzej P. Kądzielawa