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Efficient and automated classification of phases from minimally processed data is one goal of machine learning in condensed matter and statistical physics. Supervised algorithms trained on raw samples of microstates can successfully detect…

Statistical Mechanics · Physics 2018-01-31 Matthew J. S. Beach , Anna Golubeva , Roger G. Melko

Using a {\it collective} Monte Carlo algorithm we study the low-temperature and long-distance properties of two systems of two-dimensional classical tops. Both systems have the same spin-wave dynamics (low-temperature behavior) as a large…

Statistical Mechanics · Physics 2009-10-31 Michel Caffarel , Patrick Azaria , Bertrand Delamotte , Dominique Mouhanna

A network of optical parametric oscillators is used to simulate classical Ising and XY spin chains. The collective nonlinear dynamics of this network, driven by quantum noise rather than thermal fluctuations, seeks out the Ising / XY ground…

Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameters. The helical structure in this model arises from the…

Strongly Correlated Electrons · Physics 2020-08-20 A. O. Sorokin

We show how non-reciprocal ferromagnetic interactions between neighbouring planar spins in two dimensions, affect the behaviour of topological defects. Non-reciprocity is introduced by weighting the coupling strength of the two-dimensional…

Statistical Mechanics · Physics 2025-03-19 Ylann Rouzaire , Daniel JG Pearce , Ignacio Pagonabarraga , Demian Levis

Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

We analyze the convergence of the irreversible event-chain Monte Carlo algorithm for continuous spin models in the presence of topological excitations. In the two-dimensional XY model, we show that the local nature of the Markov-chain…

Statistical Mechanics · Physics 2018-09-13 Ze Lei , Werner Krauth

We study the XY model on a spherical surface inspired by recently realized spherically confined atomic gases. Instead of a traditional latitude-longitude lattice, we introduce a much more homogeneous spherical lattice, the Fibonacci…

Quantum Gases · Physics 2024-10-11 Chen-Hui Song , Qu-Cheng Gao , Xu-Yang Hou , Xin Wang , Zheng Zhou , Yan He , Hao Guo , Chih-Chun Chien

This study proposes a novel approach to extract topological properties, specifically the Euler characteristic, from input images using neural networks without relying on large pre-existing datasets but with a single geometric image.…

Machine Learning · Computer Science 2026-05-06 Gyunghun Yu , Seong Min Park , Han Gyu Yoon , Tae Jung Moon , Jun Woo Choi , Hee Young Kwon , Changyeon Won

Many-body spin systems represent a paradigmatic platform for the realization of emergent states of matter in a strongly interacting regime. Spin models are commonly studied in one-dimensional periodic chains, whose lattice constant is on…

Mesoscale and Nanoscale Physics · Physics 2019-10-08 J. L. Lado , Oded Zilberberg

One of the main challenges in the parametrization of geological models is the ability to capture complex geological structures often observed in the subsurface. In recent years, generative adversarial networks (GAN) were proposed as an…

Machine Learning · Statistics 2019-04-10 Shing Chan , Ahmed H. Elsheikh

The present work is devoted to the investigation of the interaction between vortices (topological defects) and site-impurities (structural defects) in the 2D XY model and its influence on the well-known properties of the pure system. The…

Statistical Mechanics · Physics 2009-11-13 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

Applying artificial intelligence to scientific problems (namely AI for science) is currently under hot debate. However, the scientific problems differ much from the conventional ones with images, texts, and etc., where new challenges…

Machine Learning · Statistics 2022-08-09 Xiao-Han Wang , Pei Shi , Bin Xi , Jie Hu , Shi-Ju Ran

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

We investigate two-dimensional frustrated Heisenberg magnets using non-perturbative renormalization group techniques. These magnets allow for point-like topological defects which are believed to unbind and drive either a crossover or a…

Statistical Mechanics · Physics 2014-11-27 N. Hasselmann , A. Sinner

We theoretically investigate the motion of a domain wall and a vortex in type-II superconductors driven by inhomogeneities of temperature or spin density. The model consists of the time-dependent Ginzburg-Landau equation and the…

Superconductivity · Physics 2026-02-26 Takuma Kanakubo , Hiroto Adachi , Masanori Ichioka , Yusuke Kato

Topological defects in active polar fluids exhibit complex dynamics driven by internally generated stresses, reflecting the deep interplay between topology, flow, and non-equilibrium hydrodynamics. Feedback control offers a powerful means…

Soft Condensed Matter · Physics 2025-07-28 Abhinav Singh , Petros Koumoutsakos

Topological defects (such as monopoles, vortex lines, or domain walls) mark locations where disparate choices of a broken symmetry vacuum elsewhere in the system lead to irreconcilable differences. They are energetically costly (the energy…

Quantum Physics · Physics 2012-08-31 Jacek Dziarmaga , Wojciech H. Zurek , Michael Zwolak

Physical spin configurations corresponding to topological excitations, expected to be present in the XY limit of a quantum spin 1/2 Heisenberg anti-ferromagnet, are probed on a two dimensional square lattice . Quantum vortices…

Statistical Mechanics · Physics 2015-05-13 Ranjan Chaudhury , Samir K. Paul

In an array of coupled cavities where the cavities are doped with an atomic V-system, and the two excited levels couple to cavity photons of different polarizations, we show how to construct various spin models employed in characterizing…

Quantum Physics · Physics 2009-11-13 Alastair Kay , Dimitris G. Angelakis
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