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We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

A common issue when analyzing real-world complex systems is that the interactions between the elements often change over time: this makes it difficult to find optimal models that describe this evolution and that can be estimated from data,…

统计金融 · 定量金融 2021-08-04 Carlo Campajola , Domenico Di Gangi , Fabrizio Lillo , Daniele Tantari

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

统计力学 · 物理学 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

Relaxational processes in ordered phases of one-dimensional Ising models with long-range interactions are investigated by Monte Carlo simulations. Three types of spin model, the pure ferromagnetic, the diluted ferromagnetic, and the spin…

统计力学 · 物理学 2017-01-04 Yusuke Tomita

An alternative model for a description of magnetization processes in coupled 2D spin-electron systems has been introduced and rigorously examined using the generalized decoration-iteration transformation and the corner transfer matrix…

强关联电子 · 物理学 2018-03-14 Hana Čenčariková , Jozef Strečka , Andrej Gendiar

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

统计力学 · 物理学 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

The site-decorated Ising model is introduced to advance the understanding and experimental realization of the recently discovered one-dimensional (1D) finite-temperature ultranarrow phase crossover in an external magnetic field, while…

统计力学 · 物理学 2026-03-12 Weiguo Yin

We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a…

统计力学 · 物理学 2024-01-02 Umar Javed , Jamir Marino , Vadim Oganesyan , Michael Kolodrubetz

We investigate the efficient learning of magnetic phases using artificial neural networks trained on synthetic data, combining computational simplicity with physics-informed strategies. Focusing on the diluted Ising model, which lacks an…

强关联电子 · 物理学 2026-04-29 Agustin Medina , Marcelo Arlego , Carlos A. Lamas

I investigate the motion of a single hole in 2D spin lattices with square and triangular geometries. While the spins have nearest neighbor Ising spin couplings $J$, the hole is allowed to move only in 1D along a single line in the 2D…

强关联电子 · 物理学 2024-08-15 K. Knakkergaard Nielsen

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

神经元与认知 · 定量生物学 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

统计力学 · 物理学 2024-12-11 István Csépányi , Márton Kormos

After discussing the relevance of statistical physics in molecular recognition processes, we present a schematic model for ligand-receptor association based on an Ising chain. We discuss the possible behaviors of the affinity when the…

软凝聚态物质 · 物理学 2010-04-09 Fabrice Thalmann

The Ising model, in presence of an external magnetic field, is isomorphic to a model of localized interacting particles satisfying the Fermi statistics. By using this isomorphism, we construct a general solution of the Ising model which…

强关联电子 · 物理学 2007-05-23 Ferdinando Mancini

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising…

高能物理 - 理论 · 物理学 2012-08-27 Valentin Bonzom , Razvan Gurau , Vincent Rivasseau

We propose a method to probe time dependent correlations of non trivial observables in many-body ultracold lattice gases. The scheme uses a quantum non-demolition matter-light interface, first, to map the observable of interest on the many…

量子物理 · 物理学 2012-02-14 O. Romero-Isart , M. Rizzi , C. A. Muschik , E. S. Polzik , M. Lewenstein , A. Sanpera

Non-deterministic polynomial-time (NP) problems are ubiquitous in almost every field of study. Recently, all-optical approaches have been explored for solving classic NP problems based on the spin-glass Ising Hamiltonian. However, obtaining…

无序系统与神经网络 · 物理学 2025-12-15 Louis Delloye , Gianni Jacucci , Raj Pandya , Davide Pierangeli , Claudio Conti , Sylvain Gigan

A coherent Ising machine (CIM) is known to deliver the low-energy states of the Ising model. Here, we investigate how well the CIM simulates the thermodynamic properties of a two-dimensional square-lattice Ising model. Assuming that the…

In a previous work, the n-vicinity method for approximate calculation of the partition function of a spin system was proposed. The equation of state was obtained in the most general form. In the present paper, we analyze the applicability…

无序系统与神经网络 · 物理学 2017-02-01 Boris Kryzhanovsky , Leonid Litinskii

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

统计力学 · 物理学 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi