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We consider a one-dimensional spin chain for which the ground state is the cluster state, capable of functioning as a quantum computational wire when subjected to local adaptive measurements of individual qubits, and investigate the…

量子物理 · 物理学 2009-08-13 Stein Olav Skrøvseth , Stephen D. Bartlett

In many frustrated Ising models, a single-spin flip dynamics is frozen out at low temperatures compared to the dominant interaction energy scale because of the discrete "multiple valley" structure of degenerate ground-state manifold. This…

统计力学 · 物理学 2010-10-20 Hiroshi Shinaoka , Yukitoshi Motome

In this paper, we study the effect of dependence on detecting a class of signals in Ising models, where the signals are present in a structured way. Examples include Ising Models on lattices, and Mean-Field type Ising Models…

概率论 · 数学 2020-12-11 Nabarun Deb , Rajarshi Mukherjee , Sumit Mukherjee , Ming Yuan

We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic interactions and long range, power law decaying, antiferromagnetic interactions. If the strength of the ferromagnetic coupling J is larger than a…

统计力学 · 物理学 2014-02-21 Alessandro Giuliani , Elliott H. Lieb , Robert Seiringer

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

统计力学 · 物理学 2022-08-17 Jamir Marino

We investigate the geometry of a typical spin cluster in random triangulations sampled with a probability proportional to the energy of an Ising configuration on their vertices, both in the finite and infinite volume settings. This model is…

概率论 · 数学 2022-01-31 Marie Albenque , Laurent Ménard

Generalized Ising models, also known as cluster expansions, are an important tool in many areas of condensed-matter physics and materials science, as they are often used in the study of lattice thermodynamics, solid-solid phase transitions,…

统计力学 · 物理学 2016-06-27 Wenxuan Huang , Daniil Kitchaev , Stephen Dacek , Ziqin Rong , Zhiwei Ding , Gerbrand Ceder

We study the probability distribution function of the ground-state energies of the disordered one-dimensional Ising spin chain with power-law interactions using a combination of parallel tempering Monte Carlo and branch, cut, and price…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Mathias Koerner , Frauke Liers , Michael Juenger , A. K. Hartmann

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

统计力学 · 物理学 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen

We present a detailed theoretical overview of the thermodynamic properties of the dipolar spin ice model, which has been shown to be an excellent quantitative descriptor of the Ising pyrochlore materials Dy_2Ti_2O_7 and Ho_2Ti_2O_7. We show…

无序系统与神经网络 · 物理学 2015-06-24 Roger G. Melko , Matthew Enjalran , Byron C. den Hertog , Michel. J. P. Gingras

We investigated numerically an Ising model coupled to two-dimensional Euclidean gravity with spherical topology, using Regge calculus with the $dl/l$ path-integral measure to discretize the gravitational interaction. Previous studies of…

高能物理 - 格点 · 物理学 2009-10-28 Christian Holm , Wolfhard Janke

We propose a new method for exact analytical calculation of the ground-state energy of the Ising spin glass on strips. An outstanding advantage of this method over the numerical transfer matrix technique is that the energy is obtained for…

凝聚态物理 · 物理学 2009-10-28 Tadashi Kadowaki , Yoshihiko Nonomura , Hidetoshi Nishimori

The scaling of fluctuations in the distribution of ground-state energies or costs with the system size N for Ising spin glasses is considered using an extensive set of simulations with the Extremal Optimization heuristic across a range of…

无序系统与神经网络 · 物理学 2022-05-20 Stefan Boettcher

We study the zero temperature phase diagram of Ising spin systems in two dimensions in the presence of competing interactions, long range antiferromagnetic and nearest neighbor ferromagnetic of strength J. We first introduce the notion of a…

统计力学 · 物理学 2013-05-29 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These…

量子物理 · 物理学 2007-05-23 S. Anders , M. B. Plenio , W. Dür , F. Verstraete , H. -J. Briegel

The Ising model on an infinite generic tree is defined as a thermodynamic limit of finite systems. A detailed description of the corresponding distribution of infinite spin configurations is given. As an application we study the…

统计力学 · 物理学 2015-05-28 Bergfinnur Durhuus , George M. Napolitano

The ground-state degeneracy and magnetocaloric effect in the spin-$1/2$ Ising-Heisenberg double-tetrahedral chain are exactly investigated. It is demonstrated that the zero-temperature phase diagram involves two classical and two quantum…

统计力学 · 物理学 2019-02-26 Lucia Galisova , Dusan Knezo

We review the problem of determining the ground states of 2D Ising models with nearest neighbor ferromagnetic and dipolar interactions, and prove a new result supporting the conjecture that, if the nearest neighbor coupling $J$ is…

数学物理 · 物理学 2022-08-01 Davide Fermi , Alessandro Giuliani

The coverage of vicinal, stepped surfaces with molecules is simulated with the help of a two-dimensional Ising model including local distortions and an Ehrlich-Schwoebel barrier term at the steps. An effective two-spin model is capable to…

统计力学 · 物理学 2015-06-25 K. Morawetz , C. Olbrich , S. Gemming , M. Schreiber

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as spontaneous symmetry breaking and…

高能物理 - 理论 · 物理学 2007-05-23 Gesualdo Delfino