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We consider long strips of finite width $L \leq 13$ sites of ferromagnetic Ising spins with random couplings distributed according to the binary distribution: $P(J_{ij})= {1 \over 2} ( \delta (J_{ij} -J_0) + \delta (J_{ij} -rJ_0) ) ,\ 0 < r…

Condensed Matter · Physics 2009-10-28 S. L. A. de Queiroz , R. B. Stinchcombe

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Vinay Malvimat

We exploit the inherent entanglement of the ground state of a spin chain with dimerized XX or XXZ Hamiltonian to investigate the entanglement generation between the ends of the chain. We follow the strategy has been introduced in Ref. [14]…

Quantum Physics · Physics 2016-04-12 Morteza Rafiee , Hossein Mokhtari

We study multipartite entanglement measures for a one-dimensional Ising chain that is capable of showing both integrable and nonintegrable behaviour. This model includes the kicked transverse Ising model, which we solve exactly using the…

Quantum Physics · Physics 2009-11-10 Arul Lakshminarayan , V. Subrahmanyam

In this paper we show how an infinite system of coupled Toda-type nonlinear differential equations derived by one of us can be used efficiently to calculate the time-dependent pair-correlations in the Ising chain in a transverse field. The…

Statistical Mechanics · Physics 2015-05-13 Jacques H. H. Perk , Helen Au-Yang

We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends…

Disordered Systems and Neural Networks · Physics 2014-12-17 Elena Boniolo , Sergio Caracciolo , Andrea Sportiello

For oscillating time series, the prediction is often focused on the turning points. In order to predict the turning point magnitudes and times it is proposed to form the state space reconstruction only from the turning points and modify the…

Chaotic Dynamics · Physics 2009-11-13 D. Kugiumtzis

We give a new proof of correlation estimates for arbitrary moments of the resolvent of random Schr\"odinger operators on the lattice that generalizes and extends the correlation estimate of Minami for the second moment. We apply this moment…

Mathematical Physics · Physics 2009-11-13 Jean V. Bellissard , Peter D. Hislop , Günter Stolz

We study dynamical spin correlations in a dissipative XXZ spin chain subject to uniform local spin-loss and pumping. Starting from a mixed steady state that is featureless albeit possessing finite magnetization, rich dynamics emerges in…

Strongly Correlated Electrons · Physics 2026-05-07 Cătălin Paşcu Moca , Doru Sticlet , Ovidiu I. Pâţu , Balazs Dóra

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

Recent work on local functional theories of critical inhomogeneous fluids and Ising-like magnets has shown them to be a potentially exact, or near exact, description of universal finite-size effects associated with the excess free-energy…

Condensed Matter · Physics 2009-10-31 A. O. Parry , E. D. Macdonald , C. Rascon

We show that spin correlations of atoms in an optical lattice can be reconstructed by coupling the system to the light, and by measuring correlations between the emitted photons. This principle is the basis for a method to characterize…

Quantum Physics · Physics 2017-08-17 Ines de Vega , J. Ignacio Cirac , D. Porras

The effects of the charge/spin currents of conduction electrons on the dynamics of the localized spins are studied in terms of the perturbation in the exchange coupling $J_{K}$ between them. The equations of motion for the localized spins…

Other Condensed Matter · Physics 2009-11-11 Masaru Onoda , Naoto Nagaosa

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

Exactly Solvable and Integrable Systems · Physics 2011-11-10 A. I. Bugrij , O. Lisovyy

We develop a twistor-space framework to compute boundary correlators via a boundary limit of nested Penrose transforms in (A)dS$_4$. Starting from correlators of (anti-)self-dual bulk fields, the boundary limit reproduces the correlators of…

High Energy Physics - Theory · Physics 2025-11-05 Mariana Carrillo González , Théo Keseman

We calculate one- and two-point correlators of winding operators in the matrix model of 2D string theory compactified on a circle, recently proposed for the description of string dynamics on the 2D black hole background.

High Energy Physics - Theory · Physics 2014-11-18 Sergei Alexandrov , Vladimir Kazakov

Quantum dynamics with local interactions in lattice models display rich physics, but is notoriously hard to study. Dual-unitary circuits allow for exact answers to interesting physical questions in clean or disordered one- and…

Quantum Physics · Physics 2024-02-21 Xie-Hang Yu , Zhiyuan Wang , Pavel Kos

Spin chains with open boundaries, such as the transverse field Ising model, can display coherence times for edge spins that diverge with the system size as a consequence of almost conserved operators, the so-called strong zero modes. Here,…

Statistical Mechanics · Physics 2018-10-03 Loredana M. Vasiloiu , Federico Carollo , Juan P. Garrahan

Numerical results for the local field distributions of a family of Ising spin-glass models are presented. In particular, the Edwards-Anderson model in dimensions two, three, and four is considered, as well as spin glasses with long-range…

Disordered Systems and Neural Networks · Physics 2009-11-13 Stefan Boettcher , Helmut G. Katzgraber , David Sherrington

Strongly interacting one-dimensional fermions form an effective spin chain in the absence of an external lattice potential. We show that the exchange coefficients of such a chain may be locally tuned by properly tailoring the transversal…

Quantum Gases · Physics 2017-08-02 Frank Deuretzbacher , Luis Santos