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Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the…

Disordered Systems and Neural Networks · Physics 2009-03-15 Neşe Aral , A. Nihat Berker

Spin correlation functions (up to the 3-site one) of disordered Ising model with the nearest neighbour interaction are calculated and investigated within a two-site cluster approximation for both quenched and annealed cases. The approach…

Condensed Matter · Physics 2007-05-23 R. R. Levitskii , S. I. Sorokov

We study entanglement and spin squeezing in the ground state of three qubits interacting via the transverse Ising model. We give analytical results for the entanglement and spin squeezing, and a quantitative relation between the…

Quantum Physics · Physics 2016-09-08 XiaoGuang Wang

In a large transverse field, there is an energy cost associated with flipping spins along the axis of the field. This penalty can be employed to relate the transverse-field Ising model in a large field to the XY model in no field (when…

Quantum Gases · Physics 2018-02-14 Thomas G. Kiely , J. K. Freericks

The critical behavior of the random transverse-field Ising model in finite dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder…

Disordered Systems and Neural Networks · Physics 2018-03-28 Ferenc Iglói , István A. Kovács

We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial…

High Energy Physics - Lattice · Physics 2009-10-28 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

Using the variational formula for operator product coefficients a method for perturbative calculation of the short-distance expansion of the Spin-Spin correlation function in the two dimensional Ising model is presented. Results of explicit…

High Energy Physics - Theory · Physics 2009-10-22 B. Mikhak , A. M. Zarkesh

Magnetic properties of the 1D mixed spin-1/2 and spin-S (S >1/2) transverse Ising model in the presence of an external longitudinal magnetic field are calculated exactly by the use of the generalised decoration-iteration mapping…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka , Hana Cencarikova , Michal Jascur

We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , L. W. Lee

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

Statistical Mechanics · Physics 2009-11-07 B. Schmittmann , F. Schmueser

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated…

Statistical Mechanics · Physics 2017-08-23 Viliam Štubňa , Michal Jaščur

We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field.…

Strongly Correlated Electrons · Physics 2015-05-30 Igor Lesanovsky

The evolution of entanglement in a one-dimensional Ising chain is numerically studied under various initial conditions. We analyze two problems concerning the dynamics of the entanglement: (i) generation of the entanglement from the…

Quantum Physics · Physics 2009-11-13 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and…

Strongly Correlated Electrons · Physics 2015-06-04 Louis-Paul Henry , Peter C. W. Holdsworth , Frédéric Mila , Tommaso Roscilde

The method for calculation of the correlation functions of the Ising-type systems with short-range interaction and with arbitrary value of spin is developed within cluster approximation. For the Ising model (spin $S^z=\pm1$) the expressions…

Condensed Matter · Physics 2007-05-23 R. R. Levitskii , S. I. Sorokov

We study two-dimensional Ising spins, evolving through reinforcement learning using their state, action, and reward. The state of a spin is defined as whether it is in the majority or minority with its nearest neighbours. The spin updates…

Statistical Mechanics · Physics 2022-11-22 Pranay Bimal Sampat , Ananya Verma , Riya Gupta , Shradha Mishra

We study the transverse-field Ising model with infinite-range coupling and spontaneous emission on every site. We find that there is spin squeezing in steady state due to the presence of the transverse field. This means that there is still…

Quantum Physics · Physics 2013-12-05 Tony E. Lee , Ching-Kit Chan

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

A remarkably long-lived spin plasmon may exist in two-dimensional electron liquids with imbalanced spin up and spin down population. Predictions for this interesting mode by Agarwal et al. [Phys. Rev. B 90, 155409 (2014)] are based on the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Dominik Kreil , Raphael Hobbiger , Jürgen T. Drachta , Helga M. Böhm
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