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Exact analytic calculations in spin-1/2 XY chains, show the presence of long-time tails in the asymptotic dynamics of spatially inhomogeneous excitations. The decay of inhomogeneities, for $t\to \infty $, is given in the form of a power law…

Statistical Mechanics · Physics 2009-11-07 G. O. Berim , S. Berim , G. G. Cabrera

The strong system-bath correlation is a typical initial condition in many condensed matter and some quantum optical systems. Here, the dynamics of a spin interacting with a spin bath through an intermediate spin are studied. Initial…

Quantum Physics · Physics 2014-01-30 V. Semin , I. Sinayskiy , F. Petruccione

We study the asymptotic behaviour of a real-valued diffusion whose non-regular drift is given as a sum of a dissipative term and a bounded measurable one. We prove that two trajectories of that diffusion converge a.s. to one another at an…

Probability · Mathematics 2020-11-23 Olga Aryasova , Andrey Pilipenko , Sylvie Roelly

We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb_2MnF_4. The measured correlation lengths are quantitatively described, with no…

Strongly Correlated Electrons · Physics 2009-10-31 Y. S. Lee , M. Greven , B. O. Wells , R. J. Birgeneau , G. Shirane

In this paper we investigate the nonlocal correlation (beyond entanglement) captured by measurement induced nonlocality and geometric quantum discord for a pair of interacting spin-1/2 particles at thermal equilibrium. It is shown that both…

Quantum Physics · Physics 2017-10-11 R. Muthuganesan , R. Sankaranarayanan

The static and dynamic properties of the anisotropic XY-model $(s=1/2)$ on the inhomogeneous periodic chain, composed of $N$ cells with $n$ different exchange interactions and magnetic moments, in a transverse field $h,$ are determined…

Statistical Mechanics · Physics 2009-11-13 J. P. de Lima , L. L. Goncalves , T. F. A. Alves

Using a numerically exact technique we study spin transport and the evolution of spin-density excitation profiles in a disordered spin-chain with long-range interactions, decaying as a power-law, $r^{-\alpha}$ with distance and $\alpha<2$.…

Disordered Systems and Neural Networks · Physics 2020-09-02 Benedikt Kloss , Yevgeny Bar Lev

We present numerical results for the antiferromagnetic Heisenberg model (AFHM) that definitively confirm that chiral perturbation theory, corrected for cutoff effects in the AFHM, leads to a correct field-theoretical description of the…

Strongly Correlated Electrons · Physics 2015-06-25 B. B. Beard , V. Chudnovsky , P. Keller-Marxer

We study zero temperature spin dynamics of a particle confined to a ring in presence of spin orbit coupling and Ohmic electromagnetic fluctuations. We show that the dynamics of the angular position $\theta(t)$ are decoupled from the spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 B. Horovitz , P. Le Doussal , G. Zarand

Considering an example of the long-range Kitaev model, we are looking for a correlation length in a model with long range interactions whose correlation functions away from a critical point have power-law tails instead of the usual…

Strongly Correlated Electrons · Physics 2021-07-07 Debasis Sadhukhan , Jacek Dziarmaga

We study a Y junction of spin-1/2 Heisenberg chains with an interaction that breaks both time-reversal and chain exchange symmetries, but not their product nor SU(2) symmetry. The boundary phase diagram features a stable disconnected fixed…

Strongly Correlated Electrons · Physics 2019-03-25 F. Buccheri , R. Egger , R. G. Pereira , F. B. Ramos

Using numerical diagonalization techniques, we explore the effect of local and bond disorder on the finite temperature spin and thermal conductivities of the one dimensional anisotropic spin-1/2 Heisenberg model. High-temperature results…

Strongly Correlated Electrons · Physics 2009-02-02 A. Karahalios , A. Metavitsiadis , X. Zotos , A. Gorczyca , P. Prelovšek

We proposed an analytical expression for the amplitude defining the long distance asymptotic of the correlation function <\sigma^z_k \sigma^z_{k+n}>.

Statistical Mechanics · Physics 2009-10-31 S. Lukyanov

The decay of (disorder-averaged) static spin correlation functions at T=0 for the one-dimensional spin-1/2 XXZ antiferromagnet with uniform longitudinal coupling $J\Delta$ and random transverse coupling $J\lambda_i$ is investigated by…

Condensed Matter · Physics 2009-10-28 Heinrich Röder , Joachim Stolze , Richard N. Silver , Gerhard Müller

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

Two-dimensional $CP^{N-1}$ models are investigated by Monte Carlo methods on the lattice, for values of $N$ ranging from 2 to 21. Scaling and rotation invariance are studied by comparing different definitions of correlation length $\xi$.…

High Energy Physics - Lattice · Physics 2009-10-22 Massimo Campostrini , Paolo Rossi , Ettore Vicari

We study the properties of multipartite quantum correlation (MQC) in a one-dimensional spin-1/2 $XY$ chain, where the three-spin reduced states are focused on and the four introduced MQC measures are based on entanglement negativity and…

Quantum Physics · Physics 2023-11-09 Lin-Lin Su , Jun Ren , Z. D. Wang , Yan-Kui Bai

We study the evolution of entanglement, quantum correlation and classical correlation for the one dimensional XY model in external transverse magnetic field. The system is initialized in the full polarized state along the z axis, after…

Quantum Physics · Physics 2010-10-22 Rong-Chun Ge , Chuan-Feng Li , Guang-Can Guo

We investigate the presence of multipartite entanglement in macroscopic spin chains. We discuss the Heisenberg and the XY model and derive bounds on the internal energy for systems without multipartite entanglement. Based on this we show…

Quantum Physics · Physics 2007-05-23 Otfried Guehne , Geza Toth , Hans J. Briegel

Using the determinant representation for the field-field correlation functions of impenetrable anyons at finite temperature obtained in a previous paper, we derive a system of nonlinear partial differential equations completely…

Statistical Mechanics · Physics 2015-05-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin