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We study the ground state entanglement entropy of the quantum Dyson hierarchical spin chain in which the interaction decays algebraically with the distance as $r^{-1-\sigma}$. We exploit the real-space renormalisation group solution which…

统计力学 · 物理学 2019-07-17 Silvia Pappalardi , Pasquale Calabrese , Giorgio Parisi

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

统计力学 · 物理学 2011-02-16 John Cardy , Pasquale Calabrese

The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent…

无序系统与神经网络 · 物理学 2014-09-12 Michele Castellana , Giorgio Parisi

We address the issue of universality in two-dimensional disordered Ising systems, by considering long, finite-width strips of ferromagnetic Ising spins with randomly distributed couplings. We calculate the free energy and spin-spin…

凝聚态物理 · 物理学 2009-10-28 F. D. A. Aarão Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

Recently we constructed a renormalizable field theory up to two loops for the quasi-static depinning of elastic manifolds in a disordered environment. Here we explore further properties of the theory. We show how higher correlation…

凝聚态物理 · 物理学 2009-11-10 Pierre Le Doussal , Kay Joerg Wiese

The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of spin wave theory and density matrix renormalization group(DMRG). Two limiting cases are investigated, the two-leg ladder and its…

统计力学 · 物理学 2009-11-07 Adolfo E. Trumper , Claudio J. Gazza

This arXiv repository is a bundle of two closely related papers. Abstract of the first paper: In systems governed by "chaotic" local Hamiltonians, we conjecture the universality of eigenstate entanglement (defined as the average…

量子物理 · 物理学 2021-07-26 Yichen Huang

The reduced density matrix of many-body systems possessing an additive conserved quantity can be decomposed in orthogonal sectors which can be independently analyzed. Recently, these have been proven to equally contribute to entanglement…

统计力学 · 物理学 2020-08-05 Xhek Turkeshi , Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese

We study the average entanglement entropy of blocks of contiguous spins in aperiodic XXZ chains which possess an aperiodic singlet phase at least in a certain limit of the coupling ratios. In this phase, where the ground state constructed…

统计力学 · 物理学 2015-06-25 Róbert Juhász , Zoltán Zimborás

We take the paradigm of interacting spin chains, the Heisenberg spin-$\frac{1}{2}$ XXZ model, as a reference system and consider interacting models that are related to it by Jordan-Wigner transformations and restrictions to sub-chains. An…

统计力学 · 物理学 2024-03-12 Vanja Marić , Saverio Bocini , Maurizio Fagotti

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

无序系统与神经网络 · 物理学 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

Critical behavior of the quantum phase transition of a site-diluted Heisenberg antiferromagnet on a square lattice is investigated by means of the quantum Monte Carlo simulation with the continuous-imaginary-time loop algorithm. Although…

无序系统与神经网络 · 物理学 2009-10-31 C. Yasuda , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

We present numerical evidences for the logarithmic scaling of the entanglement entropy in critical random spin chains. Very large scale exact diagonalizations performed at the critical XX point up to L=2000 spins 1/2 lead to a perfect…

强关联电子 · 物理学 2007-05-23 Nicolas Laflorencie

All eigenstates and eigenvalues are determined for the spin- 1/2 $XXZ$ chain $H = 2J \sum_i ( S_{i}^{x} S_{i + 1}^{x} + S_{i}^{y} S_{i + 1}^{y} + \Delta S_i^z S_{i + 1}^{z})$ for rings with up to N=16 spins, for anisotropies $\Delta=0 ,…

统计力学 · 物理学 2016-08-31 Klaus Fabricius , Ute Löw , Joachim Stolze

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We have applied our recent approach (Kargarian, et.al Phys. Rev. A 76, 60304 (R) (2007)) to study the quantum information properties of the anisotropic s=1/2 Heisenberg chain. We have investigated the underlying quantum information…

量子物理 · 物理学 2009-11-13 M. Kargarian , R. Jafari , A. Langari

An expansion based on renormalization group methods for the spin correlation function in the z direction of the Heisenberg-Ising XYZ chain with an external magnetic field directed as the z axis is derived. Moreover, by using the hidden…

统计力学 · 物理学 2007-05-23 G. Benfatto , V. Mastropietro

We analyze the nonequilibrium Kondo model at finite voltage and temperature by using a new formulation of the real-time renormalization group method with the Laplace variable as the flow parameter. We evaluate the energy-dependent spin…

介观与纳米尺度物理 · 物理学 2012-07-11 Mikhail Pletyukhov , Herbert Schoeller

We demonstrate that the concept of quantum typicality allows for significant progress in the study of real-time spin dynamics and transport in quantum magnets. To this end, we present a numerical analysis of the spin-current autocorrelation…

强关联电子 · 物理学 2014-03-31 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

材料科学 · 物理学 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold