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The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

无序系统与神经网络 · 物理学 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

统计力学 · 物理学 2012-03-23 István A. Kovács , Ferenc Iglói

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves…

高能物理 - 理论 · 物理学 2015-05-25 Enrico M. Brehm , Ilka Brunner

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

无序系统与神经网络 · 物理学 2024-04-22 István Kovács

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we…

无序系统与神经网络 · 物理学 2015-05-19 Istvan A. Kovacs , Ferenc Igloi

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

强关联电子 · 物理学 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

统计力学 · 物理学 2017-08-30 Eyal Cornfeld , Eran Sela

A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of…

量子物理 · 物理学 2020-01-08 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

统计力学 · 物理学 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

量子物理 · 物理学 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

We numerically study the dynamics of entanglement entropy, induced by an oscillating time periodic driving of the transverse field, h(t), of a one-dimensional quantum Ising chain. We consider several realizations of h(t), and we find a…

统计力学 · 物理学 2016-10-14 Tony J. G. Apollaro , G. Massimo Palma , Jamir Marino

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

统计力学 · 物理学 2010-03-25 F. Gliozzi , L. Tagliacozzo

We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \le 20$, by numerical application of the strong disorder renormalization group method. We…

无序系统与神经网络 · 物理学 2015-05-14 Istvan A. Kovacs , Ferenc Igloi

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

统计力学 · 物理学 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which…

统计力学 · 物理学 2023-11-21 Akshat Pandey , Aditya Mahadevan , Aditya Cowsik

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

量子物理 · 物理学 2025-03-18 Michael Aizenman , Simone Warzel

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

高能物理 - 理论 · 物理学 2015-06-17 Hong Liu , Márk Mezei

Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix. In this paper, we study the…

无序系统与神经网络 · 物理学 2020-09-24 Nicolai Lang , Hans Peter Büchler

We describe an algorithm for studying the entanglement entropy and spectrum of 2D systems, as a coupled array of $N$ one dimensional chains in their continuum limit. Using the algorithm to study the quantum Ising model in 2D, (both in its…

统计力学 · 物理学 2015-03-31 A. J. A. James , R. M. Konik

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

无序系统与神经网络 · 物理学 2025-03-25 Ferenc Iglói , Yu-Cheng Lin
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