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We investigate the logarithmic negativity in strongly-disordered spin chains in the random-singlet phase. We focus on the spin-1/2 random Heisenberg chain and the random XX chain. We find that for two arbitrary intervals the…

强关联电子 · 物理学 2016-07-27 Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese

We examine the concurrence and entanglement entropy in quantum spin chains with random long-range couplings, spatially decaying with a power-law exponent $\alpha$. Using the strong disorder renormalization group (SDRG) technique, we find by…

无序系统与神经网络 · 物理学 2020-12-30 Youcef Mohdeb , Javad Vahedi , N. Moure , A. Roshani , Hyun-Yong Lee , Ravindra N. Bhatt , Stefan Kettemann , Stephan Haas

We consider a sublattice-symmetric free-fermion model on a one-dimensional lattice with random hopping amplitudes decaying with the distance as $|t_l|\sim l^{-\alpha}$, and address the question how far an analogue of the random-singlet…

无序系统与神经网络 · 物理学 2022-04-20 Róbert Juhász

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 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

We study the entanglement properties of random XX spin $1/2$ chains at an arbitrary temperature $T$ using random partitioning, where sites of a size-varying subsystem are chosen randomly with a uniform probability $p$, and then an average…

强关联电子 · 物理学 2023-06-13 Mohammad Pouranvari

We introduce and implement a reformulation of the strong disorder renormalization group method in real space, well suited to study bond disordered antiferromagnetic power law coupled quantum spin chains. We derive the Master equations for…

无序系统与神经网络 · 物理学 2025-12-12 Stefan Kettemann

Using strong-disorder renormalization group, numerical exact diagonalization, and quantum Monte Carlo methods, we revisit the random antiferromagnetic XXZ spin-1/2 chain focusing on the long-length and ground-state behavior of the average…

无序系统与神经网络 · 物理学 2007-11-16 J. A. Hoyos , André P. Vieira , Nicolas Laflorencie , E. Miranda

We study the half-chain entanglement entropy in the ground state of the spin-1/2 XX chain across an extended random defect, where the strength of disorder decays with the distance from the interface algebraically as $\Delta_l\sim…

无序系统与神经网络 · 物理学 2017-09-27 Róbert Juhász

We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales…

量子物理 · 物理学 2009-11-13 A. Saguia , M. S. Sarandy , B. Boechat , M. A. Continentino

We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the…

统计力学 · 物理学 2017-03-23 Trithep Devakul , Satya N. Majumdar , David A. Huse

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

Quantum information theoretical measures are useful tools for characterizing quantum dynamical phases. However, employing them to study excited states of random spin systems is a challenging problem. Here, we report results for the…

无序系统与神经网络 · 物理学 2022-10-04 Youcef Mohdeb , Javad Vahedi , Stefan Kettemann

Entanglement features of the ground state of disordered quantum matter are often captured by an infinite randomness fixed point that, for a variety of models, is the random singlet phase. Although a copious number of studies covers…

统计力学 · 物理学 2020-03-04 Xhek Turkeshi , Paola Ruggiero , Pasquale Calabrese

We examine the real space renormalization group method of finding \textit{excited eigenstate} (RSRG-X) of the XX spin-1/2 chain, from entanglement perspectives. Eigenmodes of entanglement Hamiltonian, especially the maximally entangled mode…

强关联电子 · 物理学 2016-01-13 Mohammad Pouranvari , Kun Yang

We investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of…

统计力学 · 物理学 2007-05-23 T. Papenbrock , T. Barnes , D. J. Dean , M. V. Stoitsov , M. R. Strayer

We study the R\'enyi entanglement entropy and the Shannon mutual information for a class of spin-1/2 quantum critical XXZ chains with random coupling constants which are partially correlated. In the XX case, distinctly from the usual…

无序系统与神经网络 · 物理学 2016-02-22 João C. Getelina , Francisco C. Alcaraz , José A. Hoyos

The spin 1/2 XXZ chain in a random magnetic field pointing in the Z direction is numerically studied using the Density Matrix Renormalization Group (DMRG) method. The phase diagram as a function of the anisotropy of the XXZ Hamiltonian and…

强关联电子 · 物理学 2009-11-07 Laura Urba , Anders Rosengren

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

无序系统与神经网络 · 物理学 2024-03-05 Prashant Kumar , R. N. Bhatt

We use a strong-disorder renormalization group (SDRG) method and ground-state quantum Monte Carlo (QMC) simulations to study S=1/2 spin chains with random couplings, calculating disorder-averaged spin and dimer correlations. The QMC…

强关联电子 · 物理学 2016-12-02 Yu-Rong Shu , Dao-Xin Yao , Chih-Wei Ke , Yu-Cheng Lin , Anders W. Sandvik
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