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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

We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

强关联电子 · 物理学 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

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

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

量子物理 · 物理学 2022-07-14 Nick G. Jones

This article introduces and discusses the concept of entanglement detachment. Under some circumstances, enlarging a few couplings of a Hamiltonian can effectively detach a (possibly disjoint) block within the ground state. This detachment…

强关联电子 · 物理学 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

Entanglement entropy is a powerful tool to detect continuous, discontinuous and even topological phase transitions in quantum as well as classical systems. In this work, von Neumann and Renyi entanglement entropies are studied numerically…

统计力学 · 物理学 2023-10-30 Christophe Chatelain , Andrej Gendiar

There is no doubt that the information hidden in entanglement entropy (EE), for example, the $n$-th order R\'enyi EE, i.e., $S^{A}_n=\frac{1}{1-n}\ln \Tr (\rho_A^n)$ where $\rho_A=\mathrm{Tr}_{\overline{A}}\rho$ is the reduced density…

强关联电子 · 物理学 2023-08-30 Gaopei Pan , Yuan Da Liao , Weilun Jiang , Jonathan D'Emidio , Yang Qi , Zi Yang Meng

We study the entanglement entropy scaling of the XXZ chain. While in the critical XY phase of the XXZ chain the entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, at…

强关联电子 · 物理学 2013-10-15 Pochung Chen , Zhi-long Xue , I. P. McCulloch , Ming-Chiang Chung , Miguel Cazalilla , S. -K. Yip

In this work, propagation of acoustic waves in a one-dimensional binary chain with different types of correlations in elasticity distribution is studied. We applied entropic analysis to investigate and quantify the…

统计力学 · 物理学 2019-12-02 O. Farzadian , T. Oikonomou , M. R. R. Good , M. D. Niry

We compute exactly the von Neumann entanglement entropy of the eta-pairing states - a large set of exact excited eigenstates of the Hubbard Hamiltonian. For the singlet eta-pairing states the entropy scales with the logarithm of the spatial…

强关联电子 · 物理学 2018-04-20 Oskar Vafek , Nicolas Regnault , B. Andrei Bernevig

This paper explores decentralized learning in a graph-based setting, where data is distributed across nodes. We investigate a decentralized SGD algorithm that utilizes a random walk to update a global model based on local data. Our focus is…

机器学习 · 计算机科学 2024-07-31 Zonghong Liu , Salim El Rouayheb , Matthew Dwyer

We investigate the entanglement entropy in 1+1-dimensional $SU(N)$ gauge theories with various matter fields using the lattice regularization. Here we use extended Hilbert space definition for entanglement entropy, which contains three…

高能物理 - 理论 · 物理学 2017-09-06 Sinya Aoki , Norihiro Iizuka , Kotaro Tamaoka , Tsuyoshi Yokoya

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

无序系统与神经网络 · 物理学 2026-04-22 Bibek Saha , Sthitadhi Roy

We train machine learning algorithms to infer the entanglement structure of disordered long-range interacting quantum spin chains by learning from the strong disorder renormalisation group (SDRG) method. The system consists of…

无序系统与神经网络 · 物理学 2026-03-06 A. Ustyuzhanin , J. Vahedi , S. Kettemann

We introduce an inhomogeneous model of free fermions on a $(D-1)$-dimensional lattice with $D(D-1)/2$ continuous parameters that control the hopping strength between adjacent sites. We solve this model exactly, and find that the…

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

量子物理 · 物理学 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We study models with fracton-like order based on $\mathbb{Z}_2$ lattice gauge theories with subsystem symmetries in $d=2$ and $d=3$ spatial dimensions. The $3d$ model reduces to the $3$-dimensional Toric Code when subsystem symmetry is…

强关联电子 · 物理学 2020-07-08 J. P. Ibieta-Jimenez , L. N. Queiroz Xavier , M. Petrucci , P. Teotonio-Sobrinho

The interplay of disorder and interactions is a challenging topic of condensed matter physics, where correlations are crucial and exotic phases develop. In one spatial dimension, a particularly successful method to analyze such problems is…

强关联电子 · 物理学 2019-12-10 V. L. Quito , Pedro L. S. Lopes , José A. Hoyos , E. Miranda

We study the properties of the ground states of the one- and two-dimensional Hubbard models at half filling and moderate doping using entanglement-based measures, which we calculate numerically using the momentum-space density matrix…

强关联电子 · 物理学 2017-07-06 G. Ehlers , J. Sólyom , Ö. Legeza , R. M. Noack