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Related papers: Entanglement entropy of random partitioning

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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…

Statistical Mechanics · Physics 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

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…

Strongly Correlated Electrons · Physics 2023-06-13 Mohammad Pouranvari

We consider scaling of the entanglement entropy across a topological quantum phase transition in one dimension. The change of the topology manifests itself in a sub-leading term, which scales as $L^{-1/\alpha}$ with the size of the…

Statistical Mechanics · Physics 2017-02-08 Yuting Wang , Tobias Gulden , Alex Kamenev

Motivated by recent development of the concept of the disorder operator and its relation with entanglement entropy in bosonic systems, here we show the disorder operator successfully probes many aspects of quantum entanglement in fermionic…

Strongly Correlated Electrons · Physics 2023-09-06 Weilun Jiang , Bin-Bin Chen , Zi Hong Liu , Junchen Rong , Fakher F. Assaad , Meng Cheng , Kai Sun , Zi Yang Meng

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip…

Strongly Correlated Electrons · Physics 2017-12-13 Michael P. Zaletel , Jens H. Bardarson , Joel E. Moore

Entanglement is a key quantum phenomena and understanding transitions between phases of matter with different entanglement properties are an interesting probe of quantum mechanics. We numerically study a model of a 2D tensor network…

Statistical Mechanics · Physics 2021-08-06 Ryan Levy , Bryan K. Clark

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

High Energy Physics - Theory · Physics 2011-09-30 David D. Blanco , Horacio Casini

We investigate the nature of randomness in disordered packings of frictional spheres. We calculate the entropy of 3D packings through the force and volume ensemble of jammed matter, a mesoscopic ensemble and numerical simulations using…

Soft Condensed Matter · Physics 2014-09-15 Christopher Briscoe , Chaoming Song , Ping Wang , Hernan A. Makse

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

Strongly Correlated Electrons · Physics 2024-07-30 Hiromi Ebisu

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

Mathematical Physics · Physics 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

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…

Statistical Mechanics · Physics 2020-08-05 Xhek Turkeshi , Paola Ruggiero , Vincenzo Alba , Pasquale Calabrese

We study the probability distribution of entanglement in the Quantum Symmetric Simple Exclusion Process, a model of fermions hopping with random Brownian amplitudes between neighboring sites. We consider a protocol where the system is…

Statistical Mechanics · Physics 2021-07-30 Denis Bernard , Lorenzo Piroli

Entanglement entropy is a useful probe of compressible quantum matter because it can detect the existence of Fermi surfaces, both of microscopic fermionic degrees of freedom and of "hidden" gauge charged fermions. Much recent attention has…

High Energy Physics - Theory · Physics 2014-07-16 Brian Swingle , Liza Huijse , Subir Sachdev

We investigate the entanglement in Hubbard models of hardcore bosons in $1D$, with an additional hardcore interaction on nearest neighbouring sites. We derive analytical formulas for the bipartite entanglement entropy for any number of…

Strongly Correlated Electrons · Physics 2019-08-07 Ioannis Kleftogiannis , Ilias Amanatidis , Vladislav Popkov

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…

Disordered Systems and Neural Networks · Physics 2024-04-22 István Kovács

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…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L,…

High Energy Physics - Theory · Physics 2009-11-11 Alexei Kitaev , John Preskill

Entanglement entropy is a fundamental concept with rising importance in different fields ranging from quantum information science, black holes to materials science. In complex materials and systems, entanglement entropy provides insight…

Quantum Physics · Physics 2024-04-02 Zhi-Kang Lin , Yao Zhou , Bin Jiang , Bing-Quan Wu , Li-Mei Chen , Xiao-Yu Liu , Li-Wei Wang , Peng Ye , Jian-Hua Jiang

In three dimensions there is a logarithmically divergent contribution to the entanglement entropy which is due to the vertices located at the boundary of the region considered. In this work we find the corresponding universal coefficient…

High Energy Physics - Theory · Physics 2009-04-02 H. Casini , M. Huerta , L. Leitao

The so-called ``non-Fermi liquid'' behavior is very common in strongly correlated systems. However, its operational definition in terms of ``what it is not'' is a major obstacle against theoretical understanding of this fascinating…

Strongly Correlated Electrons · Physics 2015-05-27 Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi
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