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We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

Magnetic properties of the transverse-field Ising model on curved (hyperbolic) lattices are studied by a tensor product variational formulation that we have generalized for this purpose. First, we identify the quantum phase transition for…

Statistical Mechanics · Physics 2023-06-27 Andrej Gendiar

The entanglement entropy is a unique probe to reveal universal features of strongly interacting many-body systems. In two or more dimensions these features are subtle, and detecting them numerically requires extreme precision, a notoriously…

Strongly Correlated Electrons · Physics 2024-03-05 Jonathan D'Emidio , Roman Orus , Nicolas Laflorencie , Fernando de Juan

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

The effects of quenched disorder on nonequilibrium phase transitions in the directed percolation universality class are revisited. Using a strong-disorder energy-space renormalization group, it is shown that for any amount of disorder the…

Statistical Mechanics · Physics 2008-09-03 J. A. Hoyos

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

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

Statistical Mechanics · Physics 2010-11-10 Benjamin Hsu , Eduardo Fradkin

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

Statistical Mechanics · Physics 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

Finite-size scaling analysis turns out to be a powerful tool to calculate the phase diagram as well as the critical properties of two dimensional classical statistical mechanics models and quantum Hamiltonians in one dimension. The most…

Statistical Mechanics · Physics 2015-05-28 J. C. Xavier , F. C. Alcaraz

Quantifying multipartite entanglement in quantum many-body systems and hybrid quantum computing architectures is a fundamental yet challenging task. In recent years, thermodynamic quantities such as the maximum extractable work from an…

Quantum Physics · Physics 2025-11-06 Harsh Sharma , Sampriti Saha , A. S. Majumdar , Manik Banik , Himadri Shekhar Dhar

We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

We employ a protocol, dubbed entanglement microscopy, to reveal the multipartite entanglement encoded in the full reduced density matrix of microscopic subregion both in spin and fermionic many-body systems. We exemplify our method by…

Strongly Correlated Electrons · Physics 2025-02-06 Ting-Tung Wang , Menghan Song , Liuke Lyu , William Witczak-Krempa , Zi Yang Meng

Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal properties of the average bipartite entanglement entropy of eigenstates of the…

Statistical Mechanics · Physics 2018-12-04 Lev Vidmar , Lucas Hackl , Eugenio Bianchi , Marcos Rigol

We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the…

Quantum Physics · Physics 2016-09-30 Meng Qin , Zhong-zhou Ren , Xin Zhang

A useful approach to characterize and identify quantum phase transitions lies in the concept of multipartite entanglement. In this paper, we consider well-known measures of multipartite (global) entanglement, i.e., average linear entropy of…

Quantum Physics · Physics 2022-04-01 Elahe Samimi , Mohammad Hossein Zarei , Afshin Montakhab

Entanglement entropy, which is a measure of quantum correlations between separate parts of a many-body system, has emerged recently as a fundamental quantity in broad areas of theoretical physics, from cosmology and field theory to…

Quantum Physics · Physics 2009-03-09 Israel Klich , Leonid Levitov

We study the number of clusters in two-dimensional (2d) critical percolation, N_Gamma, which intersect a given subset of bonds, Gamma. In the simplest case, when Gamma is a simple closed curve, N_Gamma is related to the entanglement entropy…

Statistical Mechanics · Physics 2012-12-18 István A. Kovács , Ferenc Iglói , John Cardy

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

High Energy Physics - Theory · Physics 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

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