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We implement numerical linked cluster expansions (NLCEs) to study dynamics of lattice systems following quantum quenches, and focus on a hard-core boson model in one-dimensional lattices. We find that, in the nonintegrable regime and within…

Statistical Mechanics · Physics 2018-02-22 Krishnanand Mallayya , Marcos Rigol

Electronic quantum entanglement between the central chain and the two electrodes in an infinite one-dimensional two-probe device system is studied. The entanglement entropy is calculated employing the nonequilibrium Green's function method…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is rapidly gaining prominence in…

Quantitative characterization of different entanglement detection criteria for bipartite systems is presented. We review the implication sequence of these criteria and then numerically estimate volume ratios between criteria non-violating…

Quantum Physics · Physics 2022-09-23 A. Sauer , J. Z. Bernád

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

Statistical Mechanics · Physics 2020-06-15 Olalla A. Castro-Alvaredo , Máté Lencsés , István M. Szécsényi , Jacopo Viti

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited…

Statistical Mechanics · Physics 2016-06-23 T. Palmai

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2011-05-04 H. Francis Song , Christian Flindt , Stephan Rachel , Israel Klich , Karyn Le Hur

We show that numerical linked cluster expansions (NLCEs) based on sufficiently large building blocks allow one to obtain accurate low-temperature results for the thermodynamic properties of spin lattice models with continuous disorder…

Statistical Mechanics · Physics 2024-06-04 Mahmoud Abdelshafy , Marcos Rigol

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

We promote use of the geometric entropy formula derived by Holzhey et. al. from conformal field theory, $S_\ell\sim ({c}/{3}) \log(\sin{\pi\ell}/{N})$, to identify critical regions in zero temperature 1D quantum systems. The method is…

Statistical Mechanics · Physics 2009-11-11 S. O. Skrøvseth , K. Olaussen

Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement R\'{e}nyi…

High Energy Physics - Theory · Physics 2015-06-15 Dmitri Fursaev

Recent proposals of measuring bipartite Renyi entropy experimentally involve techniques that hold exactly for non-interacting quantum particles. Here we consider the difference between such measurements and the actual Renyi entropy for…

Strongly Correlated Electrons · Physics 2012-05-02 Norm M. Tubman , Jeremy McMinis

We present universal relations between entanglement entropy, which quantifies the quantum correlation between subsystems, and the elastic cross section, which is the primary observable for high energy particle scattering, by employing a…

High Energy Physics - Theory · Physics 2024-10-31 Ian Low , Zhewei Yin

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

Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

High Energy Physics - Theory · Physics 2016-07-18 Davide Bianchini , Francesco Ravanini

We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We…

Statistical Mechanics · Physics 2007-06-25 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

Strongly Correlated Electrons · Physics 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

We implement a Wang-Landau sampling technique in quantum Monte Carlo (QMC) for the purpose of calculating the Renyi entanglement entropies and associated mutual information. The algorithm converges an estimate for an analogue to the density…

Statistical Mechanics · Physics 2013-01-23 Stephen Inglis , Roger G. Melko

We study entanglement entropies between the single-particle states of the hole space and its complement in nuclear systems. Analytical results based on the coupled-cluster method show that entanglement entropies are proportional to the…

Nuclear Theory · Physics 2023-11-20 Chenyi Gu , Z. H. Sun , G. Hagen , T. Papenbrock

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…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela