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We investigate several entanglement-related quantities at finite-temperature criticality in the three-dimensional quantum spherical model, both as a function of temperature $T$ and of the quantum parameter $g$, which measures the strength…

Statistical Mechanics · Physics 2020-03-24 Sascha Wald , Raul Arias , Vincenzo Alba

We study the fate of quantum correlations at finite temperature in the two-dimensional toric code using the logarithmic entanglement negativity. We are able to obtain exact results that give us insight into how thermal excitations affect…

Strongly Correlated Electrons · Physics 2018-04-25 Oliver Hart , Claudio Castelnovo

We introduce a diagnostic for quantum thermalization based on mixed-state entanglement. Specifically, given a pure state on a tripartite system $ABC$, we study the scaling of entanglement negativity between $A$ and $B$. For representative…

Statistical Mechanics · Physics 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We examine the entanglement of thermal states of n spins interacting through different types of XY couplings in the presence of a magnetic field, by evaluating the negativities of all possible bipartite partitions of the whole system and of…

Quantum Physics · Physics 2015-06-18 R. Rossignoli , N. Canosa

We study the dynamics of the entanglement in one dimensional critical quantum systems after a local quench in which two independently thermalized semi-infinite halves are joined to form a homogeneous infinite system and left to evolve…

Statistical Mechanics · Physics 2015-07-07 Marianne Hoogeveen , Benjamin Doyon

The fate of quantum entanglement at finite-temperature phase transitions remains an open question, particularly for continuous symmetry breaking where zero-temperature Goldstone modes generate long-range correlations. Using large-scale…

Strongly Correlated Electrons · Physics 2026-03-17 Dong-Xu Liu , Yi-Ming Ding , Zhe Wang , Zheng Yan

We present a novel algorithm that allows one to obtain temperature dependent properties of quantum lattice models in the thermodynamic limit from exact diagonalization of small clusters. Our Numerical Linked Cluster (NLC) approach provides…

Strongly Correlated Electrons · Physics 2007-05-23 Marcos Rigol , Tyler Bryant , Rajiv R. P. Singh

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

High Energy Physics - Theory · Physics 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

Strongly Correlated Electrons · Physics 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

Statistical Mechanics · Physics 2019-06-11 Hassan Shapourian , Shinsei Ryu

We propose a scheme to characterize long-range quantum entanglement close to a finite temperature critical point using tripartite entanglement negativity. As an application, we study a model with mean-field Ising critical exponents and find…

Strongly Correlated Electrons · Physics 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters. It is based on exact diagonalization…

Statistical Mechanics · Physics 2013-05-13 Ann B. Kallin , Katharine Hyatt , Rajiv R. P. Singh , Roger G. Melko

We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum states, in quantum error-correcting codes and find it to equal the minimal cross sectional area of the entanglement wedge in holographic codes with a…

High Energy Physics - Theory · Physics 2022-02-08 Jonah Kudler-Flam , Shinsei Ryu

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

Strongly Correlated Electrons · Physics 2024-05-06 Gilles Parez , William Witczak-Krempa

We investigate quantum entanglement in two-spin-1/2 NMR systems at thermal equilibrium under external magnetic fields. We derive closed-form analytical expressions for the entanglement of the system and show how the entanglement depends on…

Quantum Physics · Physics 2025-12-02 Fatemeh Khashami , Stefan Glöggler

We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a…

Statistical Mechanics · Physics 2014-12-17 Pasquale Calabrese , John Cardy , Erik Tonni

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

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We study the logarithmic entanglement negativity of symmetry-protected topological (SPT) phases and quantum critical points (QCPs) of one-dimensional noninteracting fermions at finite temperatures. In particular, we consider a free fermion…

Strongly Correlated Electrons · Physics 2024-08-22 Wonjune Choi , Michael Knap , Frank Pollmann
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