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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

Entanglement entropy has been a powerful tool for analyzing phases and criticality in pure ground states via quantum Monte Carlo (QMC). However, mixed-state entanglement, relevant to systems with dissipation, finite temperature, and…

Strongly Correlated Electrons · Physics 2025-06-17 Yi-Ming Ding , Yin Tang , Zhe Wang , Zhiyan Wang , Bin-Bin Mao , Zheng Yan

Phase transitions at a finite (i.e. non-zero) temperature are typically dominated by classical correlations, in contrast to zero temperature transitions where quantum mechanics plays an essential role. Therefore, it is natural to ask if…

Statistical Mechanics · Physics 2019-03-06 Tsung-Cheng Lu , Tarun Grover

We present a general scheme for the calculation of the Renyi entropy of a subsystem in quantum many-body models that can be efficiently simulated via quantum Monte Carlo. When the simulation is performed at very low temperature, the above…

Strongly Correlated Electrons · Physics 2013-05-30 Stephan Humeniuk , Tommaso Roscilde

We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then…

High Energy Physics - Theory · Physics 2015-06-22 Mukund Rangamani , Massimiliano Rota

Many-body entanglement unveils additional aspects of quantum matter and offers insights into strongly correlated physics. While ground-state entanglement has received much attention in the past decade, the study of mixed-state quantum…

Strongly Correlated Electrons · Physics 2025-03-21 Fo-Hong Wang , Xiao Yan Xu

We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

Statistical Mechanics · Physics 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

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 discuss the thermal entanglement close to a quantum phase transition by analyzing the concurrence for one dimensional models in the quantum Ising universality class. We demonstrate that the entanglement sensitivity to thermal and to…

Statistical Mechanics · Physics 2015-06-25 Luigi Amico , Dario Patane`

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

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

Renyi Mutual information (RMI), computed from second Renyi entropies, can identify classical phase transitions from their finite-size scaling at the critical points. We apply this technique to examine the presence or absence of finite…

Disordered Systems and Neural Networks · Physics 2018-04-04 P. V. Sriluckshmy , Ipsita Mandal

We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that for…

Strongly Correlated Electrons · Physics 2011-04-01 Rajiv R. P. Singh , Matthew B. Hastings , Ann B. Kallin , Roger G. Melko

We calculate the area, edge and corner Renyi entanglement entropies in the ground state of the transverse-field Ising model, on a simple-cubic lattice, by high-field and low-field series expansions. We find that while the area term is…

Statistical Mechanics · Physics 2015-06-22 Trithep Devakul , Rajiv R. P. Singh

We study the statistical physics of the classical Ising model in the so-called $\alpha$-R\'enyi ensemble, a finite-temperature thermal state approximation that minimizes a modified free energy based on the $\alpha$-R\'enyi entropy. We begin…

Statistical Mechanics · Physics 2025-09-23 Andrew Jreissaty , Juan Carrasquilla

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

I compute the leading contribution to the ground state Renyi entropy $S_{\alpha}$ for a region of linear size $L$ in a Fermi liquid. The result contains a universal boundary law violating term simply related the more familiar entanglement…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

We study the Renyi entropy in the finite temperature crossover regime of a Hubbard chain using quantum Monte Carlo. The ground state entropy has characteristic features such as a logarithmic divergence with block size and $2\kF$…

Strongly Correlated Electrons · Physics 2014-03-19 Lars Bonnes , Hannes Pichler , Andreas M. Läuchli

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension. At the critical point, the dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. Pich , A. P. Young , H. Rieger , N. Kawashima

Thermal equilibrium states of local quantum many-body systems are notorious for their spatially decaying correlations, which place severe restrictions on the types of many-body entanglement structures that may be observed at finite…

Quantum Physics · Physics 2024-07-24 Shachar Fraenkel , Moshe Goldstein
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