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We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Yi-Bin Guo , Yi-Cong Yu , Rui-Zhen Huang , Li-Ping Yang , Run-Ze Chi , Hai-Jun Liao , Tao Xiang

We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to…

High Energy Physics - Theory · Physics 2020-12-02 Ali Mollabashi , Kotaro Tamaoka

We introduce a novel technique to numerically calculate R\'enyi entanglement entropies in lattice quantum field theory using generative models. We describe how flow-based approaches can be combined with the replica trick using a custom…

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

High Energy Physics - Theory · Physics 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi

We evaluate one-interval R\'enyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (CFT) on a cylinder, and examine their differences from the ones for the thermal state. We assume the…

High Energy Physics - Theory · Physics 2016-11-29 Feng-Li Lin , Huajia Wang , Jia-ju Zhang

We put forward a simpler and improved variation of a recently proposed method to overcome the signal-to-noise problem found in Monte Carlo calculations of the entanglement entropy of interacting fermions. The present method takes advantage…

Strongly Correlated Electrons · Physics 2016-04-06 Joaquín E. Drut , William J. Porter

We show that odd order R\'enyi entropies $S^{(2q+1)}$ of a system of interacting scalar fields can be calculated as the free energy of $2q+1$ replicas of the system with additional quadratic inter-replica couplings in the subsystem at the…

Statistical Mechanics · Physics 2025-10-20 Mrinal Kanti Sarkar , Saranyo Moitra , Rajdeep Sensarma

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

Statistical Mechanics · Physics 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

In recent years entanglement measures, such as the von Neumann and the R\'enyi entropies, provided a unique opportunity to access elusive feature of quantum many-body systems. However, extracting entanglement properties analytically,…

Strongly Correlated Electrons · Physics 2017-07-03 Vincenzo Alba

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

Strongly Correlated Electrons · Physics 2009-11-11 V. V. França , K. Capelle

The properties of the entanglement entropy (EE) of low-lying excitations in one-dimensional disordered interacting systems are studied. The ground state EE shows a clear signature of localization, while low-lying excitation shows a…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Richard Berkovits

In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the…

High Energy Physics - Theory · Physics 2015-09-07 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

Strongly Correlated Electrons · Physics 2017-10-13 Barry A. Friedman , Gregory C. Levine

In this paper we develop a new approach to the investigation of the bi-partite entanglement entropy in integrable quantum spin chains. Our method employs the well-known replica trick, thus taking a replica version of the spin chain model as…

High Energy Physics - Theory · Physics 2011-02-18 Olalla A. Castro-Alvaredo , Benjamin Doyon

Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and…

High Energy Physics - Theory · Physics 2019-04-11 Luis Apolo , Song He , Wei Song , Jianfei Xu , Junjie Zheng

The complicated ways in which electrons interact in many-body systems such as molecules and materials have long been viewed through the lens of local electron correlation and associated correlation functions. However, quantum information…

Strongly Correlated Electrons · Physics 2024-10-15 Tong Shen , Hatem Barghathi , Adrian Del Maestro , Brenda Rubenstein

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

Strongly Correlated Electrons · Physics 2015-05-27 Cenke Xu

R\'enyi entropies are conceptually valuable and experimentally relevant generalisations of the celebrated von Neumann entanglement entropy. After a quantum quench in a clean quantum many-body system they generically display a universal…

Statistical Mechanics · Physics 2022-08-04 Bruno Bertini , Katja Klobas , Vincenzo Alba , Gianluca Lagnese , Pasquale Calabrese

In this paper we study the time evolution of (Renyi) entanglement entropies for locally excited states in four dimensional free massless fermionic field theory. Locally excited states are defined by being acted by various local operators on…

High Energy Physics - Theory · Physics 2016-03-23 Masahiro Nozaki , Tokiro Numasawa , Shunji Matsuura

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

Strongly Correlated Electrons · Physics 2013-10-08 Stephen Inglis , Roger G. Melko