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We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves…

High Energy Physics - Theory · Physics 2015-05-25 Enrico M. Brehm , Ilka Brunner

The optimal use of quantum and classical computational techniques together is important to address problems that cannot be easily solved by quantum computations alone. This is the case of the ground state problem for quantum many-body…

Quantum Physics · Physics 2022-05-03 Patrick Huembeli , Giuseppe Carleo , Antonio Mezzacapo

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

In this paper, we propose an approach for simulating wall-bounded incompressible turbulent flows by integrating the technology of random vortex method with the core principles of large-eddy simulations (LES). In particular, we employ the…

Fluid Dynamics · Physics 2025-11-11 Zihao Guo , Zhongmin Qian

Entanglement entropy is an important quantity in field theory, but its definition poses some challenges. The naive definition involves an extension of quantum field theory in which one assigns Hilbert spaces to spatial sub-regions. For…

High Energy Physics - Theory · Physics 2019-10-23 William Donnelly , Gabriel Wong

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

The evolution of entanglement entropy in quantum circuits composed of Haar-random gates and projective measurements shows versatile behavior, with connections to phase transitions and complexity theory. We reformulate the problem in terms…

Disordered Systems and Neural Networks · Physics 2020-04-16 Oles Shtanko , Yaroslav A. Kharkov , Luis Pedro García-Pintos , Alexey V. Gorshkov

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

A new numerical scheme is proposed for flow computation in complex discrete fracture networks. The method is based on a three-field formulation of the Darcy law for the description of the hydraulic head on the fractures and uses a cost…

Numerical Analysis · Mathematics 2019-12-23 Stefano Berrone , Denise Grappein , Sandra Pieraccini , Stefano Scialo

In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize the energy functional of interacting quantum field theories at arbitrary coupling. To this end, we build a class of non-Gaussian…

High Energy Physics - Theory · Physics 2021-02-22 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

Entanglement of spatial bipartitions, used to explore lattice models in condensed matter physics, may be insufficient to fully describe itinerant quantum many-body systems in the continuum. We introduce a procedure to measure the R\'enyi…

Quantum Gases · Physics 2014-04-23 C. M. Herdman , P. -N. Roy , R. G. Melko , A. Del Maestro

We study the properties of pseudo entropy, a new generalization of entanglement entropy, in free Maxwell field theory in $d = 4$ dimension. We prepare excited states by the different components of the field strengths located at different…

High Energy Physics - Theory · Physics 2022-10-19 Jyotirmoy Mukherjee

We compute R\'enyi entropies for a spherical entangling surface in four-dimensional N=4 super-Yang-Mills at strong coupling using the AdS/CFT correspondence. Incorporating the effects of the leading \alpha' corrections to the low energy…

High Energy Physics - Theory · Physics 2015-06-16 Damian A. Galante , Robert C. Myers

It has long been conjectured that the entropy of quantum fields across boundaries scales as the boundary area. This conjecture has not been easy to test in spacetime dimensions greater than four because of divergences in the von Neumann…

High Energy Physics - Theory · Physics 2013-07-29 Samuel L. Braunstein , Saurya Das , S. Shankaranarayanan

The recently proposed generative flow networks (GFlowNets) are a method of training a policy to sample compositional discrete objects with probabilities proportional to a given reward via a sequence of actions. GFlowNets exploit the…

Machine Learning · Computer Science 2024-02-27 Daniil Tiapkin , Nikita Morozov , Alexey Naumov , Dmitry Vetrov

Recent years have witnessed significant progress in the entanglement-based characterization of quantum phases of matter. The primary objects of interest are the reduced density matrix and its associated entanglement Hamiltonian. As…

Strongly Correlated Electrons · Physics 2026-03-11 Yunlong Zang

This is an expanded version of the short report arXiv:1401.0539, where we stud- ied the (Renyi) entanglement entropies for the excited state defined by acting a given local operator on the ground state. We introduced the (Renyi)…

High Energy Physics - Theory · Physics 2015-06-19 Masahiro Nozaki

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the…

High Energy Physics - Theory · Physics 2021-05-27 M. Dias , Daniel L. Nedel , C. R. Senise

In this review we first introduce the general methods to calculate the entanglement entropy for free fields, within the Euclidean and the real time formalisms. Then we describe the particular examples which have been worked out explicitly…

High Energy Physics - Theory · Physics 2009-12-08 H. Casini , M. Huerta

The renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a $\lambda \phi^4$ scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat…

High Energy Physics - Theory · Physics 2017-09-19 Jiunn-Wei Chen , Jin-Yi Pang