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We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski's theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm…

Quantum Physics · Physics 2023-06-21 Andrea Bulgarelli , Marco Panero

We construct a contour function for the entanglement entropies in generic harmonic lattices. In one spatial dimension, numerical analysis are performed by considering harmonic chains with either periodic or Dirichlet boundary conditions. In…

Statistical Mechanics · Physics 2017-08-29 Andrea Coser , Cristiano De Nobili , Erik Tonni

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

We investigate the scaling of the R\'{e}nyi entanglement entropies for a particle bipartition of interacting spinless fermions in one spatial dimension. In the Tomonaga-Luttinger liquid regime, we calculate the second R\'{e}nyi entanglement…

Quantum Gases · Physics 2017-08-28 Hatem Barghathi , Emanuel Casiano-Diaz , Adrian Del Maestro

We study the holographic entanglement entropy of spatial regions with corners in the AdS4/BCFT3 correspondence by considering three dimensional boundary conformal field theories whose boundary is a timelike plane. We compute analytically…

High Energy Physics - Theory · Physics 2017-12-19 Domenico Seminara , Jacopo Sisti , Erik Tonni

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

Strongly Correlated Electrons · Physics 2007-10-25 Martin Hohenadler , Peter B Littlewood

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 propose and test several tensor network based algorithms for reconstructing the ground state of an (unknown) local Hamiltonian starting from a random sample of the wavefunction amplitudes. These algorithms, which are based on completing…

Quantum Physics · Physics 2023-10-04 Aaron Stahl , Glen Evenbly

A resonating valence bond (RVB) state of a lattice of quantum systems is a potential resource for quantum computing and communicating devices. It is a superposition of singlet, i.e., dimer, coverings - often restricted to nearest-neighbour…

Quantum Physics · Physics 2023-02-21 Ajit Iqbal Singh , Aditi Sen De , Ujjwal Sen

We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from…

Quantum Physics · Physics 2011-08-19 V. M. Bastidas , J. H. Reina , C. Emary , T. Brandes

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

In order to quantify entanglement between two parts of a quantum system, one of the most used estimator is the Von Neumann entropy. Unfortunately, computing this quantity for large interacting quantum spin systems remains an open issue.…

Strongly Correlated Electrons · Physics 2011-05-26 S. Capponi , F. Alet , M. Mambrini

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev

In the presence of a sharp corner in the boundary of the entanglement region, the entanglement entropy (EE) and Renyi entropies for 3d CFTs have a logarithmic term whose coefficient, the corner function, is scheme-independent. In the limit…

High Energy Physics - Theory · Physics 2015-08-12 Henriette Elvang , Marios Hadjiantonis

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

High Energy Physics - Theory · Physics 2015-06-05 Robert C. Myers , Ajay Singh

In this paper we develop a systematic analysis of the properties of entanglement entropy in curved backgrounds using the replica approach. We explore the analytic $(q-1)$ expansion of R\'enyi entropy $S_q$ and its variations; our setup…

High Energy Physics - Theory · Physics 2024-10-31 Arvind Shekar , Marika Taylor

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

Strongly Correlated Electrons · Physics 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

Using quantum Monte Carlo simulations, we compute the participation (Shannon-R\'enyi) entropies for groundstate wave functions of Heisenberg antiferromagnets for one-dimensional (line) subsystems of length $L$ embedded in two-dimensional…

Strongly Correlated Electrons · Physics 2017-04-13 David J. Luitz , Nicolas Laflorencie

Entanglement entropy of gauge fields is calculated using the partition function in curved spacetime with a boundary. We derive a Gibbons-Hawking-like term from a Becchi-Rouet-Stora-Tyutin (BRST) action and a Wald-entropy-like codimension-2…

High Energy Physics - Theory · Physics 2016-02-02 Kuo-Wei Huang

We evaluate the relative entropy on a ball region near the UV fixed point of a holographic conformal field theory deformed by a fermionic operator of nonzero vacuum expectation value. The positivity of the relative entropy considered here…

High Energy Physics - Theory · Physics 2025-10-28 Feng-Li Lin , Bo Ning