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We develop a direct diagrammatic Monte Carlo framework for the Renyi entanglement entropy of interacting lattice fermions. The method starts from the fermionic graded-swap representation of Z_n[A]=Tr_A\rho_A^n, which converts the entropy…

Strongly Correlated Electrons · Physics 2026-05-22 Boyuan Shi

Thanks to Pfaffian techniques, we study the R\'enyi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar-Kivelson wave functions constructed from a dimer model on the triangular lattice. By…

Statistical Mechanics · Physics 2012-02-13 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

The conformal weights of spherical twist operators at non--zero (Euclidean) chemical potential are computed for free Dirac fields in arbitrary dimensions. An image technique, equivalent to replicas, is again used to obtain the $n$--fold…

High Energy Physics - Theory · Physics 2015-10-29 J. S. Dowker

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

High Energy Physics - Theory · Physics 2018-10-29 Chen-Te Ma

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

Quantum Gases · Physics 2016-10-12 William J. Porter , Joaquín E. Drut

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

Quantum Physics · Physics 2017-07-18 Przemyslaw Koscik , Anna Okopinska

We show that the two recently proposed methods to compute Renyi entanglement entropies in the realm of determinant quantum Monte Carlo methods for fermions are in principle equivalent, but differ in sampling strategies. The analogy allows…

Strongly Correlated Electrons · Physics 2015-04-08 Fakher F. Assaad

In three dimensions there is a logarithmically divergent contribution to the entanglement entropy which is due to the vertices located at the boundary of the region considered. In this work we find the corresponding universal coefficient…

High Energy Physics - Theory · Physics 2009-04-02 H. Casini , M. Huerta , L. Leitao

In a pilot study, we use the topological charge density defined by the eigenmodes of the overlap Dirac operator (with ultraviolet filtering by mode-truncation) to search for lumps of topological charge in SU(2) pure gauge theory. Augmenting…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , S. M. Morozov , M. Müller-Preussker , A. I. Veselov

Whenever a system possesses a conserved charge, the density matrix splits into eigenspaces associated to the each symmetry sector and we can access the entanglement entropy in a given subspace, known as symmetry resolved entanglement (SRE).…

High Energy Physics - Theory · Physics 2023-03-29 Alessandro Foligno , Sara Murciano , Pasquale Calabrese

In this work, we perturbatively calculate the modular Hamiltonian to obtain the entanglement entropy in a free fermion theory on a torus with three typical deforma- tions, e.g., T\bar{T} deformation, local bilinear operator deformation, and…

High Energy Physics - Theory · Physics 2022-10-19 Song He , Zhang-Cheng Liu , Yuan Sun

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

Quantum information theory and strongly correlated electron systems share a common theme of macroscopic quantum entanglement. In both topological error correction codes and theories of quantum materials (spin liquid, heavy fermion and…

Strongly Correlated Electrons · Physics 2022-10-11 Elio J. König , Piers Coleman , Alexei M. Tsvelik

Entanglement measures such as the entanglement entropy have become an indispensable tool to identify the fundamental character of ground states of interacting quantum many-body systems. For systems of interacting spin or bosonic degrees of…

Strongly Correlated Electrons · Physics 2014-08-27 Peter Broecker , Simon Trebst

Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular)…

Strongly Correlated Electrons · Physics 2018-11-16 Francesco Parisen Toldin , Fakher F. Assaad

Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

High Energy Physics - Theory · Physics 2016-07-18 Davide Bianchini , Francesco Ravanini

We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and…

High Energy Physics - Theory · Physics 2009-12-15 Shiying Dong , Eduardo Fradkin , Robert G. Leigh , Sean Nowling

We examine the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the…

Quantum Physics · Physics 2018-05-09 M. Merkli , G. P. Berman , R. T. Sayre , X. Wang , A. I. Nesterov

We introduce a new topological effect involving interference of two meson loops, manifesting a path-independent topological area dependence. The effect also draws a connection between quark confinement, Wilson-loops and topological…

Quantum Physics · Physics 2013-04-25 Erez Zohar , Benni Reznik

We derive closed-form asymptotic formulas for the R\'enyi entanglement entropies of the open XX spin-$1/2$ chain by mapping the underlying determinant of the boundary correlation matrix (which has Toeplitz-plus-Hankel structure) to a Hankel…

Statistical Mechanics · Physics 2026-04-08 Miguel Tierz