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Recent proposals of measuring bipartite Renyi entropy experimentally involve techniques that hold exactly for non-interacting quantum particles. Here we consider the difference between such measurements and the actual Renyi entropy for…

Strongly Correlated Electrons · Physics 2012-05-02 Norm M. Tubman , Jeremy McMinis

We analyse the entanglement entropy properties of a two-dimensional p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the chemical potential and the…

Superconductivity · Physics 2015-03-18 T. P. Oliveira , P. Ribeiro , P. D. Sacramento

We investigate the entanglement structure and wave function characteristics of continuously monitored free fermions with U$(1)$-symmetry in two spatial dimensions (2D). By deriving the exact fermion replica-quantum master equation, we line…

Strongly Correlated Electrons · Physics 2025-07-15 K. Chahine , M. Buchhold

We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

High Energy Physics - Theory · Physics 2015-06-03 M. A. Rajabpour , F. Gliozzi

We construct a new class of entanglement measures named "rotating R\'enyi entropy" by the holographic calculation of a rotating topological black hole belonging to the Petrov type-D class, we compute this kind of entropy for a spherical…

High Energy Physics - Theory · Physics 2022-07-26 Bin He

We study the von Neumann and R\'enyi bipartite entanglement entropies in the thermodynamic limit of many-body quantum states with spin-s sites, that possess full symmetry under exchange of sites. It turns out that there is essentially a…

Mathematical Physics · Physics 2015-06-11 Olalla A. Castro-Alvaredo , Benjamin Doyon

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 consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is introduced. An area law is proven in the…

Mathematical Physics · Physics 2024-12-20 Felix Finster , Magdalena Lottner , Alexander V. Sobolev

In this paper, we develop a perturbation formulation to calculate the single interval higher spin R$\acute{e}$nyi and entanglement entropy for two dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$ symmetry. The system…

High Energy Physics - Theory · Physics 2015-06-22 Jiang Long

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

Quantum Physics · Physics 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel

By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into…

Operator Algebras · Mathematics 2017-12-21 Roberto Longo , Feng Xu

Following up on a recent analysis of two cold atoms in a time-dependent harmonic trap in one dimension, we explore the entanglement entropy of two and three fermions in the same situation when driven through a parametric resonance. We find…

Quantum Gases · Physics 2018-04-18 J. R. McKenney , W. J. Porter , J. E. Drut

We study the topological entanglement entropy and scalar chirality of a topologically ordered skyrmion formed in a two-dimensional triangular lattice. Scalar chirality remains a smooth function of the magnetic field in both helical and…

Strongly Correlated Electrons · Physics 2023-11-08 Vipin Vijayan , L. Chotorlishvili , A. Ernst , S. S. P. Parkin , M. I. Katsnelson , S. K. Mishra

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a…

Quantum Physics · Physics 2023-03-15 Graham Kells , Dganit Meidan , Alessandro Romito

In this paper, we study the holographic R\'enyi entropy of a large interval on a circle at high temperature for the two-dimensional conformal field theory (CFT) dual to pure AdS$_3$ gravity. In the field theory, the R\'enyi entropy is…

High Energy Physics - Theory · Physics 2015-11-11 Bin Chen , Jie-qiang Wu

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin

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

We study entanglement entropy (EE) in interacting quantum field theories (QFTs) at finite density. We argue that, in the limit of large subregions, the derivative of EE with respect to the size of the entangling region approaches the…

High Energy Physics - Theory · Physics 2026-03-10 Niko Jokela , Aatu Rajala , Tobias Rindlisbacher

In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the CFT with W symmetry. To read the possible corrections from W fields clearly, we compute the thermal correction to the R\'enyi entropy…

High Energy Physics - Theory · Physics 2015-09-09 Bin Chen , Jie-qiang Wu , Ze-chuan Zheng