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Related papers: Long-range entanglement in the Dirac vacuum

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We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are…

High Energy Physics - Theory · Physics 2019-10-23 Sourav Bhattacharya , Shankhadeep Chakrabortty , Shivang Goyal

We study the entanglement generated between Dirac modes in a 2-dimensional conformally flat Robertson-Walker universe. We find radical qualitative differences between the bosonic and fermionic entanglement generated by the expansion. The…

Quantum Physics · Physics 2014-11-21 I. Fuentes , R. B. Mann , E. Martin-Martinez , S. Moradi

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

We study the static entanglement structure in (1+1)-dimensional free Dirac-fermion theory with Lifshitz symmetry and arbitrary integer dynamical critical exponent. This model is different from the one introduced in [Hartmann et al., SciPost…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , Komeil Babaei Velni , M. Reza Mohammadi Mozaffar , Ali Mollabashi

We prove an upper bound on long-range distillable entanglement in $D$ spatial dimensions. Namely, it must decay faster than $1/r$, where $r$ is the distance between entangled regions. For states that are asymptotically rotationally…

Quantum Physics · Physics 2025-08-12 Jonah Kudler-Flam , Vladimir Narovlansky , Nikita Sopenko

We analyse the entanglement and the non-locality of a (1+1)-dimensional massless Dirac field confined to a cavity on a worldtube that consists of inertial and uniformly accelerated segments, for small accelerations but arbitrarily long…

Quantum Physics · Physics 2012-01-24 Nicolai Friis , Antony R. Lee , David Edward Bruschi , Jorma Louko

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with N\'eel order, a free Dirac fermion in the {\pi}-flux phase, and…

Strongly Correlated Electrons · Physics 2012-04-25 Hyejin Ju , Ann B. Kallin , Paul Fendley , Matthew B. Hastings , Roger G. Melko

Long-range interactions exhibit surprising features which have been less explored so far. Here, studying a one-dimensional fermionic chain with long-range hopping and pairing, we discuss some general features associated to the presence of…

Strongly Correlated Electrons · Physics 2022-10-18 Gianluca Francica , Luca Dell'Anna

Few facts are known about the entanglement entropy for disconnected regions in quantum field theory. We study here the property of extensivity of the mutual information, which holds for free massless fermions in two dimensions. We uncover…

High Energy Physics - Theory · Physics 2009-09-17 H. Casini , M. Huerta

Entanglement measures constitute powerful tools in the quantitative description of quantum many-body systems out of equilibrium. We study entanglement in the current-carrying steady state of a paradigmatic one-dimensional model of…

Quantum Physics · Physics 2023-10-30 Shachar Fraenkel , Moshe Goldstein

We analyze the dynamics of entanglement due to decoherence in a system of two identical fermions with spin $3/2$ interacting with a global bosonic environment. We resort to an appropriate measure of the so-called fermionic entanglement to…

Quantum Physics · Physics 2020-08-20 D. G. Bussandri , A. P. Majtey , A. Valdés-Hernández

We investigate the momentum-space entanglement between two Dirac quasiparticles in a double-layer honeycomb lattice coupled via a planar electromagnetic cavity. We model the low-energy excitations as massive Dirac fermions in $(1+2)$…

Quantum Physics · Physics 2026-04-28 Facundo Arreyes , Federico Escudero , Arián Gorza , Sebastián Ardenghi

Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

We consider a system of two indistinguishable fermions (with four accessible states each) that suffers decoherence without dissipation due to its coupling with a global bosonic bath at a fixed temperature. Using an appropriate measure of…

Quantum Physics · Physics 2025-05-23 E. Salinas , A. P. Majtey , A. Valdés-Hernández

In this paper we discuss the entanglement properties of a thermal non-relativistic free bosonic field. We demonstrate how to formally construct spatial modes in order to use a continuous variable separability criterion and show that the…

Quantum Physics · Physics 2007-06-13 L. Heaney , J. Anders , V. Vedral

We perform a reduction from three to two spatial dimensions of the physics of a spin-1/2 fermion coupled to the electromagnetic field, by applying Hadamard's method of descent. We consider first the free case, in which motion is determined…

We investigate the correlations between any number of arbitrarily far-apart regions of the vacuum of the free Klein-Gordon field by means of its finite duration coupling to an equal number of localized detectors. We show that the…

Quantum Physics · Physics 2009-11-11 J. Silman , B. Reznik

We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is…

High Energy Physics - Theory · Physics 2025-08-06 Thomas T. Dumitrescu , Juan Maldacena

We analyze the entanglement between two modes of a free Dirac field as seen by two relatively accelerated parties. The entanglement is degraded by the Unruh effect and asymptotically reaches a non-vanishing minimum value in the infinite…

Quantum Physics · Physics 2009-11-13 P. M. Alsing , I. Fuentes-Schuller , R. B. Mann , T. E. Tessier

We show that long-distance quantum correlations probe short-distance physics. Two disjoint regions of the latticized, massless scalar field vacuum are numerically demonstrated to become separable at distances beyond the negativity sphere,…

High Energy Physics - Theory · Physics 2021-12-01 Natalie Klco , Martin J. Savage
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