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The bulk-edge correspondence for topological quantum liquids states that the spectrum of the reduced density matrix of a large subregion reproduces the thermal spectrum of a physical edge. This correspondence suggests an intricate…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle , T. Senthil

We use the formalism of geodesic Witten diagrams to study the holographic realization of the conformal block expansion for entanglement entropy of two disjoint intervals. The agreement between the Ryu-Takayanagi formula and the identity…

High Energy Physics - Theory · Physics 2019-07-24 Andrea Prudenziati

We define a relational notion of a subsystem in theories of matrix quantum mechanics and show how the corresponding entanglement entropy can be given as a minimisation, exhibiting many similarities to the Ryu-Takayanagi formula. Our…

High Energy Physics - Theory · Physics 2025-06-17 Jackson R. Fliss , Alexander Frenkel , Sean A. Hartnoll , Ronak M Soni

We consider entanglement entropy in quantum field theories with a gravity dual. In the gravity description, the leading order contribution comes from the area of a minimal surface, as proposed by Ryu-Takayanagi. Here we describe the one…

High Energy Physics - Theory · Physics 2015-06-16 Thomas Faulkner , Aitor Lewkowycz , Juan Maldacena

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

For quantum gravity states associated to open spin network graphs, we study how the entanglement entropy of the boundary degrees of freedom (spins on open edges) is affected by the bulk data, specifically by its combinatorial structure and…

High Energy Physics - Theory · Physics 2022-03-14 Goffredo Chirco , Eugenia Colafranceschi , Daniele Oriti

We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction. In a generic…

High Energy Physics - Theory · Physics 2021-06-24 Adam Levine , Arvin Shahbazi-Moghaddam , Ronak M Soni

We investigate a new proposal connecting the geometry at various radial scales in asymptotic AdS spacetime with entanglement structure at corresponding real-space length scales of the boundary theory. With this proposal, the bulk IR…

High Energy Physics - Theory · Physics 2024-07-29 Xin-Xiang Ju , Teng-Zhou Lai , Bo-Hao Liu , Wen-Bin Pan , Ya-Wen Sun

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit cell size of…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 J. A. M. van Ostaay , A. R. Akhmerov , C. W. J. Beenakker , M. Wimmer

The edge structure of a gate-defined compressible quantum Hall fluids in the filling fraction range 2/3 to 1 is studied using the three reconstructed $e^2/3h$ fractional edge modes of unity filling integer quantum Hall state. We find that…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Suvankar Purkait , Tanmay Maiti , Pooja Agarwal , Suparna Sahoo , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

The sharp \nu=1 quantum Hall edge present for hard confinement is shown to have two modes that go soft as the confining potential softens. This signals a second order transition to a reconstructed edge that is either a depolarized…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Karlhede , K. Lejnell

Quantum error-correcting codes provide a powerful framework for emergent spacetime, yet existing holographic code models describe only quantum fields on a fixed background: in exact erasure-correcting codes, the entropic area term is state…

High Energy Physics - Theory · Physics 2026-03-17 ChunJun Cao , Gong Cheng , Krishnanand Karthikeyan , Cathy Li , John Preskill

The multiscale entanglement renormalization ansatz is applied to the study of boundary critical phenomena. We compute averages of local operators as a function of the distance from the boundary and the surface contribution to the ground…

Quantum Physics · Physics 2015-05-14 P. Silvi , V. Giovannetti , P. Calabrese , G. E. Santoro , R. Fazio

The edge physics of the $\nu=5/2$ fractional quantum Hall state is of relevance to several recent experiments that use it as a probe to gain insight into the nature of the bulk state. We perform calculations in a semi-realistic setup with…

Strongly Correlated Electrons · Physics 2014-10-07 Yuhe Zhang , Ying-Hai Wu , Jimmy A. Hutasoit , Jainendra K. Jain

The Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulae suggest that bulk geometry emerges from the entanglement structure of the boundary theory. Using these formulae, we build on a result of Alexakis, Balehowsky, and Nachman to show…

High Energy Physics - Theory · Physics 2019-09-04 Ning Bao , ChunJun Cao , Sebastian Fischetti , Cynthia Keeler

Quantum critical points beyond the Landau paradigm exhibit fractionalized excitations and emergent gauge fields. Here, we use entanglement microscopy--full tomography of the reduced density matrix of small subregions and subsequent…

Strongly Correlated Electrons · Physics 2025-09-15 Menghan Song , Ting-Tung Wang , Liuke Lyu , William Witczak-Krempa , Zi Yang Meng

We investigate the edge reconstruction phenomenon believed to occur in quantum dots in the quantum Hall regime when the filling fraction is nu < 1. Our approach involves the examination of large dots (< 40 electrons) using a partial…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eyal Goldmann , Scot R. Renn

A given fractional quantum Hall state may admit multiple, distinct edge phases on its boundary. We explore the implications that multiple edge phases have for the entanglement spectrum and entropy of a given bulk state. We describe the…

Strongly Correlated Electrons · Physics 2015-08-12 Jennifer Cano , Taylor L. Hughes , Michael Mulligan

We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions only sharply emerge in the thermodynamic limit. The resulting…

Quantum Physics · Physics 2025-04-09 Lauritz van Luijk , Alexander Stottmeister , Henrik Wilming