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We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part…

High Energy Physics - Theory · Physics 2016-09-21 Peter A. R. Jones , Marika Taylor

We compute the entanglement entropy in a two dimensional conformal field theory at finite size and finite temperature in the large central charge limit via the replica trick. We first generalize the known monodromy method for the…

High Energy Physics - Theory · Physics 2024-10-30 Marius Gerbershagen

Entanglement is the powerful and enigmatic resource central to quantum information processing, which promises capabilities in computing, simulation, secure communication, and metrology beyond what is possible for classical devices. Exactly…

In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large $N$ models at strong coupling. Our results show that the $1/N$ quantum corrections to the Fisher information metric (interpreted as a local…

High Energy Physics - Theory · Physics 2022-04-07 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

High Energy Physics - Theory · Physics 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

An efficient scheme to compute the geometric entanglement per lattice site for quantum many-body systems on a periodic finite-size chain is proposed in the context of a tensor network algorithm based on the matrix product state…

Statistical Mechanics · Physics 2015-05-28 Bing-Quan Hu , Xi-Jing Liu , Jin-Hua Liu , Huan-Qiang Zhou

Classical probability distributions on sets of sequences can be modeled using quantum states. Here, we do so with a quantum state that is pure and entangled. Because it is entangled, the reduced densities that describe subsystems also carry…

Quantum Physics · Physics 2020-12-10 Tai-Danae Bradley , E. Miles Stoudenmire , John Terilla

We present the theory of a density matrix renormalization group (DMRG) algorithm which can solve for both the ground and excited states of non-Hermitian transcorrelated Hamiltonians, and show applications in \emph{ab initio} molecular…

We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state entanglement entropy, which is equal to the logarithm of the…

Strongly Correlated Electrons · Physics 2021-06-01 Bowen Shi , Isaac H. Kim

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite…

High Energy Physics - Theory · Physics 2016-09-21 Bin Chen , Jie-qiang Wu

Accurate simulations of the two-dimensional (2D) Hubbard model constitute one of the most challenging problems in condensed matter and quantum physics. Here we develop a tangent space tensor renormalization group (tanTRG) approach for the…

Strongly Correlated Electrons · Physics 2023-06-07 Qiaoyi Li , Yuan Gao , Yuan-Yao He , Yang Qi , Bin-Bin Chen , Wei Li

The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource…

We reconstruct entanglement thermodynamics by means of Hessian geometry, since this method exactly generalizes thermodynamics into much wider exponential family cases including quantum entanglement. Starting with the correct first law of…

High Energy Physics - Theory · Physics 2015-08-12 Hiroaki Matsueda

The holographic entanglement entropy is computed for an entangling surface that coincides with the horizon of a boundary de Sitter metric. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a…

High Energy Physics - Theory · Physics 2020-06-17 Nikolaos Tetradis

In this work, we explore the effects of a quantum quench on the entanglement measures of a two-body coupled oscillator system having quartic interaction. We use the invariant operator method, under a perturbative framework, for computing…

High Energy Physics - Theory · Physics 2022-07-08 Sayantan Choudhury , Rakshit Mandish Gharat , Saptarshi Mandal , Nilesh Pandey , Abhishek Roy , Partha Sarker

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

Statistical Mechanics · Physics 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

Many recent tensor network algorithms apply unitary operators to parts of a tensor network in order to reduce entanglement. However, many of the previously used iterative algorithms to minimize entanglement can be slow. We introduce an…

Quantum Physics · Physics 2022-01-25 Kevin Slagle

We consider a many-body Hilbert space with a fixed global charge and show that the typical entanglement entropy of a subsystem, at the leading and subleading order in the thermodynamic limit, can be expressed in terms of a single quantity…

Quantum Physics · Physics 2026-04-30 Eugenio Bianchi , Pietro Donà , Erick Muiño

We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed…

High Energy Physics - Theory · Physics 2019-03-06 Rajesh Narayanan , Chanyong Park , Yun-Long Zhang