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We investigate multipartite information and entanglement measures in the ground state of a free-fermion model defined on a Hamming graph. Using the known diagonalization of the adjacency matrix, we solve the model and construct the…

Quantum Physics · Physics 2023-05-17 Gilles Parez , Pierre-Antoine Bernard , Nicolas Crampé , Luc Vinet

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

We compute the entanglement entropy of minimally coupled scalar fields on subtracted geometry black hole backgrounds, focusing on the logarithmic corrections. We notice that matching between the entanglement entropy of original black holes…

High Energy Physics - Theory · Physics 2015-06-22 Mirjam Cvetic , Zain H. Saleem , Alejandro Satz

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

The area law for entanglement provides one of the most important connections between information theory and quantum many-body physics. It is not only related to the universality of quantum phases, but also to efficient numerical simulations…

Quantum Physics · Physics 2020-09-09 Tomotaka Kuwahara , Keiji Saito

We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to…

High Energy Physics - Theory · Physics 2016-09-21 Stefan Leichenauer , Mudassir Moosa , Michael Smolkin

We investigate the entanglement between individual field theory modes in finite-density systems of interacting relativistic and non-relativistic fermions in one spatial dimension. We calculate the entanglement entropy for a single field…

High Energy Physics - Theory · Physics 2015-06-11 Ting-Chen Leo Hsu , Michael B. McDermott , Mark Van Raamsdonk

Quantum systems with short range interactions are known to respect an area law for the entanglement entropy: the von Neumann entropy $S$ associated to a bipartition scales with the boundary $p$ between the two parts. Here we study the case…

Quantum Physics · Physics 2010-02-03 Alioscia Hamma , Daniel A. Lidar , Simone Severini

The time dependent quantum Monte Carlo method for fermions is introduced and applied for calculation of entanglement of electrons in one-dimensional quantum dots with several spin-polarized and spin-compensated electron configurations. The…

Quantum Physics · Physics 2021-07-09 Ivan P. Christov

We investigate entanglement dynamics in bipartite systems governed by inhomogeneous Hamiltonians of the form $H = H_L + H_R$, where $H_{L/R}$ acts only on the left or right region and is homogeneous within each region. Focusing on the XX…

Statistical Mechanics · Physics 2026-05-05 Andrea Di Pasquale , Federico Rottoli , Vincenzo Alba

The area law for entanglement entropy fundamentally reflects the complexity of quantum many-body systems, demonstrating ground states of local Hamiltonians to be represented with low computational complexity. While this principle is…

Quantum Physics · Physics 2025-02-21 Donghoon Kim , Tomotaka Kuwahara

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

This paper deals with the asymptotic behaviour of a widely used correlation characteristic in large quantum systems. The correlations are known as quantum entanglement, the characteristic is called entanglement entropy, and the system is an…

Mathematical Physics · Physics 2026-03-12 Leonid Pastur , Mira Shamis

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

Strongly Correlated Electrons · Physics 2024-03-12 Miguel Gonçalves

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

Statistical Mechanics · Physics 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

A system of fermions forming a Fermi surface exhibits a large degree of quantum entanglement, even in the absence of interactions. In particular, the usual case of a codimension one Fermi surface leads to a logarithmic violation of the area…

Strongly Correlated Electrons · Physics 2017-06-14 Michael Pretko

We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We…

Quantum Physics · Physics 2026-04-28 Harikrishnan K J , Debasis Sadhukhan , Amit Kumar Pal

We describe an algorithm for studying the entanglement entropy and spectrum of 2D systems, as a coupled array of $N$ one dimensional chains in their continuum limit. Using the algorithm to study the quantum Ising model in 2D, (both in its…

Statistical Mechanics · Physics 2015-03-31 A. J. A. James , R. M. Konik

We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsystem dimension on which the Hamiltonian acts nontrivially is…

Quantum Physics · Physics 2013-11-06 Karel Van Acoleyen , Michaël Mariën , Frank Verstraete

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

High Energy Physics - Theory · Physics 2015-02-27 Stefan Leichenauer