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The optical conductivity of the one-band Hubbard model is calculated using the 'Dynamical Cluster Approximation' implementation of dynamical mean field theory for parameters appropriate to high temperature copper-oxide superconductors. The…

Strongly Correlated Electrons · Physics 2009-10-29 Nan Lin , Emanuel Gull , A. J. Millis

We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian,…

Statistical Mechanics · Physics 2014-06-26 G. Torlai , L. Tagliacozzo , G. De Chiara

We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for the resulting entanglement spectrum in…

Statistical Mechanics · Physics 2013-05-13 John Schliemann

The reduced density matrix of a given subsystem, denoted by $\rho_A$, contains the information on subregion duality in a holographic theory. We may extract the information by using the spectrum (eigenvalue) of the matrix, called…

High Energy Physics - Theory · Physics 2021-02-24 Wu-zhong Guo

Entanglement plays an important role in our ability to understand, simulate, and harness quantum many-body phenomena. In this work, we investigate the entanglement spectrum for open one-dimensional systems, and propose a natural quantifier…

Quantum Physics · Physics 2018-08-01 Evert van Nieuwenburg , Oded Zilberberg

Bipartite entanglement measures are fantastic tools to investigate quantum phases of correlated electrons. Here, I analyze the entanglement spectrum of **gapped** two-leg quantum Heisenberg ladders on a periodic ribbon partitioned into two…

Strongly Correlated Electrons · Physics 2015-03-17 Didier Poilblanc

In this paper, we study three specific aspects of entanglement in small spin clusters. We first study the effect of inhomogeneous exchange coupling strength on the entanglement properties of the S=1/2 antiferromagnetic linear chain tetramer…

Quantum Physics · Physics 2007-05-23 Amit Tribedi , Indrani Bose

We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1+1 dimensions. Working directly in the continuum theory the reflected entropy can be extracted from the spectrum of a…

High Energy Physics - Theory · Physics 2023-03-22 Souvik Dutta , Thomas Faulkner , Simon Lin

The entanglement spectrum of a bipartite quantum system is given by the distribution of eigenvalues of the modular Hamiltonian. In this work, we compute the entanglement spectrum in the vacuum state for a subregion of a $d$-dimensional…

High Energy Physics - Theory · Physics 2024-11-05 Stefano Baiguera , Shira Chapman , Christian Northe , Giuseppe Policastro , Tal Schwartzman

We present studies of thermal entanglement of a three-spin system in triangular symmetry. Spin correlations are described within an effective Heisenberg Hamiltonian, derived from the Hubbard Hamiltonian, with super-exchange couplings…

Mesoscale and Nanoscale Physics · Physics 2013-12-13 M. Urbaniak , S. B. Tooski , A. Ramsak , B. R. Bulka

The entanglement spectroscopy, initially introduced by Li and Haldane in the context of the fractional quantum Hall effects, has stimulated an extensive range of studies. The entanglement spectrum is the spectrum of the reduced density…

Strongly Correlated Electrons · Physics 2015-10-28 N. Regnault

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of…

Strongly Correlated Electrons · Physics 2020-07-16 Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu

We study the entanglement properties of the one-dimensional dimerized Fermi-Hubbard model. Using a matrix-product-state approach, we compute the ground state and identify two insulating phases at 1/2- and 3/4-filling, along with a metallic…

Strongly Correlated Electrons · Physics 2026-02-25 Min-Chul Cha , Hoon Beom Kwon , Ji-Woo Lee , Myung-Hoon Chung

We study the entanglement properties of a molecular three-qubit system described by the Heisenberg spin Hamiltonian with anisotropic exchange interactions and including an external magnetic field. The system exhibits first order quantum…

Quantum Physics · Physics 2015-05-14 Amit Kumar Pal , Indrani Bose

We study the entanglement properties of a quantum lattice-gas model for which we can find the exact ground state (of the Rokhsar-Kivelson type). The ground state can be expressed as a superposition of states, each of which is characterized…

Statistical Mechanics · Physics 2012-09-20 Shu Tanaka , Ryo Tamura , Hosho Katsura

Entanglement has been widely investigated in condensed matter systems since they are considered good candidates for developing quantum technologies. Additionally, entanglement is a powerful tool to explore quantum phase transitions in…

The entanglement between two parts of a many-body system can be characterized in detail by the entanglement spectrum. Focusing on gapped phases of one-dimensional systems, we show how this spectrum is dominated by contributions from the…

Strongly Correlated Electrons · Physics 2012-06-08 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

We present momentum resolved single-particle spectra for the three-dimensional Hubbard model for the paramagnetic and antiferromagnetically ordered phase obtained within the dynamical cluster approximation. The effective cluster problem is…

Strongly Correlated Electrons · Physics 2011-06-10 Sebastian Fuchs , Emanuel Gull , Matthias Troyer , Mark Jarrell , Thomas Pruschke

We provide a proof that entanglement of any density matrix which block diagonal in subspaces which are disjoint in terms of the Hilbert space of one of the two potentially entangled subsystems can simply be calculated as the weighted…

Quantum Physics · Physics 2025-04-01 Mikołaj Jędrzejewski , Kacper Kinastowski , Katarzyna Roszak

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

Strongly Correlated Electrons · Physics 2020-11-04 Xavier Plat , Chisa Hotta