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We derive the entanglement entropy of chiral fermions on the circle at arbitrary temperature. The spin-sector contribution depends only on the total length of the entangling region, regardless of the configuration of the intervals. Thus…

High Energy Physics - Theory · Physics 2019-11-27 Pascal Fries , Ignacio A. Reyes

We present a study of the spectral properties like the energy spectrum, the eigenmodes and density of states of a classical finite system of two-dimensional (2D) charged particles which are confined by a quadratic potential. Using the…

Condensed Matter · Physics 2007-05-23 V. A. Schweigert , F. M. Peeters

We employ an ensemble of hydrodynamic cluster simulations to create spatially and spectrally resolved images of quality comparable to Chandra's expected performance. Emission from simulation mass elements is represented using the XSPEC…

Astrophysics · Physics 2009-10-31 Benjamin F. Mathiesen , August E. Evrard

Cluster dynamical mean field and maximum entropy analytical continuation methods are used to obtain theoretical estimates for the many-body density of states, electron self-energy, in-plane and c-axis optical conductivity and the $B_{1g}$…

Strongly Correlated Electrons · Physics 2010-07-15 Nan Lin , Emanuel Gull , Andrew J. Millis

Entanglement temperature is an interesting quantity which relates the increased amount of entanglement entropy and energy for a weakly excited state in entanglement first-law, it is proportional to the inverse of the size of the…

High Energy Physics - Theory · Physics 2016-04-25 Xiao-Bao Xu , Gu-Qiang Li , Jie-Xiong Mo

We investigate the possibility and stability of bandferromagnetism in the single-band Hubbard model. This model poses a highly non-trivial many-body problem the general solution of which has not been found up to now. Approximations are…

Strongly Correlated Electrons · Physics 2007-05-23 W. Nolting , M. Potthoff , T. Herrmann , T. Wegner

Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged $U(N)$ matrix quantum mechanics with two matrices whose ground…

High Energy Physics - Theory · Physics 2022-06-08 Alexander Frenkel , Sean A. Hartnoll

The Hubbard model on fcc-type lattices is studied in the dynamical mean-field theory of infinite spatial dimensions. At intermediate interaction strength finite temperature Quantum Monte Carlo calculations yield a second order phase…

Strongly Correlated Electrons · Physics 2009-10-30 Martin Ulmke

We study the "entanglement spectrum" (a presentation of the Schmidt decomposition analogous to a set of "energy levels") of a many-body state, and compare the Moore-Read model wavefunction for the $\nu$ = 5/2 fractional quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2008-07-07 Hui Li , F. D. M. Haldane

We derive an analytical density functional for the single-site entanglement of the one-dimensional homogeneous Hubbard model, by means of an approximation to the linear entropy. We show that this very simple density functional reproduces…

Quantum Physics · Physics 2012-09-18 Vivian V. França , Irene D'Amico

The study of entanglement in strongly correlated electron systems typically requires knowledge of the reduced density matrix. Here, we apply the parquet dynamical vertex approximation to study the two-site reduced density matrix at varying…

Strongly Correlated Electrons · Physics 2026-01-28 Frederic Bippus , Anna Kauch , Gergő Roósz , Christian Mayrhofer , Fakher Assaad , Karsten Held

The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the $SO(4)$ symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of…

Condensed Matter · Physics 2009-10-22 Alessandro Pelizzola

We investigate of the relationship between the entanglement and subsystem Hamiltonians in the perturbative regime of strong coupling between subsystems. One of the two conditions that guarantees the proportionality between these…

Strongly Correlated Electrons · Physics 2017-11-16 Sonja Predin

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed…

Materials Science · Physics 2015-05-28 Riccardo Fantoni , Kristian K. Muller-Nedebock

We examine the snapshot entropy of general fractal images defined by their singular values. Remarkably, the singular values for a large class of fractals are in exact correspondence with the entanglement spectrum of free fermions in one…

Statistical Mechanics · Physics 2015-06-18 Ching Hua Lee , Yuki Yamada , Tatsuya Kumamoto , Hiroaki Matsueda

We present a cluster dynamical mean-field treatment of the Hubbard model on a square lattice to study the evolution of magnetism and quasiparticle properties as the electron filling and interaction strength are varied. Our approach for…

Strongly Correlated Electrons · Physics 2009-11-10 E. C. Carter , A. J. Schofield

I propose the multi-mode squeezed thermal state based on the multi-mode pure entangled state. The correlation matrix of the state is characterized by two parameters. I then analysis the separable condition for this state, and calculating…

Quantum Physics · Physics 2009-11-10 Xiao-yu Chen

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These…

Statistical Mechanics · Physics 2017-01-19 John Cardy , Erik Tonni