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Using conformal field theory and integrability ideas, we give a full characterization of the low temperature regime of the anisotropic interacting resonant level (IRLM) model. We determine the low temperature corrections to the linear…

Strongly Correlated Electrons · Physics 2009-11-13 E. Boulat , H. Saleur

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one dimensional systems with a…

Statistical Mechanics · Physics 2010-05-07 Ian Affleck , Nicolas Laflorencie , Erik S. Sorensen

We study the spectral density of electrons rho in an interacting quantum dot (QD) with a hybridization lambda to a non-interacting QD, which in turn is coupled to a non-interacting conduction band. The system corresponds to an impurity…

Strongly Correlated Electrons · Physics 2009-11-13 L. Vaugier , A. A. Aligia , A. M. Lobos

We study a quantum impurity coupled to the edge states of a two-dimensional helical topological superconductor, i.e., to a pair of counterpropagating Majorana fermion edge channels with opposite spin polarizations. For an impurity described…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko , Pascal Simon

Thermal equilibrium states of local quantum many-body systems are notorious for their spatially decaying correlations, which place severe restrictions on the types of many-body entanglement structures that may be observed at finite…

Quantum Physics · Physics 2024-07-24 Shachar Fraenkel , Moshe Goldstein

We investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments. To quantify entanglement in the presence of spatial inhomogeneity, we propose a local-density approximation (LDA) to the entanglement…

Strongly Correlated Electrons · Physics 2008-03-24 V. V. França , K. Capelle

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such…

High Energy Physics - Theory · Physics 2015-06-23 Francesco Aprile , Vasilis Niarchos

The effect of unstable quasiparticles in the out-of-equilibrium dynamics of certain integrable systems has been the subject of several recent studies. In this paper we focus on the stationary value of the entanglement entropy density, its…

High Energy Physics - Theory · Physics 2023-04-24 David X. Horvath , Pasquale Calabrese , Olalla A. Castro-Alvaredo

We propose an out-of-equilibrium impurity model for the dynamical mean-field description of the Hubbard model driven by a finite electric field. The out-of-equilibrium impurity environment is represented by a collection of equilibrium…

Strongly Correlated Electrons · Physics 2013-03-14 Camille Aron , Cedric Weber , Gabriel Kotliar

We investigate the nonequilibrium dynamics and loss of coherence in a quantum impurity system using the spinless resonant level model subject to sudden quenches of the hybridization between the impurity and the metal. The survival…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Felipe D. Picoli , Gustavo Diniz , Luiz N. Oliveira

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

Quantum Gases · Physics 2016-10-12 William J. Porter , Joaquín E. Drut

We theoretically investigate the non-equilibrium quantum phase transition in a generic setup: the pseudogap Kondo model where a quantum dot couples to two-left (L) and right (R)-voltage-biased fermionic leads with power-law density of…

Strongly Correlated Electrons · Physics 2015-05-28 Chung-Hou Chung , Kenneth Yi-Jie Zhang

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are…

In this PhD thesis we investigate some properties of one-dimensional quantum systems, focusing on two important aspects of integrable models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum…

Statistical Mechanics · Physics 2013-03-13 Stefano Evangelisti

We discuss how to extend the impurity entropy to systems with boundary interactions depending on zero-mode real fermion operators (Majorana modes as well as Klein factors). As specific applications of our method, we consider a junction…

Strongly Correlated Electrons · Physics 2019-05-23 Domenico Giuliano , Ian Affleck

The out-of-equilibrium transport properties of a double quantum dot system in the Kondo regime are studied theoretically by means of a two-impurity Anderson hamiltonian with interimpurity hopping. The hamiltonian is solved by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ramon Aguado , David C. Langreth

We study the non-equilibrium dynamics of a spinful single-orbital quantum dot with an incorporated quantum mechanical spin-1/2 magnetic impurity. Due to the spin degeneracy, double occupancy is allowed, and Coulomb interaction together with…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Daniel Becker , Stephan Weiss , Michael Thorwart , Daniela Pfannkuche

We study the out-of-equilibrium dynamics of one-dimensional quantum Ising models in a transverse field $g$, driven by a time-dependent longitudinal field $h$ across their {\em magnetic} first-order quantum transition at $h=0$, for…

Statistical Mechanics · Physics 2025-06-13 Andrea Pelissetto , Davide Rossini , Ettore Vicari

Using renormalization group techniques, we study spectral and transport properties of a spinless interacting quantum dot consisting of two levels coupled to metallic reservoirs. For strong Coulomb repulsion $U$ and an applied Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daniel Boese , Walter Hofstetter , Herbert Schoeller