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We propose a novel approach to nonequilibrium real-time dynamics of quantum impurities models coupled to biased non-interacting leads, such as those relevant to quantum transport in nanoscale molecular devices. The method is based on a…

Strongly Correlated Electrons · Physics 2015-05-13 Marco Schiro` , Michele Fabrizio

The mean field approximation is used to investigate the general features of the dynamics of a two-level atom in a ferromagnetic lattice close to the Curie temperature. Various analytical and numerical results are obtained. We first…

Quantum Physics · Physics 2023-07-07 Yamen Hamdouni

We propose a time-dependent many-body approach to study the short-time dynamics of correlated electrons in quantum transport through nanoscale systems contacted to metallic leads. This approach is based on the time-propagation of the…

Mesoscale and Nanoscale Physics · Physics 2011-11-28 Petri Myohanen , Adrian Stan , Gianluca Stefanucci , Robert van Leeuwen

The dynamical-mean-field method is applied to investigate the transport properties of heterostructures consisting of a strongly-correlated electron system connected to metallic leads. The spectral function inside the correlated region is…

Strongly Correlated Electrons · Physics 2008-09-12 Satoshi Okamoto

We develop a non-equilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems…

Strongly Correlated Electrons · Physics 2014-09-10 Denis Lacroix , S. Hermanns , C. M. Hinz , M. Bonitz

In classical mechanics, external constraints on the dynamical variables can be easily implemented within the Lagrangian formulation. Conversely, the extension of this idea to the quantum realm, which dates back to Dirac, has proven…

Quantum Physics · Physics 2021-02-25 André M. Timpanaro , Sascha Wald , Fernando Semião , Gabriel T. Landi

We describe how to use quantum linear algebra to simulate a physically realistic model of disordered non-interacting electrons. The physics of disordered electrons outside of one dimension challenges classical computation due to the…

Quantum Physics · Physics 2025-04-25 Jielun Chen , Garnet Kin-Lic Chan

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

Strongly Correlated Electrons · Physics 2007-08-23 J. Reiss , D. Rohe , W. Metzner

In this paper we first derive a Coulomb Hamiltonian for electron--electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch model, which happens to be nonlinear in the density matrix.…

Mathematical Physics · Physics 2014-02-13 Brigitte Bidégaray-Fesquet , Kole Keita

We present an approach to extend plasma transport theory into the Warm Dense Matter (WDM) regime characterized by moderate Coulomb coupling and electron degeneracy. It is based on a recently proposed closure of the BBGKY hierarchy that…

Plasma Physics · Physics 2020-01-31 Shane Rightley , Scott D. Baalrud

We present an approach for carrying out non-adiabatic molecular dynamics simulations of systems in which non-adiabatic transitions arise from the coupling between the classical atomic motions and a quasi-continuum of electronic quantum…

Computational Physics · Physics 2018-11-21 Jerome Daligault , Dmitry Mozyrsky

The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 G. Schwiete

Quantum embedding approaches involve the self-consistent optimization of a local fragment of a strongly correlated system, entangled with the wider environment. The `energy-weighted' density matrix embedding theory (EwDMET) was established…

Strongly Correlated Electrons · Physics 2021-02-23 P. V. Sriluckshmy , Max Nusspickel , Edoardo Fertitta , George H. Booth

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

This thesis is devoted to studying aspects of real-time nonequilibrium dynamics in quantum field theory by implementing an initial value formulation of quantum field theory. The main focus is on the linear relaxation of mean fields and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shang-Yung Wang

Using the Lindblad equation approach, we derive the range of the parameters of an interacting one-dimensional electronic chain connected to two reservoirs in the large bias limit in which an optimal working point (corresponding to a change…

Strongly Correlated Electrons · Physics 2021-03-23 Andrea Nava , Marco Rossi , Domenico Giuliano

We investigate the dynamical mean-field theory (DMFT) from a quantum chemical perspective. Dynamical mean-field theory offers a formalism to extend quantum chemical methods for finite systems to infinite periodic problems within a local…

Strongly Correlated Electrons · Physics 2016-11-15 Dominika Zgid , Garnet Kin-Lic Chan

We investigate the many-particle and mean-field correspondence for a non-Hermitian N-particle Bose-Hubbard dimer where a complex onsite energy describes an effective decay from one of the modes. Recently a generalized mean-field…

Quantum Physics · Physics 2010-07-22 Eva-Maria Graefe , Hans Jürgen Korsch , Astrid Elisa Niederle

Based on the formalism of thermo field dynamics we propose a concept of nonequilibrium Fock space and nonequilibrium quasiparticles for quantum many-body system in nonequilibrium steady state. We develop a general theory as well as…

Statistical Mechanics · Physics 2009-11-04 D. S. Kosov