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We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time…

强关联电子 · 物理学 2008-08-14 V. Turkowski , J. K. Freericks

The effects of long-range interactions in quantum transport are still largely unexplored, mainly due to the difficulty of devising efficient embedding schemes. In this work we present a substantial progress in the interacting resonant level…

介观与纳米尺度物理 · 物理学 2011-10-25 E. Perfetto , G. Stefanucci , M. Cini

We apply a computationally efficient approach to study the time- and energy-resolved spectral properties of a two-site Hubbard model using the nonequilibrium Green's function formalism. By employing the iterative generalized Kadanoff-Baym…

强关联电子 · 物理学 2025-06-04 Yaroslav Pavlyukh , Riku Tuovinen

We calculate the time dependent nonequilibrium current through a single level quantum dot strongly coupled to a vibrational mode. The nonequilibrium real time dynamics caused by an instantaneous coupling of the leads to the quantum dot is…

We discuss the transient effects in the Anderson impurity model that occur when two fermionic continua with finite bandwidths are instantaneously coupled to a central level. We present results for the analytically solvable noninteracting…

介观与纳米尺度物理 · 物理学 2008-12-11 T. L. Schmidt , P. Werner , L. Muehlbacher , A. Komnik

In this work we study the role of bound electrons in quantum transport. The partition-free approach by Cini is combined with time-dependent density functional theory (TDDFT) to calculate total currents and densities in interacting systems.…

介观与纳米尺度物理 · 物理学 2009-11-11 Gianluca Stefanucci

Here we address two nonequilibrium Green's functions approaches for a resonant tunneling structure under a sudden switch of a bias. Our aim is to stress that the time-dependent Keldysh formulation of Jauho, Wingreen and Meir, and the…

介观与纳米尺度物理 · 物理学 2017-03-08 Mariana M. Odashima , Caio H. Lewenkopf

Stroboscopic wavepacket basis sets [P. Bokes, F. Corsetti, R. W. Godby, Phys. Rev. Lett. 101, 046402 (2008)] are specifically tailored for a description of time-dependent processes in extended systems like non-periodic geometries of various…

材料科学 · 物理学 2019-03-27 P. Bokes

We have developed a time propagation scheme for the Kadanoff-Baym equations for general inhomogeneous systems. These equations describe the time evolution of the nonequilibrium Green function for interacting many-body systems in the…

介观与纳米尺度物理 · 物理学 2015-05-13 Adrian Stan , Nils Erik Dahlen , Robert van Leeuwen

Three analytic solutions to the Schr\"{o}dinger equation for the time-dependent Landau-Zener Hamiltonian are presented. They correspond to specific finite-time driving paths in a bounded parameter space of a two-level system. Two of these…

量子物理 · 物理学 2023-05-24 Felipe Matus , Jan Střeleček , Pavel Cejnar

Lattice models are abundant in theoretical and condensed-matter physics. Generally, lattice models contain time-independent hopping and interaction parameters that are derived from the Wannier functions of the noninteracting problem. Here,…

量子物理 · 物理学 2011-04-19 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We formulate a set of conditions under which dynamics of a time-dependent quantum Hamiltonian are integrable. The main requirement is the existence of a nonabelian gauge field with zero curvature in the space of system parameters. Known…

Time-Dependent Density Functional Theory is mathematically formulated through non-linear coupled time-dependent 3-dimensional partial differential equations and it is natural to expect a strong sensitivity of its solutions to variations of…

统计力学 · 物理学 2022-04-06 Aurel Bulgac , Ibrahim Abdurrahman , Gabriel Wlazłowski

Working within the Nonequilibrium Green's Function (NEGF) formalism, a formula for the two-time current correlation function is derived for the case of transport through a nanojunction in response to an arbitrary time-dependent bias. The…

介观与纳米尺度物理 · 物理学 2017-05-03 Michael Ridley , Angus MacKinnon , Lev Kantorovich

We study the mapping between time-dependent densities and potentials for noninteracting electronic systems on lattices. As discovered recently by Baer [J. Chem. Phys. 128, 044103 (2008)], there exist well-behaved time-dependent density…

介观与纳米尺度物理 · 物理学 2009-11-13 Yonghui Li , C. A. Ullrich

We derive the exact n-point current expectation values in the Landauer-Buttiker non-equilibrium steady state of a multi terminal system with star graph geometry and a point-like defect localised in the vertex. The current cumulants are…

统计力学 · 物理学 2017-10-13 Mihail Mintchev , Luca Santoni , Paul Sorba

We derive an exact solution of an explicitly time-dependent multichannel model of quantum mechanical nonadiabatic transitions. Our model corresponds to the case of a single linear diabatic energy level interacting with a band of an…

量子物理 · 物理学 2017-02-27 J Lin , N A Sinitsyn

A method of solving the time-dependent Schr\"odinger equation is presented, in which a finite region of space is treated explicitly, with the boundary conditions for matching the wave-functions on to the rest of the system replaced by an…

材料科学 · 物理学 2009-11-13 J. E. Inglesfield

An extended Keldysh formalism, well suited to properly take into account the initial correlations, is used in order to deal with the time-dependent current response of a resonant tunneling system. We use a \textit{partition-free} approach…

介观与纳米尺度物理 · 物理学 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

统计力学 · 物理学 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch