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Real-time Green's function simulations of molecular junctions (open quantum systems) are typically performed by solving the Kadanoff-Baym equations (KBE). The KBE, however, impose a serious limitation on the maximum propagation time due to…

介观与纳米尺度物理 · 物理学 2015-06-17 S. Latini , E. Perfetto , A. -M. Uimonen , R. van Leeuwen , G. Stefanucci

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

Within the non-equilibrium Green's function (NEGF) formalism, the Generalized Kadanoff-Baym Ansatz (GKBA) has stood out as a computationally cheap method to investigate the dynamics of interacting quantum systems driven out of equilibrium.…

强关联电子 · 物理学 2018-10-03 Daniel Karlsson , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

We reconsider the Generalized Kadanoff--Baym Ansatz (GKBA) approximation for non-equilibrium Green's functions and extend it to self-consistently define an equilibrium correlated (within GKBA) state in closed systems. The advantage of the…

介观与纳米尺度物理 · 物理学 2019-02-20 Miroslav Hopjan , Claudio Verdozzi

The generalized Kadanoff-Baym ansatz (GKBA) is an approximation to the Kadanoff-Baym equations (KBE), that neglects certain memory effects that contribute to the Green's function at non-equal times. Here we present arguments and numerical…

计算物理 · 物理学 2023-09-06 Cian C. Reeves , Yuanran Zhu , Chao Yang , Vojtech Vlcek

We present a quantum kinetic approach for the time-resolved description of many-body effects in photoionization processes in atoms. The method is based on the non-equilibrium Green functions formalism and solves the Keldysh/Kadanoff-Baym…

原子物理 · 物理学 2015-05-13 D. Hochstuhl , K. Balzer , S. Bauch , M. Bonitz

Understanding time-resolved quantum transport is crucial for developing next-generation quantum technologies, particularly in nano- and molecular junctions subjected to time-dependent perturbations. Traditional steady-state approaches to…

介观与纳米尺度物理 · 物理学 2025-10-16 R. Tuovinen , Y. Pavlyukh

Electron dynamics in a two-sites Hubbard model is studied using the nonequilibrium Green's function approach. The study is motivated by the empirical observation that a full solution of the integro-differential Kadanoff-Baym equation (KBE)…

强关联电子 · 物理学 2024-01-23 Yaroslav Pavlyukh

The non-equilibrium Green's function gives access to one-body observables for quantum systems. Of particular interest are quantities such as density, currents, and absorption spectra which are important for interpreting experimental results…

计算物理 · 物理学 2025-05-02 Thomas Blommel , David J. Gardner , Carol S. Woodward , Emanuel Gull

The generalized Kadanoff-Baym ansatz (GKBA) offers a computationally inexpensive approach to simulate out-of-equilibrium quantum systems within the framework of nonequilibrium Green's functions. For finite systems the limitation of…

介观与纳米尺度物理 · 物理学 2021-03-02 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

The nonequilibrium Green's function formalism provides a versatile and powerful framework for numerical studies of nonequilibrium phenomena in correlated many-body systems. For calculations starting from an equilibrium initial state, a…

强关联电子 · 物理学 2024-07-11 Matthias Murray , Hiroshi Shinaoka , Philipp Werner

Non-equilibrium Green's Function (NGF) method is a powerful tool for studying the evolution of quantum many-body systems. Different types of correlations can be systematically incorporated within the formalism. The time evolution of the…

核理论 · 物理学 2018-01-17 M. H. Mahzoon , P. Danielewicz , A. Rios

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

A fast time propagation method for nonequilibrium Green's functions based on the generalized Kadanoff--Baym Ansatz (GKBA) is applied to a lattice system with a symmetry-broken equilibrium phase, namely an excitonic insulator. The adiabatic…

For a minimal Hubbard-type system at different interaction strengths U, we investigate the density-response for an excitation beyond the linear regime using the generalized Kadanoff-Baym ansatz (GKBA) and the second Born (2B) approximation.…

强关联电子 · 物理学 2015-06-12 K. Balzer , S. Hermanns , M. Bonitz

A nonequilibrium Green's functions approach to the collective response of correlated Coulomb systems at finite temperature is presented. It is shown that solving Kadanoff-Baym type equations of motion for the two-time correlation functions…

强关联电子 · 物理学 2009-02-11 N. -H. Kwong , M. Bonitz

A generalized quantum kinetic equation (RKE) of the Kadanoff-Baym type is obtained on the basis of the Heisenberg equations of motion where the time evolution and space translation are separated from each other by means of the covariant…

高能物理 - 唯象学 · 物理学 2009-10-31 S. A. Smolyansky , A. V. Prozorkevich , G. Maino , S. G. Mashnik

For a quantum many-body system, the direct population of states of double-excitation character is a clear indication that correlations importantly contribute to its nonequilibrium properties. We analyze such correlation-induced transitions…

强关联电子 · 物理学 2012-06-25 K. Balzer , S. Hermanns , M. Bonitz

The Hubbard model is a prototype for strongly correlated many-particle systems, including electrons in condensed matter and molecules, as well as for fermions or bosons in optical lattices. While the equilibrium properties of these systems…

强关联电子 · 物理学 2014-09-10 Sebastian Hermanns , Niclas Schlünzen , Michael Bonitz

The extraordinary quantum properties of nonequilibrium systems governed by dissipative dynamics have become a focal point in contemporary scientific inquiry. The Nonequilibrium Green's Functions (NEGF) theory provides a versatile method for…

材料科学 · 物理学 2024-02-19 Gianluca Stefanucci
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