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Nonequilibrium Green's functions provide a powerful framework for studying quantum many-body dynamics including the laser-induced dynamics in solids. The Non-Equilibrium Systems Simulation package (NESSi) offers an efficient platform for…

The nonequilibrium dynamics of correlated many-particle systems is of interest in connection with pump-probe experiments on molecular systems and solids, as well as theoretical investigations of transport properties and relaxation…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Michael Schüler , Denis Golež , Yuta Murakami , Nikolaj Bittner , Andreas Hermann , Hugo U. R. Strand , Philipp Werner , Martin Eckstein

The theory of Nonequilibrium Green functions (NEGF) has seen a rapid development over the recent three decades. Applications include diverse correlated many-body systems in and out of equilibrium. Very good agreement with experiments and…

Strongly Correlated Electrons · Physics 2026-04-02 Michael Bonitz , Jan-Philip Joost , Christopher Makait , Erik Schroedter , Tim Karsberger , Karsten Balzer

We propose a method to improve the computational and memory efficiency of numerical solvers for the nonequilibrium Dyson equation in the Keldysh formalism. It is based on the empirical observation that the nonequilibrium Green's functions…

Strongly Correlated Electrons · Physics 2023-07-31 Jason Kaye , Denis Golež

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…

Strongly Correlated Electrons · Physics 2024-07-11 Matthias Murray , Hiroshi Shinaoka , Philipp Werner

The time evolution in quantum many-body systems after external excitations is attracting high interest in many fields. The theoretical modeling of these processes is challenging, and the only rigorous quantum-dynamics approach that can…

Strongly Correlated Electrons · Physics 2020-07-01 J. -P. Joost , N. Schlünzen , 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…

Strongly Correlated Electrons · Physics 2014-09-10 Sebastian Hermanns , Niclas Schlünzen , Michael Bonitz

Real-time nonequilibrium Green functions (NEGF) have been very successful to simulate the dynamics of correlated many-particle systems far from equilibrium. However, NEGF simulations are computationally expensive since the effort scales…

Strongly Correlated Electrons · Physics 2023-12-27 Karsten Balzer , Niclas Schlünzen , Hannes Ohldag , Jan-Philip Joost , Michael Bonitz

Simulations of interacting electrons and bosons out of equilibrium, starting from first principles and aiming at realistic multiscale scenarios, is a grand theoretical challenge. Here, using the formalism of nonequilibrium Green's functions…

Strongly Correlated Electrons · Physics 2022-04-06 Yaroslav Pavlyukh , Enrico Perfetto , Daniel Karlsson , Robert van Leeuwen , Gianluca Stefanucci

The nonequilibrium Green's function (NEGF) formalism is a powerful tool to study the nonequilibrium dynamics of correlated lattice systems, but its applicability to realistic system sizes and long timescales is limited by unfavorable memory…

Strongly Correlated Electrons · Physics 2025-09-29 Maksymilian Środa , Ken Inayoshi , Michael Schüler , Hiroshi Shinaoka , Philipp Werner

The dynamics of strongly correlated fermions following an external excitation reveals extremely rich collective quantum effects. Examples are fermionic atoms in optical lattices, electrons in correlated materials, and dense quantum plasmas.…

Strongly Correlated Electrons · Physics 2020-02-26 Niclas Schluenzen , Jan-Philip Joost , Michael Bonitz

The nonequilibrium dynamics of strongly-correlated fermions in lattice systems have attracted considerable interest in the condensed matter and ultracold atomic-gas communities. While experiments have made remarkable progress in recent…

Strongly Correlated Electrons · Physics 2017-05-03 N. Schluenzen , J. -P. Joost , F. Heidrich-Meisner , M. Bonitz

Understanding the dynamics of nonequilibrium quantum many-body systems is an important research topic in a wide range of fields across condensed matter physics, quantum optics, and high-energy physics. However, numerical studies of…

Strongly Correlated Electrons · Physics 2024-12-11 Yuanran Zhu , Jia Yin , Cian C. Reeves , Chao Yang , Vojtech Vlcek

The nonequilibrium description of quantum systems requires, for more than two or three particles, the use of a reduced description to be numerically tractable. Two possible approaches are based on either reduced density matrices or…

Strongly Correlated Electrons · Physics 2013-09-19 S. Hermanns , K. Balzer , M. Bonitz

The Hartree-Fock-Bogoliubov (HFB) theory is the starting point for treating superconducting systems. However, the computational cost for solving large scale HFB equations can be much larger than that of the Hartree-Fock equations,…

Computational Physics · Physics 2019-12-24 Lin Lin , Xiaojie Wu

The Keldysh formalism for nonequilibrium Green's functions is a powerful theoretical framework for the description of the electronic structure, spectroscopy, and dynamics of strongly correlated systems. However, the underlying Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2022-04-13 Christopher Stahl , Nagamalleswararao Dasari , Jiajun Li , Antonio Picano , Philipp Werner , Martin Eckstein

We put forward a practical nonequilibrium Green's function (NEGF) scheme to perform real-time evolutions of many-body interacting systems driven out of equilibrium by external fields. CHEERS is a computational tool to solve the NEGF…

Other Condensed Matter · Physics 2018-10-09 E. Perfetto , G. Stefanucci

Through the Non-Equilibrium Green's Function (NEGF) formalism, quantum-scale device simulation can be performed with the inclusion of electron-phonon scattering. However, the simulation of realistically sized devices under the NEGF…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Stephen Cauley , Mathieu Luisier , Venkataramanan Balakrishnan , Gerhard Klimeck , Cheng-Kok Koh

We introduce diagrammatic technique for Hubbard nonequilibrium Green functions (NEGF). The formulation is an extension of equilibrium considerations for strongly correlated lattice models to description of current carrying molecular…

Mesoscale and Nanoscale Physics · Physics 2016-11-04 Feng Chen , Maicol A. Ochoa , Michael Galperin

We present a hybrid quantum-classical algorithm for the time evolution of out-of-equilibrium thermal states. The method depends upon classically computing a sparse approximation to the density matrix, and then time-evolving each matrix…

Quantum Physics · Physics 2018-10-31 Henry Lamm , Scott Lawrence
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