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We present results for many-body perturbation theory for the one-body Green's function at finite temperatures using the Matsubara formalism. Our method relies on the accurate representation of the single-particle states in standard Gaussian…

Strongly Correlated Electrons · Physics 2018-04-04 Michael Schüler , Yaroslav Pavlyukh

The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving…

Statistical Mechanics · Physics 2021-01-13 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

The increasing interest in nonequilibrium effects in condensed matter theory motivates the adaption of diverse equilibrium techniques to Keldysh formalism. For methods based on multi-particle Green or vertex functions this involves a…

Strongly Correlated Electrons · Physics 2010-03-03 Severin G. Jakobs , Mikhail Pletyukhov , Herbert Schoeller

The quasiparticle wavefunction of a many-electron system is traditionally defined as the eigenfunction of the quasiparticle eigenvalue equation involving the self-energy. In this article a new concept of a quasiparticle wavefunction is…

Strongly Correlated Electrons · Physics 2024-12-05 F. Aryasetiawan , K. Karlsson

The Green's function method in the \emph{Quasiparticle Time Blocking Approximation} is applied to nuclear excitations in $^{132}$Sn and $^{208}$Pb. The calculations are performed self-consistently using a Skyrme interaction. The method…

Nuclear Theory · Physics 2008-11-26 N. Lyutorovich , J. Speth , A. Avdeenkov , F. Gruemmer , S. Kamerdzhiev , S. Krewald , V. I. Tselyaev

We present a hybrid quantum-classical Green's function Monte Carlo (GFMC) algorithm for estimating the excited states of the nuclear shell model. The conventional GFMC method, widely used to find the ground state of a quantum many-body…

Quantum Physics · Physics 2025-08-25 Yongdan Yang , Ruyu Yang , Xiaosi Xu

In order to account for competition and interplay of localized and itinerant magnetic behaviour in correlated many body systems with complex spectra the various types of spin-fermion models have been considered in the context of the…

Strongly Correlated Electrons · Physics 2009-11-07 A. L. Kuzemsky

We establish quantitative Green's function estimates for a class of quasi-periodic (QP) operators on $\mathbb{Z}^d$ with certain slowly decaying long-range hopping and analytic cosine type potentials. As applications, we prove the…

Mathematical Physics · Physics 2025-07-30 Li Wen , Yuan Wu

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…

Atomic Physics · Physics 2015-05-13 D. Hochstuhl , K. Balzer , S. Bauch , M. Bonitz

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

A computationally efficient Green's function approach is developed to evaluate the optical properties of nanostructures using a GW formalism applied on top of a tight-binding and mean-field Hubbard model. The use of the GW approximation…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Antoine Honet , Luc Henrard , Vincent Meunier

We develop a Green's function approach for the nonequilibrium dynamics of multi-level quantum dots coupled to multiple fermionic reservoirs in the presence of a bosonic environment. Our theory is simpler than the Keldysh approach and goes…

Mesoscale and Nanoscale Physics · Physics 2025-03-19 Kateryna Zatsarynna , Andrea Nava , Reinhold Egger , Alex Zazunov

We have developed a fully consistent framework for calculations in the Quasiparticle Random Phase Approximation (QRPA) with $NN$ interactions from the Similarity Renormalization Group (SRG) and other unitary transformations of realistic…

Nuclear Theory · Physics 2011-07-04 H. Hergert , P. Papakonstantinou , R. Roth

Nonequilibrium Green's functions represent underutilized means of studying the time evolution of quantum many-body systems. In view of a rising computer power, an effort is underway to apply the Green's functions formalism to the dynamics…

Nuclear Theory · Physics 2008-11-26 Arnau Rios , Pawel Danielewicz

We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a…

Materials Science · Physics 2025-08-07 S. S. Krishtopenko , A. V. Ikonnikov , F. Hartmann , S. Höfling , B. Jouault , F. Teppe

When one tries to take into account the non-trivial vacuum structure of Quantum Field Theory, the standard functional-integral tools such as generating functionals or transitional amplitudes, are often quite inadequate for such purposes.…

High Energy Physics - Theory · Physics 2017-11-15 Massimo Blasone , Petr Jizba , Luca Smaldone

In non-equilibrium Green's function calculations the use of the Generalized Kadanoff-Baym Ansatz (GKBA) allows for a simple approximate reconstruction of the two-time Green's function from its time-diagonal value. With this a drastic…

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

We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to…

Strongly Correlated Electrons · Physics 2020-12-09 D. Rohe , C. Honerkamp

A relativistic model for quasielastic (QE) lepton-nucleus scattering is presented. The effects of final-state interactions (FSI) between the ejected nucleon and the residual nucleus are described in the relativistic Green's function (RGF)…

Nuclear Theory · Physics 2013-04-09 Andrea Meucci , Carlotta Giusti

Models developed for the exclusive and inclusive quasielastic (QE) electron-nucleus scattering have been extended to QE neutrino-nucleus scattering. Different descriptions of final-state interactions (FSI) are compared. For the inclusive…

Nuclear Theory · Physics 2015-05-28 Carlotta Giusti , Andrea Meucci