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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

We show that the single-particle Green's functions used in many body theory have an elegant description in the form of hyperfunctions. We summarize the necessary hyperfunction concepts. We show that the analytical properties and the…

Strongly Correlated Electrons · Physics 2022-04-22 Roman Smit

First theoretical and numerical results on the global structure of the energy shell, the Green function spectra and the eigenfunctions, both localized and ergodic, in a generic conservative quantum system are presented. In case of quantum…

Condensed Matter · Physics 2009-10-28 G. Casati , B. V. Chirikov , I. Guarneri , F. M. Izrailev

We present a new charge self-consistent scheme combining Density Functional and Dynamical Mean Field Theory, which uses Green's function of multiple scattering-type. In this implementation the many-body effects are incorporated into the…

Strongly Correlated Electrons · Physics 2017-10-11 A. Östlin , L. Vitos , L. Chioncel

The problem of the microscopic description of excited states of the even-even open-shell atomic nuclei is considered. A model is formulated which allows one to go beyond the quasiparticle random phase approximation. The physical content of…

Nuclear Theory · Physics 2009-11-11 V. I. Tselyaev

Theory of non-equilibrium Green's function (NGF) provides a practical framework for studying quantum many-body systems out of equilibrium. Extending the previous mean field approach developed for nuclear systems in one dimension with NGF,…

Nuclear Theory · Physics 2020-08-26 Hao Lin , Hossein Mahzoon , Arnau Rios , Pawel Danielewicz

The cumulant expansion of the Green's function is a computationally efficient beyond-$GW$ approach renowned for its significant enhancement of satellite features in materials. In contrast to the ubiquitous $GW$ approximation of many-body…

Chemical Physics · Physics 2024-02-27 Pierre-François Loos , Antoine Marie , Abdallah Ammar

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

Quantum statistical systems, composed of atoms or molecules interacting with each other through highly singular non-integrable potentials, are considered. The treatment of such systems cannot start with the standard approximations such as…

Quantum Physics · Physics 2025-03-13 V. I. Yukalov , E. P. Yukalova

We employ Non-equilibrium Green's functions (NEGF) to describe the real-time dynamics of an adsorbate-surface model system exposed to ultrafast laser pulses. For a finite number of electronic orbitals, the system is solved exactly and…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Boström , M. Hopjan , A. Kartsev , C. Verdozzi , C. -O. Almbladh

Under a certain scaling, the electron densities of finite systems become both large and slowly-varying, so that the gradient expansions of the density functionals for the Kohn-Sham kinetic and exchange energies become asymptotically exact…

Quantum Physics · Physics 2009-11-13 John P. Perdew , Lucian A. Constantin , Espen Sagvolden , Kieron Burke

The optimization of large experiments in fundamental science, such as detectors for subnuclear physics at particle colliders, shares with the optimization of complex systems for industrial or societal applications the common issue of…

Instrumentation and Detectors · Physics 2026-03-30 Tommaso Dorigo , Pietro Vischia , Shahzaib Abbas , Tosin Adewumi , Lama Alkhaled , Lorenzo Arsini , Muhammad Awais , Maxim Borisyak , András Bóta , Florian Bury , Sascha Caron , James Carzon , Long Chen , Prakash C. Chhipa , Paul Christakopoulos , Jacopo De Piccoli , Andrea De Vita , Zlatan Dimitrov , Michele Doro , Luigi Favaro , Francesco Ferranti , Santiago Folgueras , Rihab Gargouri , Nicolas R. Gauger , Andrea Giammanco , Christian Glaser , Tobias Golling , João A. Gonçalves , Hui Han , Hamza Hanif , Lukas Heinrich , Yan Chai Hum , Florent Imbert , Andreas Ipp , Michael Kagan , Noor Kainat Syeda , Rukshak Kapoor , Aparup Khatua , Eduard J. Kerkhoven , Jan Kieseler , Tobias Kortus , Ashish Kumar Singh , Marius S. Köppel , Daniel Lanchares , Ann Lee , Pelayo Leguina , Christos Leonidopoulos , Giuseppe Levi , Boying Li , Chang Liu , Marcus Liwicki , Karl Lowenmark , Enrico Lupi , Carlo Mancini-Terracciano , Dominik Maršík , Leonidas Matsakas , Hamam Mokayed , Federico Nardi , Amirhossein Nayebiastaneh , Xuan T. Nguyen , Aitor Orio , Jingjing Pan , Jigar Patel , Carmelo Pellegrino , María Pereira Martínez , Karolos Potamianos , Shah Rukh Qasim , Martin Ravn , Luis Recabarren Vergara , Humberto Reyes-González , Hipolito A. Riveros Guevara , Ippocratis D. Saltas , Rajkumar Saini , Fredrik Sandin , Alexander Schilling , Kylian Schmidt , Nicola Serra , Saqib Shahzad , Foteini Simistira Liwicki , Giles C. Strong , Kristian Tchiorniy , Mia Tosi , Andrey Ustyuzhanin , Xabier Cid Vidal , Kinga A. Wozniak , Mengqing Wu , Zahraa Zaher

We introduce a quantum dot orbital tight-binding non-equilibrium Green's function approach for the simulation of novel solar cell devices where both absorption and conduction are mediated by quantum dot states. By the use of basis states…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 U. Aeberhard

Green's functions in Physics have proven to be a valuable tool for understanding fundamental concepts in different branches, such as electrodynamics, solid-state and many -body problems. In quantum mechanics advanced courses, Green's…

Physics Education · Physics 2022-10-05 William J. Herrera , Herbert Vinck-Posada , Shirley Gomez Paez

Solid state quantum condensates often differ from previous examples of condensates (such as Helium, ultra-cold atomic gases, and superconductors) in that the quasiparticles condensing have relatively short lifetimes, and so as for lasers,…

Quantum Gases · Physics 2010-08-17 Jonathan Keeling , Marzena H. Szymanska , Peter B. Littlewood

We propose a scheme for the construction of one-particle Green's function (GF) of an interacting electronic system via statistical sampling on a quantum computer. Although the non-unitarity of creation and annihilation operators for the…

Quantum Physics · Physics 2020-02-19 Taichi Kosugi , Yu-ichiro Matsushita

The one-particle Green function of a many-electron system is traditionally formulated within the self-energy picture. A different formalism was recently proposed, in which the self-energy is replaced by a dynamical exchange-correlation…

Strongly Correlated Electrons · Physics 2025-05-27 F. Aryasetiawan

We discuss utilization of kinetic schemes for description of open interacting systems, focusing on vibrational energy relaxation for an oscillator coupled to a nonequilibirum electronic bath. Standard kinetic equations with constant rate…

Mesoscale and Nanoscale Physics · Physics 2018-08-16 Abraham Nitzan , Michael Galperin

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…

Computational Physics · Physics 2025-05-02 Thomas Blommel , David J. Gardner , Carol S. Woodward , Emanuel Gull

We revisit the volume Green's function integral equation for modelling light scattering with discretization strategies as well as numerical integration recipes borrowed from finite element method. The merits of introducing finite element…

Optics · Physics 2019-06-26 Wen Li , Dong Tan , Jing Xu , Shubo Wang , Yuntian Chen
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