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We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a uniform energy loss (absorption). For a microwave cavity…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yan V. Fyodorov , Dmitry V. Savin

The essential quantum many-body physics of an ultracold quantum gas relies on the single-particle Green's functions.\ We demonstrate that it can be extracted by the spectrum of electromagnetically induced transparency (EIT).\ The…

Quantum Gases · Physics 2014-11-03 H. H. Jen , Daw-Wei Wang

We propose a general framework for computing Retarded Green's Functions (RGFs) on quantum computers by recasting their evaluation as a problem of circuit differentiation. Our proposal is based on real-time evolution and specifically…

Quantum Physics · Physics 2026-04-15 Samuele Piccinelli , Francesco Tacchino , Ivano Tavernelli , Giuseppe Carleo

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 question of which non-interacting Green's function "best" describes an interacting many-body electronic system is both of fundamental interest as well as of practical importance in describing electronic properties of materials in a…

Materials Science · Physics 2017-08-01 Sohrab Ismail-Beigi

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to…

Optics · Physics 2017-04-17 O. V. Belai , L. L. Frumin , S. V. Perminov , D. A. Shapiro

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

We propose the sparse modeling approach for quasiclassical theory of superconductivity, which reduces the computational cost of solving the gap equations. The recently proposed sparse modeling approach is based on the fact that the Green's…

Superconductivity · Physics 2023-03-01 Yuki Nagai , Hiroshi Shinaoka

We present an approach for GW calculations of quasiparticle energies with quasi-quadratic scaling by approximating high-energy contributions to the Green's function in its Lehmann representation with effective stochastic vectors. The method…

Materials Science · Physics 2023-12-07 Aaron R. Altman , Sudipta Kundu , Felipe H. da Jornada

In quantum field theory, the Green function is usually calculated as the expectation value of the time-ordered product of fields over the vacuum. In some cases, especially in degenerate systems, expectation values over general states are…

High Energy Physics - Theory · Physics 2010-09-15 Christian Brouder

Efficient computation of lattice defect geometries such as point defects, dislocations, disconnections, grain boundaries, interfaces and free surfaces requires accurate coupling of displacements near the defect to the long-range elastic…

Materials Science · Physics 2013-08-06 Joseph A. Yasi , Dallas R. Trinkle

We present all the periodic Green function dyadics that enter a description of a 2d array of emitters at the level that includes the electric dipole, magnetic dipole and electric quadrupole moment of each emitter. We find a concise analytic…

Optics · Physics 2017-03-02 Sylvia D. Swiecicki , J. E. Sipe

We establish existence and pointwise estimates of fundamental solutions and Green's matrices for divergence form, second order strongly elliptic systems in a domain $\Omega \subseteq \mathbb{R}^n$, $n \geq 3$, under the assumption that…

Analysis of PDEs · Mathematics 2009-09-29 Steve Hofmann , Seick Kim

Starting with the Green's functions found for normal diffusion, we construct exact time-dependent Green's functions for subdiffusive equation (with fractional time derivatives), with the boundary conditions involving a linear combination of…

Statistical Mechanics · Physics 2009-11-10 Tadeusz Kosztolowicz

The problem of an electromagnetic wave scattered from a random medium layer with rough boundaries is formulated using integral equations which involve two kinds of Green functions. The first one describes the wave scattered by the random…

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Soubret , G. Berginc

We provide a framework for calculating holographic Green's functions from general bilinear actions and fields obeying coupled differential equations in the bulk. The matrix-valued spectral function is shown to be independent of the radial…

High Energy Physics - Theory · Physics 2014-11-20 Matthias Kaminski , Karl Landsteiner , Javier Mas , Jonathan P. Shock , Javier Tarrio

We develop a Green's function approach to quasiparticle excitations of open-shell systems within the GW approximation. It is shown that accurate calculations of the characteristic multiplet structure require a precise knowledge of the self…

Materials Science · Physics 2014-09-11 Johannes Lischner , Jack Deslippe , Manish Jain , Steven G. Louie

We study the conductance properties of a straight two-dimensional electron waveguide with an s-like scatterer modeled by a single delta-function potential with a finite number of modes. Even such a simple system exhibits interesting…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daniel Boese , Markus Lischka , L. E. Reichl

The Green functions play a big role in the calculation of the local density of states of the carbon nanostructures. We investigate their nature for the variously oriented and disclinated graphene-like surface. Next, we investigate the case…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 J. Smotlacha , R. Pincak , M. Pudlak

The cumulant expansion is a powerful approach for including correlation effects in electronic structure calculations beyond the GW approximation. However, current implementations are incomplete since they ignore terms that lead to partial…

Strongly Correlated Electrons · Physics 2014-02-04 J. J. Kas , J. J. Rehr , L. Reining