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Here we shall find the green's function of the difference equation of loop quantum cosmology. To illustrate how to use it, we shall obtain an iterative solution for closed model and evaluate its corresponding Bohmian trajectory.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Fatimah Shojai , Ali Shojai

We provide fast algorithms for simulating many body Fermi systems on a universal quantum computer. Both first and second quantized descriptions are considered, and the relative computational complexities are determined in each case. In…

Quantum Physics · Physics 2009-10-30 Daniel S. Abrams , Seth Lloyd

In this work we perform a Green's function analysis of giant-dipole systems. First we derive the Green's functions of different magnetically field-dressed systems, in particular of electronically highly excited atomic species in crossed…

Atomic Physics · Physics 2018-01-17 Thomas Stielow , Stefan Scheel , Markus Kurz

Using quantum algorithms to simulate complex physical processes and correlations in quantum matter has been a major direction of quantum computing research, towards the promise of a quantum advantage over classical approaches. In this work…

Quantum Physics · Physics 2022-06-01 Zixuan Hu , Kade Head-Marsden , David A. Mazziotti , Prineha Narang , Sabre Kais

The resonant interaction between x-ray photons and nuclei is one of the most exciting subjects of the burgeoning field of x-ray quantum optics. A resourceful platform used so far are thin-film x-ray cavities with embedded layers or…

Quantum Physics · Physics 2020-10-02 Xiangjin Kong , Darrick E. Chang , Adriana Pálffy

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

Strongly Correlated Electrons · Physics 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

We derive an exact expression for the single particle Green function in the Calogero-Sutherland model for all rational values of the coupling $\beta$. The calculation is based on Jack polynomial techniques and the results are given in the…

High Energy Physics - Theory · Physics 2009-10-28 D. Serban , F. Lesage , V. Pasquier

We have developed a Green's function formalism based on the use of an overcomplete semicoherent basis of vortex states, specially devoted to the study of the Hamiltonian quantum dynamics of electrons at high magnetic fields and in an…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 T. Champel , S. Florens

The asymptotics of the equal-time one-particle Green's function for the half-filled one-dimensional Hubbard model is studied at finite temperature. We calculate its correlation length by evaluating the largest and the second largest…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Umeno , M. Shiroishi , A. Kluemper

The single particle Green's function provides valuable information on the momentum and energy-resolved spectral properties for a strongly correlated system. In large-scale numerical calculations using quantum Monte Carlo (QMC), dynamical…

Strongly Correlated Electrons · Physics 2024-10-01 Maksymilian Kliczkowski , Lauren Keyes , Sayantan Roy , Thereza Paiva , Mohit Randeria , Nandini Trivedi , Maciej M. Maska

Nonequilibrium Green's functions provide a powerful tool for computing the dynamical response and particle exchange statistics of coupled quantum systems. We formulate the theory in terms of the density matrix in Liouville space and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 U. Harbola , S. Mukamel

A model is proposed to study the hybrid exciton in a quantum dot-dendrimer systems. The semiconductor organic hybrid exciton is studied using a "real space" Green's function method and a diagrammatic technique. The energy of the hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Nguyen Que Huong , Joseph L. Birman

A method for deriving quantum kinetic equations with initial correlations is developed on the basis of the nonequilibrium Green's function formalism. The method is applicable to a wide range of correlated initial states described by…

Statistical Mechanics · Physics 2009-10-31 V. G. Morozov , G. Röpke

Quantum computing technologies are making steady progress. This has opened new opportunities for tackling problems whose complexity prevents their description on classical computers. A prototypical example of these complex problems are…

Quantum Physics · Physics 2023-09-28 Thomas Ayral , Pauline Besserve , Denis Lacroix , Edgar Andres Ruiz Guzman

We propose a new way of analyzing the Hubbard model using equations of motion (EOM) for the higher-order Green's functions approach within the DMFT scheme. In calculating the higher order Green function we will differentiate over both Times…

Strongly Correlated Electrons · Physics 2014-08-22 Grzegorz Gorski , Jerzy Mizia

We explore the idea that gravitational interaction can be described by instantaneous inter-particle potentials. This idea is in full accord with relativistic quantum theory. In particular, it resembles the ``dressed particle'' approach to…

General Physics · Physics 2008-04-02 Eugene V. Stefanovich

Closed expressions are derived for resonant multidimensional X-ray spectroscopy using the quasiparticle nonlinear exciton representation of optical response. This formalism is applied to predict coherent four wave mixing signals which probe…

Strongly Correlated Electrons · Physics 2015-05-13 U. Harbola , S. Mukamel

We formulate equations of motion and conservation laws for a quantum many-body system in a co-moving Lagrangian reference frame. It is shown that generalized inertia forces in the co-moving frame are described by Green's deformation tensor…

Statistical Mechanics · Physics 2009-11-10 I. V. Tokatly

Nonequilibrium Green's functions represent a promising tool for describing central nuclear reactions. Even at the single-particle level, though, the Green's functions contain more information that computers may handle in the foreseeable…

Nuclear Theory · Physics 2015-05-13 Pawel Danielewicz , Arnau Rios , Brent Barker

Quantum computers hold promise to enable efficient simulations of the properties of molecules and materials; however, at present they only permit ab initio calculations of a few atoms, due to a limited number of qubits. In order to harness…

Materials Science · Physics 2020-07-07 He Ma , Marco Govoni , Giulia Galli