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FACT SIGNED

Factorizing the wave function of large quantum systems

Total Cost €

0

EC-Contrib. €

0

Partnership

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 FACT project word cloud

Explore the words cloud of the FACT project. It provides you a very rough idea of what is the project "FACT" about.

electronic    reduce    approximation    decomposing    lies    wave    tensor    complexity    function    attached    variety    correlations    puts    motion    necessarily    purely    scenario    phonon    schr    configuration    asymmetric    smaller    ingredient    standard    describe    satisfying    deals    ouml    forth    complicated    electrons    combining    movements    local    carlo    theory    perform    coupled    networks    enormous    semi    ultimately    subsystems    density    full    techniques    conditional    versatility    infinite    subsystem    nuclear    mean    strategy    functional    equation    scenarios    requiring    hermitian    instead    monte    cluster    particle    linear    amplitude    probability    photons    tackle    hamiltonian    isomerization    exact    leads    feynman    technique    sophisticated    regular    dynamical    quantized    metallic    bath    power    natural    add    solids    quantum    interaction    nuclei    first    systematic    adiabatic    dinger    diagrams    deal    molecular    factorization    electromagnetic    molecules   

Project "FACT" data sheet

The following table provides information about the project.

Coordinator
THE HEBREW UNIVERSITY OF JERUSALEM 

Organization address
address: EDMOND J SAFRA CAMPUS GIVAT RAM
city: JERUSALEM
postcode: 91904
website: www.huji.ac.il

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Total cost 2˙443˙932 €
 EC max contribution 2˙443˙932 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2017-ADG
 Funding Scheme ERC-ADG
 Starting year 2019
 Duration (year-month-day) from 2019-09-01   to  2024-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE HEBREW UNIVERSITY OF JERUSALEM IL (JERUSALEM) coordinator 2˙443˙932.00

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 Project objective

This proposal puts forth a novel strategy to tackle large quantum systems. A variety of highly sophisticated methods such as quantum Monte Carlo, configuration interaction, coupled cluster, tensor networks, Feynman diagrams, dynamical mean-field theory, density functional theory, and semi-classical techniques have been developed to deal with the enormous complexity of the many-particle Schrödinger equation. The goal of our proposal is not to add another method to these standard techniques but, instead, we develop a systematic way of combining them. The essential ingredient is a novel way of decomposing the wave function without approximation into factors that describe subsystems of the full quantum system. This so-called exact factorization is asymmetric. In the case of two subsystems, one factor is a wave function satisfying a regular Schrödinger equation, while the other factor is a conditional probability amplitude satisfying a more complicated Schrödinger-like equation with a non-local, non-linear and non-Hermitian “Hamiltonian”. Since each subsystem is necessarily smaller than the full system, the above standard techniques can be applied more efficiently and, most importantly, different standard techniques can be applied to different subsystems. The power of the exact factorization lies in its versatility. Here we apply the technique to five different scenarios: The first two deal with non-adiabatic effects in (i) molecules and (ii) solids. Here the natural subsystems are electrons and nuclei. The third scenario deals with nuclear motion in (iii) molecules attached to semi-infinite metallic leads, requiring three subsystems: the electrons, the nuclei in the leads which ultimately reduce to a phonon bath, and the molecular nuclei which may perform large-amplitude movements, such as current-induced isomerization, (iv) purely electronic correlations, and (v) the interaction of matter with the quantized electromagnetic field, i.e., electrons, nuclei and photons.

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