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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.

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

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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