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Simulating electronic dynamics with Quantum Trajectories by combining exact factorization and Density Functional Theory

Project description

Reliable, practical computational method for simulating ultrafast processes

Time-dependent phenomena, such as those involved in solar cells, quantum computers and radiation damage, are crucial for many technologies. However, current simulation methods, notably time-dependent density functional theory cannot accurately model electronic dynamics. With the support of the Marie Skłodowska-Curie Actions programme, the QT-DFT project should help overcome these limitations by combining innovative density functional approximations and a semi-classical algorithm for electron time propagation. Relying on exact factorisation, the proposed approach decouples the wavefunction into two coupled equations, providing a clearer view of the decomposition of the chemical environments. The ultimate goal of QT-DFT is to enable precise simulations of ultrafast processes, complementing cutting-edge experimental techniques like attosecond spectroscopy.

Objective

The quantum mechanical simulation of time-dependent (TD) phenomena is relevant for many technological and medical applications, as in solar cells design, control of radiation damage in biomolecules, photocatalysis, nanoscale conductance devices, and quantum computers.
With this proposal, the candidate intends to overcome the most critical limitations of current methods for the calculation of electronic dynamics - most notably of TD Density Functional Theory (DFT) - by pioneering a combination of (1) innovative density functional approximations and (2) an algorithm for time-propagation that treats one electron semi-classically.
The common thread linking these parts is the so-called exact factorization, an overarching strategy that has been used by both the candidate and the supervisor in the contexts of DFT and molecular dynamics (MD), respectively. According to this strategy, the wavefunction is rewritten as a product of a “marginal” and a “conditional” amplitude and the corresponding Schrödinger equation is conveniently expanded into two coupled equations, providing a clear decomposition of the chemical environment.
Joining together the candidate's expertise in fundamental DFT and the supervisor’s expertise in trajectory-based approaches, the algorithm that will be developed takes inspiration from the method elaborated by the host for ab initio MD simulations and adapts and supplements it in a way suitable to treat the motion of electrons. The project includes validation of the algorithm on simple electronic structures (simple atoms/molecules), whose static and dynamical densities and potentials are computationally accessible and can serve as benchmark.
The end goal of the project is to develop a reliable and computationally practical method for the simulation of ultrafast processes that can support and complement the emergent experimental techniques (attosecond spectroscopy), particularly for those cases for which present TDDFT or alternative approaches fail.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2022-PF-01

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Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Net EU contribution
€ 200 141,89
Address
RUE MICHEL ANGE 3
75794 Paris
France
Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
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Total cost
No data