Implementing collective dynamics of electrons in parabolic quantum wells under the action of a uniform time-dependent electric field in a quantum computer.
The exchange-correlation potential in density functional theory is ultranonlocal i.e. it is nonlocal both in space and in time.
You'll need to simulate the Harmonic Potential Theorem using a Quantum Computer. The initial appointment will be for one year with a possible extension to two years.
Historically, the first hint of ultranonlocality came from the work of John Dobson on the collective dynamics of electrons in parabolic quantum wells.
Position requirements
Must haves:
- A degree from a closely related field(s)
- Experience with computational techniques.
- Good communication skills in English.
Considered as an advantage:
- Experience with Quantum computers
- Hamiltonian Simulation Experience
- Background in mathematical physics
The applicants should include their CV and a brief motivation letter along with at least two letters of reference, to be sent directly to mbaris@metu.edu.tr.
More material
- Harmonic-Potential Theorem: Implications for Approximate Many-Body Theories John F. Dobson Phys. Rev. Lett. 73, 2244 – Published 17 October 1994
- Fundamentals of Time-Dependent Density Functional Theory Miguel A.L. Marques, Neepa T. Maitra, Fernando M.S. Nogueira, E.K.U. Gross, Angel Rubio LNP, volume 837 Springer
- https://xanadu.ai/
- https://qiskit.org/textbook/preface.html