Post-Doctoral Research Visit F/M Advanced numerical modeling for quantum metasurfaces
il y a 4 semaines
Contexte et atouts du poste
Atlantis is a joint project-team between Inria and the Jean-Alexandre Dieudonné Mathematics Laboratory at Université Côte d'Azur. The team gathers applied mathematicians and computational scientists who are collaboratively undertaking research activities aiming at the design, analysis, development and application of innovative numerical methods for systems of partial differential equations (PDEs) modelling nanoscale light-matter interaction problems. In this context, the team is developing the DIOGENeS [ software suite, which implements several Discontinuous Galerkin (DG) type methods tailored to the systems of time- and frequency-domain Maxwell equations possibly coupled to differential equations modeling the behaviour of propagation media at optical frequencies. DIOGENeS is a unique numerical framework leveraging the capabilities of DG techniques for the simulation of multiscale problems relevant to nanophotonics and nanoplasmonics.
Mission confiée
Metasurfaces are planar structures that possess remarkable capabilities to manipulate light beyond what conventional optical components can achieve [1]. These intriguing flat surfaces have garnered significant research interest and have led to the development of efficient metasurface-based devices, such as achromatic metalenses [2,3], color holograms [4], and even metasurfaces with active functionalities [5,6]. While metasurfaces were initially explored for classical applications of optics, recent research has demonstrated their potential for quantum technology [7]. Unlike classical applications of optics, which use wave-like descriptions of light, quantum applications rely on the manipulation of individual photons to achieve quantum information processing tasks.
Classical electromagnetic (EM) simulations are based on classical physics and describe the behavior of light as a wave. These simulations are often used to predict the response of metasurfaces to the incoming light, including the polarization, amplitude or even reshaping the wavefront [2,5,8,9]. However, when the interaction involves a single photon, classical EM simulations are not accurate enough to describe the behavior of the system. This is because classical physics assumes a continuous distribution of energy, while quantum mechanics describes energy as being quantized into discrete packets, called photons. Therefore, classical EM simulations cannot accurately capture the quantum mechanical effects of the interaction between a single photon and a metasurface.
Principales activités
In the present post-doctoral project, a first objective will be to formalize and develop the appropriate modeling tools to study the interaction of a single-photon and metasurface. In particular, we will rely on and extend the high order DGTD method initially introduced in [11]. The second objective will be to apply the developed numerical tools for designing qunatum information processing metasurface configurations. This post-doctoral project will take place in the Atlantis project-team at the Inria research center at Université Côte d’Azur in Sophia Antipolis. Moreover, it will be conducted in close collaboration with our physics partners for the theoretical physical modeling questions, simulation results interpretation and potential applications.
[1] Nanfang Yu et al. “Light propagation with phase discontinuities : generalized laws of reflection and refraction”. Science 334.6054 , p. 333-337.
[2] Mahmoud Elsawy et al. “Multiobjective statistical learning optimization of RGB meta- lens”. ACS Photonics 8.8 , p. 2498-2508.
[3] Meiyan Pan et al. “Dielectric metalens for miniaturized imaging systems : progress and chal- lenges”. Light : Science & Applications 11.1 , p. 1-32.
[4] Qinghua Song et al. “Ptychography retrieval of fully polarized holograms from geometric- phase metasurfaces”. Nature Communications 11.1 , p. 1-8.
[5] Mahmoud Elsawy et al. "Universal active metasurfaces for ultimate wavefront molding by manipulating the reflection singularities". Laser Photonics Review (2023), p. 2200880.
[6] Inki Kim et al. “Nanophotonics for light detection and ranging technology”. Nature Nanotech-nology 16.5 , p. 508-524.
[7] Tomás Santiago-Cruz et al. “Resonant metasurfaces for generating complex quantum states”. Science 377.6609 , p. 991-995.
[8] Mahmoud Elsawy et al. “Global optimization of metasurface designs using statistical learning methods”. Scientific Reports 9.1 , p. 1-15.
[9] Thaibao Phan et al. “High-efficiency, large-area, topology-optimized metasurfaces”. Light : Science & Applications 8.1 , p. 48.
[10] Weng Cho Chew et al. “Quantum Maxwell’s equations made simple : Employing scalar and vector potential formulation”. IEEE Antennas and Propagation Magazine 63.1 , p. 14-26.
[11] J. Viquerat et al. "Simulation of electromagnetic waves propagation in nano-optics with a high-order discontinuous Galerkin time-domain method". Ph.D. thesis, University of Nice-Sophia Antipolis, Dec 2015.
Compétences
Academic background: Ph.D. in Applied Physics or applied mathematics or scientific computing or electrical engineering.
Required knowledge and skills:
Theory and methodology: computational electromagnetics, finite element methods for PDEs, numerical optimization Sound knowledge of quantum optics, nanophotonics, metasurface, metamaterialSoftware development skills : Python and Fortran 2003, parallel programming with MPI and OpenMP
Relational skills : team worker (verbal communication, active listening, motivation and commitment)
Other valued appreciated : good level of spoken and written english
Avantages
Subsidized meals Partial reimbursement of public transport costs Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.) Possibility of teleworking (after 6 months of employment) and flexible organization of working hours Professional equipment available (videoconferencing, loan of computer equipment, etc.) Social, cultural and sports events and activities Access to vocational training Social security coverage
Rémunération
Gross Salary: 2746 € per month
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