Internship and thesis proposals
Chaotic graphs in silicon photonics

Domaines
Quantum optics/Atomic physics/Laser
Low dimension physics
Non-relativistic quantum field theory, quantum optics, complex quantum systems
Quantum information theory and quantum technologies
Quantum optics
Non-linear optics
Kinetic theory ; Diffusion ; Long-range interacting systems

Type of internship
Expérimental et théorique
Description
Chaotic systems have a particular quantum behavior and several conjectures remain to be demonstrated concerning their spectrum and their wave functions [1]. Graphs can be chaotic or not and allow a relatively simple theoretical study of the classical and quantum limits [2]. These experiments are easier to carry out in photonics and the formalism fits well to the wave-particle duality of light. We have therefore produced graphs (chaotic or not) where light circulates in silicon waveguides (Fig. 1a) and we study their spectrum (Fig. 1c) and their wave functions (Fig. 1b). The first objective is to verify the validity of the conjectures according to different types of graphs. In a second step, we will inject non-classical light (squeezed light or entangled photons for instance) to know if entanglement is sensitive to chaos. The silicon graphs are fabricated in the C2N cleanroom. Their design requires numerical simulations performed under the supervision of Xavier Chécoury (C2N). The experiments are carried out on a dedicated characterization setup at C2N and the theory is developed in collaboration with Barbara Dietz (Dresden). The student may be involved in one or several of these tasks, depending on his/her preferences.

Contact
Mélanie Lebental
Laboratory : C2N -
Team : QD
Team Website
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