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 de stage
 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