M2 Nanosciences and Quantum Technologies (NanoQuant)

Teaching of mathematics for numerical physics. Introduction of tools for the study of partial differential equations (distributions, variational formulation, Sobolev spaces).

Introduction to integral methods and their numerical implementation. Applications to diffraction problems in the harmonic regime.

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This course is designed to give students skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course starts with the study of situations where the solution is analytical, then situations where the solution is semi-analytical before attacking on the finite difference method FD. Different FD schemes are proposed with, each time, an evaluation of the convergence according to different key parameters (truncation of the domain, number of samples...). Finally, examples of concrete physical applications are studied.    

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This course presents the physical properties of different nanostructures such as quantum wells, 1D photonic crystals, carbon nanotubes or graphene. Electronic (structure and transport), vibrational and optical properties are discussed as well as radiation-matter interaction.

The aim is to describe the elaboration of low dimensional materials, the associated electronic, photonic and phononic structures, to study the transport phenomena, the electron-photon and electron-phonon couplings, the excitons as well as the absorption, emission and diffusion of light.

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This teaching unit is an introduction to artificial intelligence for physicists. It aims at discovering uses of deep learning using the TensorFlow and Keras libraries. It includes a presentation of examples of use for physics.

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TD courses in English, for students in the Master 2 Physics program, aiming at professional insertion in English in a contemporary context.

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This unit deals with the solution of electromagnetic problems on a computer. From Maxwell's equations, it shows how to simulate the behavior of electromagnetic waves in different media. It includes a detailed implementation of simulations based on the Finite Difference Time Domain (FDTD) method.

An introduction to the problems of diffraction in the harmonic regime by a bounded obstacle will be given for the case of scalar waves in 2D and 3D.

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This module aims to teach the operating principles of the main techniques for characterizing the structure (volume and surface) and properties (optical, electronic, ...) of condensed matter:

• X-ray and electron diffraction techniques
• optical spectroscopy techniques (absorption, reflection, luminescence)
• local probe microscopies

  This module aims to teach the operating principles of the main techniques for characterizing the structure (volume and surface) and properties (optical, electronic, ...) of condensed matter:

  • X-ray and electron diffraction techniques
  • optical spectroscopy techniques (absorption, reflection, luminescence)
  • local probe microscopies

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This course is specific to the NanoQuant program and offers a high-level fundamental training in the field of Quantum Technologies, i.e. current and future realizations of new technologies based on concepts such as quantum coherence and entanglement that allow to reach functionalities and sensitivities that exceed their classical analogues.

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Internship of at least five months in a laboratory, supervised by a teacher-researcher or researcher in the fields of nano-physics or quantum physics.

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This UE is an experimental training in the main techniques of nanocharacterizations and nanotechnologies:

• AFM
• MEB
• Photoluminescence
• X-ray diffraction
• Ellipsometry
• Optical Microscopy
• Source meter
• Capacimeter
• Manufacturing processes of micro-devices in clean room

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