M2 Nanosciences and Quantum Technologies (NanoQuant)

Teaching mathematics for numerical physics. Introduction of tools for studying 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 begins with the study of situations where the solution is analytical, followed by situations where the solution is semi-analytical, before tackling the finite-difference method DF. Different DF schemes are proposed, each time with an evaluation of convergence as a function of various key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are studied.    

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

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

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

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TD courses in English, for students in the Master 2 Physics program, who want to work in English in a contemporary context.

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This teaching unit deals with solving electromagnetic problems on the computer. Based on 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 diffraction problems in the harmonic regime by a bounded obstacle will be given for the case of 2D and 3D scalar waves.

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The aim of this module is to teach the operating principles of the main techniques for characterizing the structure (volume and surface) and properties (optical, electronic, etc.) of condensed matter:

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

  The aim of this module is to teach the operating principles of the main techniques for characterizing the structure (volume and surface) and properties (optical, electronic, etc.) of condensed matter:

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

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This UE is specific to the NanoQuant pathway 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, enabling functionalities and sensitivities that surpass 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 course provides experimental training in the main nanocharacterization and nanotechnology techniques:

• AFM
• MEB
• Photoluminescence
• X-ray diffraction
• Ellipsometry
• Optical Microscopy
• Sourcemeter
• Capacimeter
• Cleanroom micro-device manufacturing processes

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