Master's in Nanosciences and Quantum Technologies (NanoQuant)

Mathematics for Computational Physics. Introduction to 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 provide students with skills in the numerical solution of the Schrödinger equation in order to simulate complex quantum well structures. The course begins with a study of cases where the solution is analytical, followed by cases where the solution is semi-analytical, before moving on to the finite difference (FD) method. Various FD schemes are presented, each accompanied by an evaluation of convergence as a function of key parameters (domain truncation, number of samples, etc.). Finally, examples of concrete physical applications are examined.    

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This lecture unit presents the physical properties of various nanostructures, such as quantum wells, 1D photonic crystals, carbon nanotubes, and graphene. It covers their electronic (structure and transport), vibrational, and optical properties, as well as the radiation-matter interaction.

The goal will be to describe the development of low-dimensional materials and their associated electronic, photonic, and phononic structures, and to study transport phenomena, electron-photon and electron-phonon couplings, excitons, as well as the absorption, emission, and scattering of light.

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

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English tutorial course for students in the Master 2 Physics program who are preparing for a career in an English-speaking professional environment in a contemporary context.

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This course unit covers the computer-based solution of electromagnetism problems. Using Maxwell’s equations, it demonstrates how to simulate the behavior of electromagnetic waves in various media. In particular, 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 caused by a bounded obstacle will be provided 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 used to characterize the structure (in volume and on the surface) and properties (optical, electronic, etc.) of condensed matter:

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

  This module aims to teach the operating principles of the main techniques used to characterize the structure (in volume and on the 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 course unit is specific to the NanoQuant track and provides high-level foundational training in the field of quantum technologies—that is, current and future developments in new technologies based on concepts such as quantum coherence and entanglement, which enable functionalities and sensitivities that surpass those of their classical counterparts.

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A laboratory internship lasting at least five months, supervised by a faculty member or researcher in the fields of nanophysics or quantum physics.

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This course is a hands-on training program in the main techniques of nanoscale characterization and nanotechnology:

• AFM
• SEM
• Photoluminescence
• X-ray diffraction
• Ellipsometry
• Optical Microscopy
• Source meter
• Capacitance Meter
• Manufacturing Processes for Microdevices in Cleanrooms

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