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Advanced quantum physics

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Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty: Philippe Lecheminant
Tutor: Edouard Boulat
Condensed Matter Physics: Option
Macroscopic Physics and Complexity: Option
Quantum Physics: Compulsory
Theoretical Physics: Option
ECTS credits: 6
Language of instruction: English
Web site:

Description

The goal of the lectures is to master the simple but necessary tools for the understanding of quantum systems under current investigation in low-energy physics (condensed matter or ultracold atoms physics), in general coupled quantum systems. The lectures are organized in two main parts: the second quantification approach and the quantum scattering theory. In the first part, we will investigate systems of identical quantum particles by means of the second quantification approach, a framework necessary to study interactions and low-energy excitations in ultracold atoms or condensed matter physics. Direct applications to these systems will be covered in these lectures, in particular, through quadratic Hamiltonians which occur in the context of supraconductivity (BCS) or superfluidity (Bogoliubov approach) phenomena. Finally, in the second part of the course, the emphasis will be laid on quantum scattering theory or two-body collision theory which is directly relevant to cold atoms physics. A formal description of scattering theory will be introduced together with applications in the low-energy limit with the study of the concept of scattering length.

The books to be mastered as a prerequisite to the lectures:

  • Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë, Quantum Mechanics.
  • Albert Messiah, Quantum Mechanics (the non-relativistic part).

Detail program

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr