Study Programmes 2015-2016
| PHYS2027-2 | |||||||||||||||||
| Ultracold atoms and Bose-Enstein condensates | |||||||||||||||||
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Duration :
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| 25h Th | |||||||||||||||||
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Number of credits :
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Lecturer :
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| Peter Schlagheck | |||||||||||||||||
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Language(s) of instruction :
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| French language | |||||||||||||||||
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Organisation and examination :
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| Teaching in the second semester | |||||||||||||||||
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Units courses prerequisite and corequisite :
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| Prerequisite or corequisite units are presented within each program | |||||||||||||||||
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Course contents :
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| This course gives an introduction into the physical principles of Bose-Einstein condensation and their realization with ultracold atoms. We shall particularly discuss - quantum statistical physics - Bose-Einstein condensation with noninteracting particles - cold atoms in magnetic and optical traps - atom-atom interaction - mean-field theory of an interacting Bose-Einstein condensate - collective excitations within a condensate - superfluidity | |||||||||||||||||
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Learning outcomes of the course :
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| The aim of this course is to understand the basics of Bose-Einstein condensation with ultracold atoms on the level that one is able to appreciate state-of-the-art experiments on the topic. This will also permit us to deepen the general knowledge of advanced quantum mechanics. | |||||||||||||||||
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Prerequisite knowledge and skills :
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| It is recommended to have followed the course "Advanced quantum mechanics", in order to better understand topics of advanced quantum theory that are needed to explain Bose-Einstein condensation with ultracold atoms (such as many-particle theory or scattering theory). | |||||||||||||||||
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Planned learning activities and teaching methods :
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Mode of delivery (face-to-face ; distance-learning) :
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| The course will be given "ex cathedra" on the blackboard, in combination with the presentation of transparencies. | |||||||||||||||||
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Recommended or required readings :
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| Recommended literature: - K. Huang: "Statistical Mechanics" (John Wiley & Sons, 1963) - C.J. Pethick & H. Smith: "Bose-Einstein Condensation in Dilute Gases" (Cambridge University Press, 2002) - L. Pitaevskii & S. Stringari: "Bose-Einstein Condensation" (Oxford University Press, 2003) | |||||||||||||||||
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Assessment methods and criteria :
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| The evaluation will be done by an individual oral exam of 30 minutes on the contents of the course. | |||||||||||||||||
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| Peter Schlagheck Département de Physique Université de Liège IPNAS, building B15, office 0/125 Sart Tilman 4000 Liège Phone: 04 366 9043 Email: Peter.Schlagheck@ulg.ac.be http://www.pqs.ulg.ac.be | |||||||||||||||||
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Items online :
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 | Bosons and fermions 3 indistinguishable quantum particles in 3 states |
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| calculation of the specific heat calculation of the specific heat for a noninteracting Bose gas confined within a harmonic potential |
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| Specific heat in free space specific heat of a Bose gas in free space as a function of the temperature |
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| Specific heat in a harmonic oscillator specific heat of a Bose gas in a harmonic oscillator as a function of the temperature |
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| Zeeman splitting for 87Rb Zeeman splitting of the hyperfine states of 87Rb as a function of the magnetic field |
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| variational energy of a Bose-Einstein condensate ground-state energy of a Bose-Einstein condensate within an isotropic harmonic oscillator potential as a function of the variational parameter |
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| wavefunctions of a Lennard-Jones potential continuum eigenfunctions of a Lennard-Jones potential for different depths of the potential |
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| Bose gas in 1, 2, and 3 dimensions curves of constant N in the \mu-T diagram |
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| Bose function graphs of the Bose function g_p(z) for different p |
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| s-wave scattering length in a Lennard-Jones potential s-wave scattering length in a Lennard-Jones potential as a function of the depth of the potential |
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| s-wave scattering length in a potential well s-wave scattering length in a potential well as a function of the depth of the well |
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| Bogoliubov spectrum of a moving Bose-Einstein condensate Bogoliubov spectrum of a moving Bose-Einstein condensate for different speeds v0 |
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| Bogoliubov spectrum of a free Bose-Einstein condensate dispersion relation of the Bogoliubov modes of a Bose-Einstein condensate within free space |
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