Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.
||In this course, you learn how to solve general quadratic multi-mode bosonic problems (part A) and how to calculate spectral functions in such systems (part B). On the analytical side, you will become acquainted with multi-mode squeezing and bosonic multi-mode Bogoliubov transformations (part A) and theoretical aspects of spectral functions (part B). Extensions to non-zero temperature are also possible. On the numerical side, you will learn how to implement the resulting equations efficiently. This course offers insights into semi-analytical theoretical work. You learn a versatile technique which can be applied in many physically relevant situations. A model specific application includes the calculation of ground states (part A) and spectra (part B) for localized impurities immersed in an ultracold Bose Einstein condensate.