Further material from previous years:
In the three classes 1.10.2019 to 15.10.2019 we addressed the density matrix: pag. 10-34 of
the handwritten vietri-lecturenotes.pdf
These also have a printed version with more text:
vietri-proceedings.pdf
which can be downloaded here as well. It has been printed in Springer as a book chapter
On 29.10 we also discussed the general time evolution of the density matrix due to the Lindblad equation and expansion in eigenvectors, vietri-lecturenotes.pdf pag 39-42
On 2019-11-12 we concluded the Bloch equation and we started with the microscopic derivation of the Lindblad equation
vietri-lecturenotes.pdf pagg. 45-59
On 2019-11-19 we concluded the microscopic derivation. vietri-lecturenotes.pdf pagg. 60-72
On 2019-12-03 we discussed the derivation of a fermionic reservoir
vietri-lecturenotes.pdf pagg. 72-80
On 2019-12-10 we
summarized the fermionic model
summarized the fermionic model
and did some exercises on a single-site version (calculation of current, etc.)
We started an exercise with a two-site model
On 2020-01-07 we discussed the solution of the
Two site model with dissipation
and started the quantum regression theorem
vietri-lecturenotes.pdf pagg. 99-108
On 2020-01-14 we concluded the quantum regression theorem
(vietri-lecturenotes.pdf pagg. 99-108)
and used to compute correlation functions
correlation functions with the equations of motion method
We applied it to the cavity in a thermal bath problem