Derivation of the Time-Dependent Bogoliubov–deGennes Equations
Abstract
This chapter first recalls the time-independent Bogoliubov–deGennes equations for the equilibrium case and shows their equivalence to the Gor’kov approach for inhomogeneous fermionic superfluidity at equilibrium. It then considers the extension of the Bogoliubov–deGennes approach to the nonequilibrium case in the framework of the Kadanoff–Baym equations, once implemented at the mean-field level. Properties of the solutions are considered in detail.
Fields of Study & Subjects
Physics of Superconductivity and Magnetism
Cold Atom Physics and Bose-Einstein Condensates
Quantum many-body systems
Publication details
- Journal / source
- Cambridge University Press eBooks
- Pages
- 194–210
- Publication date
- 6 February 2026
- Document type
- Book chapter