Quantum Information and Quantum Optics with Superconducting Circuits - Exercise Solutions (Chapter 9)

9.1 (1) So, by setting , we have: where (2) We apply an adiabatic change to . On the other hand, Hence, from the Schroedinger equation , we have: From the definition of , we have: So, --- (2-1)By differentiating the both sides of , So, from (2-1), we have: (3) Since , we have: (4) where The eigenva…