Atomic clocks are one of the few commercially used quantum devices. At the moment the best atomic clocks reached precision of 10^(-18). Can this precision improve further? Is there any fundamental limit for their accuracy? This is the core question we will explore.
Quadratic systems provide a great gate into the complex topic of many body systems. In this project we will explore non-adiabatic transitions in quadratic systems.
If you want to study mathematical aspects of quantum mechanics this is your chance.