Time evolution techniques for detectors in relativistic quantum information

Understand

The techniques employed to solve the interaction of a detector and a quantum field typically require perturbation methods.

• We introduce mathematical techniques to solve the time evolution of an arbitrary number of detectors interacting with a quantum field.
• Our techniques apply to harmonic oscillator detectors and can be generalized to treat detectors modeled by quantum fields.
• Since the interaction Hamiltonian we introduce is quadratic in creation and annihilation operators, we are able to draw from continuous variable techniques commonly employed in quantum optics.