Time evolution techniques for detectors in relativistic quantum information

TL;DR

This paper introduces mathematical techniques for solving the time evolution of multiple detectors interacting with a quantum field, applicable to harmonic oscillators and potentially extendable to quantum field detectors, using continuous variable methods.

Contribution

It presents a novel approach to analyze the dynamics of multiple detectors in relativistic quantum information, leveraging quadratic Hamiltonians and continuous variable techniques.

Findings

Applicable to harmonic oscillator detectors

Can be generalized to quantum field detectors

Utilizes continuous variable methods from quantum optics

Abstract

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.