Time evolution techniques for detectors in relativistic quantum information

Bruschi, David Edward, Lee, Antony R. and Fuentes, Ivette (2013) Time evolution techniques for detectors in relativistic quantum information. Journal of Physics A: Mathematical and Theoretical, 46 (16), [165303]. (doi:10.1088/1751-8113/46/16/165303).

Record type: Article

Abstract

The techniques employed to solve the interaction of a detector and a quantum field commonly require perturbative methods. We introduce mathematical techniques to solve the time evolution of an arbitrary number of detectors interacting with a quantum field moving in space-time while using non-perturbative methods. Our techniques apply to harmonic oscillator detectors and can be generalized to treat detectors modelled 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.

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e-pub ahead of print date: 9 April 2013

Published date: 26 April 2013

Additional Information: Funding Information: This work has been supported by NIH grants AI109926 (to J.C.G.B.) and AI114809 (to T.G.M.) and by the Charles H. Hood Foundation (to T.G.M.).