2013
DOI: 10.1088/1751-8113/46/16/165303
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Time evolution techniques for detectors in relativistic quantum information

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 generalised to treat detectors modelled by quantum fields. Since the interaction Hamiltonian we introduce is quadratic in creation and … Show more

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Cited by 89 publications
(136 citation statements)
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“…In this regime, when T λ is no longer small, the transition matrix elements of −iH I T are no longer small, i.e., the perturbation theory that we have used so far then breaks down. Here, it should be very interesting to apply the recently developed nonperturbative methods for detectors that are harmonic oscillators [4,23] in order to extend our present study into the nonperturbative regime.…”
Section: Discussionmentioning
confidence: 99%
“…In this regime, when T λ is no longer small, the transition matrix elements of −iH I T are no longer small, i.e., the perturbation theory that we have used so far then breaks down. Here, it should be very interesting to apply the recently developed nonperturbative methods for detectors that are harmonic oscillators [4,23] in order to extend our present study into the nonperturbative regime.…”
Section: Discussionmentioning
confidence: 99%
“…ω>0 dω|F (ω)| 2 = 1. This distribution naturally models a photon which is a wave packet of the electromagnetic field that propagates and is localized in space and time [24].…”
Section: Light Wave-packets Propagating On Earth's Space-timementioning
confidence: 99%
“…This is not a loss of generality: indeed, if the pumps have nonzero phases, χ ab = |χ ab |e iϕ ab , χ bc = |χ bc |e iϕ bc we can obtain the evolution U from Eq. (20) Here we use a recently developed technique [53,54] (see also [55] for an alternative approach) to obtain a more convenient representation of the operator (20), based on the Lie algebra structure of the SL(3,C) group [37]. In Appendix A we show that it is possible to re-write the operator (20) …”
Section: Generation Of Bisqueezed Tripartite Gaussian Statesmentioning
confidence: 99%