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Time evolution techniques for detectors in relativistic quantum information

Time evolution techniques for detectors in relativistic quantum information
Time evolution techniques for detectors in relativistic quantum information
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.
1751-8113
Bruschi, David Edward
12b53097-6abc-427a-9987-b034ac3fae81
Lee, Antony R.
653a0d5b-ba7c-41c9-871b-76d2048974e8
Fuentes, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Bruschi, David Edward
12b53097-6abc-427a-9987-b034ac3fae81
Lee, Antony R.
653a0d5b-ba7c-41c9-871b-76d2048974e8
Fuentes, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44

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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More information

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.).

Identifiers

Local EPrints ID: 476673
URI: http://eprints.soton.ac.uk/id/eprint/476673
ISSN: 1751-8113
PURE UUID: 4bc3b194-7420-4d07-8c8b-0261f5e968c2

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Date deposited: 11 May 2023 16:33
Last modified: 05 Jun 2024 18:01

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Contributors

Author: David Edward Bruschi
Author: Antony R. Lee
Author: Ivette Fuentes

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