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Nonperturbative method for particle detectors with continuous interactions

José Polo-Gómez* and Eduardo Martín-Martínez†

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada; Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada and Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

  • *jpologomez@uwaterloo.ca
  • †emartinmartinez@uwaterloo.ca
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Phys. Rev. D 109, 045014 – Published 22 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.045014

Abstract

We show that detector switching profiles consisting of trains of delta couplings are a useful computational tool to efficiently approximate results involving continuous switching functions, both in setups involving a single detector and multiple ones. The rapid convergence to the continuous results at all orders in perturbation theory for sufficiently regular switchings means that this tool can be used to obtain nonperturbative results for general particle detector phenomena with continuous switching functions.

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Phys. Rev. D 109, 045014– Published 22 February, 2024
  • Received 3 November 2023
  • Accepted 30 November 2023
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