Published February 22, 2024
| Version v1
Journal article
Nonperturbative method for particle detectors with continuous interactions
- 1. 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
Description
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.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevD.109.045014;
- arXiv
- arXiv:2311.02174;
- Crossref Funder ID
- 10.13039/100010434; 10.13039/501100000038; 10.13039/501100021745; 10.13039/501100000023; 10.13039/100011332; 10.13039/501100021784;
Publishing Information
- Journal Title
- Physical Review D
- Journal Volume
- 109
- Journal Issue
- 4
- Journal Page Range
- 22 pgs.
- ISSN
- 1089-4918
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S46: INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY;
- Descriptors DEI
- APPROXIMATIONS; CARTESIAN COORDINATES; CONVERGENCE; COUPLING; COUPLING CONSTANTS; DELTA FUNCTION; DYNAMICAL SYSTEMS; FUNCTIONS; INTEGRAL TRANSFORMATIONS; PARTICLE INTERACTIONS; PERTURBATION THEORY; POWER SERIES; SERIES EXPANSION; SWITCHES
- Descriptors DEC
- CALCULATION METHODS; COORDINATES; ELECTRICAL EQUIPMENT; EQUIPMENT; FUNCTIONS; INTERACTIONS; SERIES EXPANSION; TRANSFORMATIONS
Optional Information
- Copyright
- © 2024 American Physical Society
- Notes
- Contact Email: jpologomez@uwaterloo.ca; Contact Email: emartinmartinez@uwaterloo.ca; Record automatically processed
- Funding organization
- 'la Caixa' Foundation; Natural Sciences and Engineering Research Council of Canada; Institut Périmètre de physique théorique; Government of Canada; Innovation, Science and Economic Development Canada; Ministry of Colleges and Universities