Sum rules in multiphoton coincidence rates
| Autor: | Hubert de Guise, David Amaro-Alcalá, Dylan Spivak |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Scattering Mathematical analysis FOS: Physical sciences General Physics and Astronomy Modulus Mathematical Physics (math-ph) 01 natural sciences Unitary state Coincidence 010305 fluids & plasmas Term (time) Interferometry Matrix (mathematics) 0103 physical sciences Coset Quantum Physics (quant-ph) 010306 general physics Mathematical Physics |
| Zdroj: | Physics Letters A. 384:126459 |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/j.physleta.2020.126459 |
| Popis: | We show that sums of carefully chosen coincidence rates in a multiphoton interferometry experiment can be simplified by replacing the original unitary scattering matrix with a coset matrix containing $0$s. The number and placement of these $0$s reduces the complexity of each term in the sum without affecting the original sum of rates. In particular, the evaluation of sums of modulus squared of permanents is shown to turn in some cases into a sum of modulus squared of determinants. The sums of rates are shown to be equivalent to the removal of some optical elements in the interferometer. Comment: Post publication version which includes minor typos fixes and clarifications. 21 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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