https://doi.org/10.1140/epjp/s13360-022-03491-z
Regular Article
Propagation of bogolons in superfluid light: time-like effects in non-uniform optical media
1
GoLP, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal
2
Department of Mathematics, College of Arts and Sciences, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi, United Arab Emirates
Received:
15
July
2022
Accepted:
9
November
2022
Published online:
21
November
2022
We consider the evolution of bogolons in superfluid light, propagating in a non-uniform optical medium. This non-uniformity is perceived as a temporal change of the superfluid. We focus on sharp non-uniformities, due to the existence of boundaries between two optical media. This leads to time-refraction of bogolons, a process similar to time-refraction of photons. Time-refraction leads to a change of the bogolon “frequency”, with the formation of a reflected signal. Fresnel-type of formulas for the reflection and transmission coefficients are derived. The case of two successive boundaries, forming a barrier, is also examined. As in photon optics, the reflection and transmission coefficients oscillate as a function of the barrier length. Time-refraction and time crystals are two distinct physical configurations leading to the emission of bogolon-pairs.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
