Supersymmetry in the time domain and its applications in optics.

Abstract:

:Supersymmetry is a conjectured symmetry between bosons and fermions aiming at solving fundamental questions in string and quantum field theory. Its subsequent application to quantum mechanics led to a ground-breaking analysis and design machinery, later fruitfully extrapolated to photonics. In all cases, the algebraic transformations of quantum-mechanical supersymmetry were conceived in the space realm. Here, we demonstrate that Maxwell's equations, as well as the acoustic and elastic wave equations, also possess an underlying supersymmetry in the time domain. We explore the consequences of this property in the field of optics, obtaining a simple analytic relation between the scattering coefficients of numerous time-varying systems, and uncovering a wide class of reflectionless, three dimensional, all-dielectric, isotropic, omnidirectional, polarisation-independent, non-complex media. Temporal supersymmetry is also shown to arise in dispersive media supporting temporal bound states, which allows engineering their momentum spectra and dispersive properties. These unprecedented features may enable the creation of novel reconfigurable devices, including invisible materials, frequency shifters, isolators, and pulse-shape transformers.

journal_name

Nat Commun

journal_title

Nature communications

authors

García-Meca C,Ortiz AM,Sáez RL

doi

10.1038/s41467-020-14634-0

subject

Has Abstract

pub_date

2020-02-10 00:00:00

pages

813

issue

1

issn

2041-1723

pii

10.1038/s41467-020-14634-0

journal_volume

11

pub_type

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