Switching Purcell effect with nonlinear epsilon-near-zero media

Abstract

An optical topological transition is defined as the change in the photonic iso-frequency surface around epsilon-near-zero (ENZ) frequencies which can considerably change the spontaneous emission of a quantum emitter placed near a metamaterial slab. Here, we show that due to the strong Kerr nonlinearity at ENZ frequencies, a high-power pulse can induce a sudden transition in the topology of the iso-frequency dispersion curve, leading to a significant change in the transmission of propagating as well as evanescent waves through the metamaterial slab. This evanescent wave switch effect allows for the control of spontaneous emission through modulation of the Purcell effect. We develop a theory of the enhanced nonlinear response of ENZ media to s and p polarized inputs and show that this nonlinear effect is stronger for p polarization and is almost independent of the incident angle. We perform finite-difference time-domain (FDTD) simulations to demonstrate the transient response of the metamaterial slab to an ultrafast pulse and fast switching of the Purcell effect at the sub-picosecond scale. The Purcell factor changes at ENZ by almost a factor of three which is an order of magnitude stronger than that away from ENZ. We also show that due to the inhomogeneous spatial field distribution inside the multilayer metal-dielectric super-lattice, a unique spatial topological transition metamaterial can be achieved by the control pulse induced nonlinearity. Our work can lead to ultra-fast control of quantum phenomena in ENZ metamaterials.

Control of the emission of elementary quantum systems using metamaterials and nanometaparticles

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Спиновый Угловой Момент Нелинейной Поверхностной Волны На Границе Раздела Обычного И Топологического Изоляторов

“…Имеют место два случая выбора знака параметра ε 2 : ε 2 > 0 и ε 2 < 0. Для материалов с диэлектрической проницаемостью, близкой к нулю [19,30,31], оба случая могут быть реализованы путем подбора частоты излучения.…”

“…В данной работе будет рассмотрена граница раздела ТИ и нелинейной среды. Материалы, обладающие нелинейной восприимчивостью, есть среди сред с диэлектрической проницаемостью, близкой к нулю [19,30,31]. Нелинейную восприимчивость керровского типа могут иметь металлы [32][33][34][35][36].…”

Frenkel-Poole Mechanism Unveils Black Diamond as Quasi-Epsilon-Near-Zero Surface

“…In this paper, we demonstrate through the FP effect that by enhancing the surface nanostructuring of a diamond (bulk relative permittivity equal to 5.5), it is possible to obtain its value diminution up to about 10 −2 . This is equivalent to considering the black diamond surface almost as an Epsilon Near Zero material (ENZ), representing a singularity in optical materials [ 14 , 15 , 16 , 17 , 18 ]. As observed for other ENZ surfaces [ 19 , 20 , 21 ], the coupling of such surfaces with nanoantennas allows us to obtain optical non-linearities and strongly improve the directionality of the emitted electromagnetic field; it is expected to lead to remarkable developments in the fields of integrated photonic devices and optical interconnections through the modulation of the Purcell effect [ 22 ] (i.e., the increase in spontaneous emission rate generally used to classify nanoantennas).…”