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Physica Scripta

Phase time delay caused by quantum effects in nearby plasmonic nanostructures of a one-dimensional photonic crystal

Fazal Badshah, Rahmatullah Rahmatullah, Muhammad Zain Yousaf, Syed Majjad Hasan Gilani, Qing He, Muqaddar Abbas

Published Oct 4, 2023• 1 citation
Publisher

Abstract

Abstract A one-dimensional photonic crystal (1DPC) incorporated with a defect layer containing a four-level double V-type quantum system adjacent to a plasmonic nanostructure is employed to investigate the Hartman effect. The study involves the interaction of two orthogonal circularly polarized laser beams with the defect layer, possessing identical frequencies but vary in phase and electric field amplitude. The defect layer exhibits quantum system adjacent to plasmonic nanostructure and field interaction phenomena like optical transparency, nonzero dispersion with zero absorption, gain without inversion, and others related effects. By manipulating the phase of the driving fields and probe detuning, the 1DPC can function as either a positive index material (PIM) or a negative index material (NIM), correlating to the normal and anomalous dispersion of the defect layer, respectively. The positive and negative Hartman effects for PIM and NIM, respectively, can be observed by adjusting the relative phase with respect to the driving fields. Our suggested approach might be used in optical memory, all-optical switching, all-optical routing, and interferometry.

DOI
10.1088/1402-4896/ad0005

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Abstract In this paper, we examine the transmission of a probe field through a one dimensional photonic crystal (1DPC) when the sixth layer of the crystal is doped with four level atoms. We analyze effects of the external driving field on the passage of weak probe field across the photonic crystal. It is found that for the phase time delay of the probe photons, intensity of the driving field switches the Hartman effect from sub to superluminal character. It is interesting to note that in our model, the superluminal transmission of the probe pulse is accompanied by a negligibly small absorption of the incident beam. It ensures that the probe field does not attenuate while passing through the photonic crystal. A similar switching of the Hartman effect may be obtained by adjusting detuning of the probe field related to the excited states of the four-level doping atoms .
The Hartman effect in a one-dimensional photonic crystal containing a defect layer doped by three-level ladder-type atoms is theoretically investigated for normal and oblique incidences. The influence of the relative phase of applied fields and the intensity of the coupling field on the Hartman effect is then discussed. We find that the Hartman effect can be switched from positive to negative (or vice versa) by adjusting the relative phase of applied fields and the intensity of the coupling field and by choosing the proper incident angle.
The optical bistability and multistability properties of a four-level quantum system near a plasmonic nanostructure embedded in a unidirectional ring cavity are studied theoretically. Two orthogonal circularly polarized laser fields with the same frequency, different phases and electric fields amplitude are interacted by four-level quantum system. It is found that in the presence of the plasmonic nanostructure, the bistable behaviors related to one of the laser fields propagating through the unidirectional ring cavity can be modified by relative phase and amplitude control of another laser fields. Our obtained results show that the optical bistability can be converted into the optical multistability by varying the value of distance between the quantum system and the surface of the plasmonic nanostructure. Moreover, it is shown that under specific condition related to the distance, the lasing without population inversion can be obtained.
Abstract In this letter, we proposed a brand-new version for investigating the optical bistability (OB) and optical multistability (OM) through electron tunneling impact in a defect one-dimensional photonic crystal (1DPC). The defect layer of 1DPC is doped with double quantum dot (DQD) nanostructure which interacts with an indirect incoherent pump and a susceptible probe incident light, respectively. By the usage of the quantum mechanical density matrix method, we first examine the refractive index properties of the defect layer through electron tunneling and indirect incoherent pumping effects. Then, through the usage of the transfer matrix methods, we acquire the reflection and transmission coefficients of the defect 1DPC. At the end, we discuss the OB and OM properties of the reflected and transmitted lighting in negative refractive index situation of the DQD. We determine that during a few parametric conditions the switching from OB to OM or vice versa is feasible for reflected and transmitted light beams.