Manipulation of Goos-Hänchen shifts in the atomic configuration of mercury via interacting dark-state resonances

Abstract

We study the manipulation of Goos-Hänchen (GH) shifts for the reflected and transmitted probe light pulses injected into a cavity containing four-level configuration mercury atoms where the probe transition is in the ultraviolet (UV) region with a wavelength of 253.7 nm. Different behaviors of the GH shifts can be observed in the absence, or presence, of two driving fields as well as an incoherent pump field. When neither coherent driving fields nor incoherent pumping is turned on, we realize negative reflected GH shifts for anomalous dispersion. Including only one driving field leads to subluminal-based light propagation with positive lateral shifts at certain incident angles. Taking into account the impact of both driving fields, negative GH shifts reappear in the reflected part of the incident light. The origin of this defect is attributed to interacting double dark resonances due to a high-resolution absorption peaks with a very steep negative slope of dispersion in the susceptibility profile. We then show that one can surpass this defect by applying a weak incoherent pumping field to obtain positive GH shifts for both reflected and transmitted light beams. Finally, using the 6 1 P 1 ↔ 6 1 S 0 transition of Hg, we generalize our study to the case where the wavelength of the probe transition is 185 nm which is in the vacuum-ultraviolet domain. Although the number of oscillations is now increased, however, similar results are reported with respect to the case of UV transition.

Atom position measurement in a four-level Lambda-shaped scheme with twofold lower-levels

“…Also, a number of quantum optical phenomena based on quantum coherence and quantum interference have studied (Harris 1989;Wu and Yang 2005;Li et al 2011;Wang and Yu 2012;Hamedi 2014;Wu and Yang 2007;Wu 2005;Hamedi et al 2014;Bai et al 2010;Wang et al 2013;Hamedi 2015;Wu and Yang 2004;Hamedi et al 2013;Hamedi 2014;Ou et al 2009;Han et al 2011;Yang et al 2008;Ding et al 2010;Zhang et al 2013;Wu and Yang 2007;Wu et al 1999;Wang et al 2012;Yang et al 2009;Li et al 2006Li et al , 2008Li 2007;Zhang et al 2012;Cheng et al 2004). There exist various one dimensional (1D) and two dimensional (2D) schemes for atom and electron localization properties of media by monitoring spontaneous emission spectrum and by monitoring absorption of a weak probe field (Sahrai et al 2005;Kapale and Zubairy 2006;Xu et al 2008;Li et al 2011;Ding et al 2011;Wang and Yu 2014;Ding et al 2011a, b;Zhang et al 2014;Hamedi 2014;Wang et al 2013).…”

“…There exist various one dimensional (1D) and two dimensional (2D) schemes for atom and electron localization properties of media by monitoring spontaneous emission spectrum and by monitoring absorption of a weak probe field (Sahrai et al 2005;Kapale and Zubairy 2006;Xu et al 2008;Li et al 2011;Ding et al 2011;Wang and Yu 2014;Ding et al 2011a, b;Zhang et al 2014;Hamedi 2014;Wang et al 2013). For instance, Xu et al (2008) investigated the possibility to 1D localization of a two-level atom in a half-wavelength region by using a trichromatic field to drive the atom.…”

“…The localization behavior of an asymmetric coupled quantum well (CQW) driven by two orthogonal standing-wave lasers based on intersubband transitions is recently investigated (Hamedi 2014).…”

Goos-Hänchen shift in a standing-wave-coupled electromagnetically-induced-transparency medium

“…By applying a strong driving laser, the refractive index o f the atom ic sam ple can be altered. And this can be realized in two-level system s [28,29], three-level A system s, four-level system s [30,31], and N-type system s [32], 'Corresponding author: zhangxj@cho.ac.cn Electrom agnetically induced transparency (E1T) [33] can provide a steep dispersion w ithin the narrow transparent window for the probe light, and it can be used as an effective w ay to m odify the refractive index w ith low er dissipation. N orm ally, EIT can be realized in a three-level system with two traveling fields, the coupling and probe fields, driving two atomic transitions that share a com m on upper atomic level.…”

2-D isotropic negative refractive index in a N-type four-level atomic system

“…Here, we rst explore the possibility of implementing 2-D NRI media by using the quantum coherence e ect [13][14][15][16] in a four-level atomic system, which is driven by the orthogonal signal and coupling standing-wave elds. Thus, we can explicitly investigate the left-handedness and NRI of the resonant atomic system in the x-y plane.…”