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Physical Review A

Controllable vacuum Rabi splitting and optical bistability of multi-wave-mixing signal inside a ring cavity

Jiamin Yuan, Weikang Feng, Peiying Li, Xun Zhang, Yiqi Zhang, Huaibin Zheng, Yanpeng Zhang

Published Dec 17, 2012• 43 citations
Publisher

Abstract

We theoretically demonstrate the influence of dark and bright states on vacuum Rabi splitting (VRS) and optical bistability (OB) of the multi-wave-mixing (MWM) process in a collective four-level atomic-cavity coupling system. We numerically investigate the multidressed VRS and OB behavior of the zero- and high-order transmitted cavity modes of MWM signals. A further study demonstrates that VRS and self-Kerr nonlinearity OB can coexist and compete with each other in a cascade relationship, based on which we achieve the goal to control VRS and OB simultaneously through the dark state in the atomic system.

DOI
10.1103/physreva.86.063820

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We theoretically demonstrate the influence of dark and bright states on vacuum Rabi splitting (VRS) and optical bistability (OB) of the multi-wave-mixing (MWM) process in a collective four-level atomic-cavity coupling system. We numerically investigate the multidressed VRS and OB behavior of the zero- and high-order transmitted cavity modes of MWM signals. A further study demonstrates that VRS and self-Kerr nonlinearity OB can coexist and compete with each other in a cascade relationship, based on which we achieve the goal to control VRS and OB simultaneously through the dark state in the atomic system.
Abstract We demonstrate experimental observation of vacuum Rabi splitting (VRS) of four-wave mixing and six-wave mixing in a collective five-level atomic-cavity coupling system. We study the control of VRS via changing the dressing effect of the vacuum cavity mode; i.e., the cavity mode dressing effect can selectively split the right or left peak when cavity-atom detuning and atom number N are changed. We further report that the cavity window and two electromagnetically induced transparency (EIT) windows induced by the dressing field interfere with each other because of different two-photon conditions they satisfy. Additionally, we investigate the self-dressing field effect on VRS of six-wave mixing (SWM) inside the cavity. Such investigation results can find application in all-optical switches and optical communications.
The phenomenon of "dark resonances" is a well-known concept in quantum optics and laser spectroscopy. As a general rule, interactions involving in such a "dark state" lead to multiple quantum superposition states that interact coherently and are undesirable. In this paper, two types nonlinear interaction in an atomic cavity, namely the nested and cascaded interactions, are theoretically analyzed how the dark resonances form the dark state peak to modulate the vacuum Rabi splitting (VRS) and optical bistability (OB) behavior. In both the zero- and high order modes, there are four VRS peaks generated in the nested interaction and three in the cascade interaction. Dark resonance can modulate not only the peak number of VRS, but also the OB thresholds. It is found that dark state can determine the asymmetric OB distribution of nested type and symmetric OB distribution of cascade type. Besides that, the distinctive OB thresholds in two kinds of interaction also be studied. The observations not only conceptually extend the conventional "dark resonances" phenomenon, but also opens the door for a variety of new applications in tunable all-optical switch and quantum communication.
The relationship between optical bistability (OB) and vacuum Rabi splitting is experimentally demonstrated in an atomic ensemble confined in a three-mirror optical cavity. The vacuum-induced splitting and bright states can effectively affect the bistable behaviour by manipulating multiple parameters such as atomic density and detuning. Also, we observed another kind of “∞”-shape OB by scanning the probe/cavity detuning. The study can make a contribution to better understand the OB and other dynamical behaviours in a composite atom-cavity system.
We theoretically demonstrate the influence of dark states on single-mode and two-mode optical squeezing in a four-level atomic–cavity coupling system through fifth- and third-order cascade nonlinearity. We first show the cone emissions of self-diffraction and phase-conjugate spontaneous parametric (SP) four-wave mixing processes. Then, we inject a coherent or Einstein–Podolsky–Rosen field into the SP-MWM channels to investigate the corresponding squeezing. The investigations have potential applications in quantum information processing.
We experimentally demonstrate collective strong coupling, optical bi-stability (OB), and all-optical switching in a system consisting of ultracold 85Rb atoms, trapped in a dark magneto-optical trap (DMOT), and coupled to an optical Fabry-Perot cavity. The strong coupling is established by measuring the vacuum Rabi splitting (VRS) of a weak on-axis probe beam. The dependence of VRS on the probe beam power is measured, and bi-stability in the cavity transmission is observed. We demonstrate control over the transmission of the probe beam through the atom-cavity system using a free-space off-axis control beam and show that the cavity transmission can be switched on and off in micro-second timescales using micro-Watt control powers. The utility of the system as a tool for sensitive, in-situ and rapid measurements is envisaged.
We report experimental studies of bright-state polaritons of four-wave mixing (FWM) and six-wave mixing (SWM) signals through cascade nonlinear optical parametric amplification processes in an atom-cavity composite system for the first time. Also, the coexisting cavity transmission modes of parametrically amplified FWM and SWM signals are observed. Finally, electromagnetically induced absorption by the FWM cavity modes in the probe beam is investigated. The investigations can find potential applications in multi-channel narrow-band long-distance quantum communication.