Enhanced optomechanically induced transparency and slow/fast light in a position-dependent mass optomechanics
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Enhanced optomechanically induced transparency and slow/fast light in a position-dependent mass optomechanics Kamran Ullah1,a and Hameed Ullah2 1 2
Department of Physics, Quaid-i-Azam University, 45320 Islamabad, Pakistan Institute of Physics, UFRGS, Av Bento Goncalves, 9500 Porto Alegre, RS, Brazil Received 19 May 2020 / Received in final form 8 July 2020 / Accepted 11 August 2020 Published online 1 October 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. We impart a theoretical method to enhance optomechanically induced transparency (OMIT) and slow/fast light in a standard optomechanical system composed of a fixed mirror and a moving end mirror. The system is driven by a strong pump field and probed by a weak probe field, respectively. We consider the mass of the mechanical resonator is position-dependent which generates a nonlinear effect in the system. In this paper, we show that the nonlinear parameter α of the position-dependent mass shifts the system from Stokes to the anti-Stokes regime, as a result, OMIT of the transmission field enhances. Further, we show the nonlinear parameter α changes the transparency window from symmetric to asymmetric window profile and looks like Fano resonances. Moreover, in the presence of α, we explain the behavior of mirror field coupling on the width of the transparency window as well. In particular, we present the enhancement of slow/fast light corresponds to the positive/negative dispersion of the phase associated with the transmission probe field.
1 Introduction In the last two decades, the experimental progress has made cavity optomechanics a playground for the study of a variety of regimes such as quantum ground-state cooling [1–3] and the detection of strong coupling [4–6]. Cavity optomechanics, where optical modes produce the radiation pressure force on the mechanical oscillator [7], is a topical area of research in the current optics and photonics [8,9]. The experimental efforts have proved that both a cavity field and a mechanical resonator can be coupled to other systems, therefore, optomechanical systems have an important role in developing complex quantum networks. The growing interest in such systems is associated with their wide range of potential applications including the generation of optomechanical entanglement [10,11], the preparation of a quantum squeezed state [12–14], normal mode splitting [15–17], Kerr effect [18], quantum information processing [19] and optical sensors [20]. The phenomenon of OMIT arises due to quantum interference between two alternative indistinguishable excitation pathways of a probe field with the internal quantum states of an optomechanical system created by the coupling of mechanical mode with one of an optical cavity. Such interference was first observed in a Sr atom gas in 1991 [21] in which destructive interference of two dressed states analogous to electromagnetically a
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