Multi-channel optomechanically induced amplification in a parity-time-symmetric Laguerre-Gaussian rovibrational-cavity s
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
Multi-channel optomechanically induced amplification in a parity-time-symmetric Laguerre-Gaussian rovibrational-cavity system Shi Rao1,2,a and Yanxia Huang2,3 1
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Hubei Engineering Technology Research Center of Energy Photoelectric Device and System, School of Science, Hubei University of Technology Wuhan, 430068 Hubei, P.R. China Key Laboratory of Quantum Information, Chinese Academy of Sciences, University of Science and Technology of China Hefei, Anhui 230026, P.R. China College of Physics and Electronic Science, Hubei Normal University Huangshi, Hubei 435002, P.R. China Received 18 June 2020 / Received in final form 27 September 2020 / Accepted 30 September 2020 Published online 1 December 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. This paper studies the response of a parity-time-symmetric Laguerre-Gaussian-cavity optomechanical system to a weak probe field, where an active cavity is coupled to a Laguerre-Gaussian rovibrational-cavity system. It is shown that three-amplification-peak profile emerges for the probe transmission. The transmission rate can be adjusted by controlling the coupling coefficient, the pump amplitude and the topological charge. Besides, we find that the light transmission group delay can be altered between positive and negative value by adjusting the coupling coefficient and the topological charge. This study can be applied to light propagation manipulation and quantum precision measurement.
1 Introduction Electromagnetically induced transparency (EIT) [1–4] is a quantum interference effect that allows the propagation of a probe field in the atomic system by manipulating another strong control field. EIT system has been envisaged as a versatile platform for carrying out interesting quantum effects, such as enhanced nonlinearity [5], slow light [6,7] and quantum memory [8,9]. In recent decades, optomechanically induced transparency (OMIT) [10–12], a phenomenon analogous to the EIT, has been a hot topic. Due to the interaction between optical fields and mechanical modes, there are two pathways for excitation of the probe field into the cavity. The destructive interference between the two pathways leads to a transparency window in the conventional absorbed frequency region. It is demonstrated that OMIT can be utilized in many fields including quantum router [13], light propagation manipulation [14], precision measurement [15–17]. Recently, a Laguerre-Gausssian (L-G) rotational-cavity optomechanical system [18,19] composed of two spiral phase elements acting as cavity mirrors has been proposed. The cavity mode in this system is Laguerre-Gaussian mode and can exchange orbital angular momentum with spiral phase elements. L-G rotational-cavity system has been a fascinating platform for carrying out quantum a
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effect like entanglement [18,19,21], ground state cooling [20] and OMIT [17,22,23]. Different from conventional optomechanic
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