Optical response of position dependent hybrid optomechanical system

• Published in: International journal of quantum chemistry Vol. 123; no. 17
• Main Authors: Qayyum, A., Farooq, K., Ali, Hazrat, Asghar, H. M. Noor ul Huda Khan, Gilani, Zaheer Abbas
• Format: Journal Article
• Language: English
• Published: Hoboken, USA John Wiley & Sons, Inc 05-09-2023; Wiley Subscription Services, Inc
• Subjects: Atomic properties; Chemistry; Hybrid systems; Mathematical analysis; Mechanical oscillators; optics; Opto-mechanics; Physical chemistry; quantum information; quantum mechanics; quantum optics; quantum optomechanics; Quantum physics; Resonators
• ISSN: 0020-7608; 1097-461X
• DOI: 10.1002/qua.27144

Optomechanics is a growing field of research, studies the interaction between optical field and mechanical oscillator. In this study, we theoretically analyze a hybrid system which consists of Fabry Perot cavity containing two‐level N‐ Number of atoms. The cavity having two mirrors one is fixed, and other is oscillating. The oscillating mirror has a position dependent mass, considered as effective mass. The mechanical resonator generates a nonlinear effect because it is position dependent. Dynamics of the system's operators, steady‐state solutions, and optical response of the hybrid optomechanical system are analytically calculated. Optical response in the regime of position dependent effective mass (PDEM) are the main result in this article. We deduced that position dependent parameter of the resonator not only effect the dynamics but also the optical response of the optomechanical system.
(a) Schematic diagram of an optomechanical system. The oscillating mirror has an effective mass m(q) coupled with cavity field. The cavity is driven by external field of frequency ωL. Inside cavity N number of two‐level atoms are present. Transmission field is aT. (b) The optical response as a function of detuning Δ is taken. The number of atoms N=5, C=2, while α=0.1, 0.5 and 1. All other parameters like cavity decay rate, frequency of mechanical oscillator, the coupling strength b/w cavity field and oscillating mirror, the decay rate of two‐level system and coupling strength b/w the cavity field and the atomic system are fixed. (c) The optical response; The number of atoms N=5, α=0.1, C=0, 0.5, 1, 1.5 and 2.