Transmissivity of optomechanical system containing a two-level system

Abstract

The field of quantum optomechanics is newly grooming research field, availed good attention in the last couple of years. Here, we theoretically study the system of optomechanics containing a two-level atom, which is coupled to the cavity field, and driven coherently by external fields. Analytical results for the system’s operator dynamics, steady state solutions and transmissivity of optomechanical system are calculated. Transmission (optical response) from the optomechanical system shows some useful information about the current optomechanical system. Particularly, [Formula: see text] = [Formula: see text]-g0([Formula: see text] + [Formula: see text]) is a crucial quantity in optomechanics, focused as main parameters in this paper. Optical transmission is studied in two regions. The first region (case) (i) when [Formula: see text] = [Formula: see text] - [Formula: see text], and in second region (case), (ii) [Formula: see text] = [Formula: see text] + [Formula: see text]. The transmission is examined and discussed with respect to the mechanical frequency of the oscillating mirror.

Optical Response and Drift Matrix of Quadratic Optomechanical System

“…Previously, the variation of optical response (optical transmission) within two sideband limits [24] of cavity detuning for a linearly coupled optomechanical system has been discussed analytically as well as numerically in Ref. [25] which we have reproduced on the way for quadratic optomechanical system. This work is organized as follows, in section (2) we have briefly discussed the constriction of optomechanical system followed by the Hamiltonian in mode as well as quadrature representation.…”

“…To observe the optical response of the cavity with the environment we need to focus on the transmission intensity of the system which can be evaluated after calculating complex transmission amplitude. By using input-output formalism we found the transmission amplitude as [25,27],…”

Optical response of position dependent hybrid optomechanical system

“…A single mode of excitation of mechanical oscillator is considered. The Hamiltonian of the system is [11,27],…”

“…In optomechanics numbers of papers are gifted both theoretically and experimentally. In the theoretical works, hybrid optomechanical systems are considered [11,21–25]. The position‐dependant mass of the mechanical oscillator is considered [26].…”

“…The experimental and theoretical study of optomechanics results different systems for practical purposes. For example, LIGO, vibrating microtoroids [7], optomechanical system containing atomic gas [8], nano-mechanical cantilevers [9], amplified optomechanical transduction of virtual radiation pressure [10], membranes are among such systems [11]. Recently, unusual quantum acoustic phenomena is observed from sound-matter interaction, where a position-dependent phase is introduced by varying driving laser [12].…”