Bistability in a hybrid optomechanical system: effect of a gain medium

Abstract

In this paper, we investigate the optical bistability of a hybrid optomechanical system consisting of two coupled cavities: a bare optomechanical cavity (with an oscillating mirror at one end) and a traditional one. The traditional cavity is filled with an optical parametric amplifier (OPA), and an input pump laser is applied to it. The Hamiltonian of the system is written in a rotating frame. The dynamics of the system is driven by the quantum Langevin equations of motion. We demonstrate that the presence of an OPA can dramatically affect the type of stability of the optomechanical cavity. We show that it is possible to create a proper optical bistability for the optomechanical cavity by changing the gain coefficient of the OPA. Also, it is shown that changing the phase of the field driving the OPA has two different effects on the bistability region of the optomechanical cavity. Moreover, we show that by choosing a proper value for the detuning of the traditional cavity it is possible to observe a tristable behavior in the optomechanical cavity.

An investigation of rotation rate sensitivity of a quantum optomechanical gyroscope with two coupled cavities

“…( 1), the Hamiltonian terms are respectively related to the Fabry-Perot cavity, optomechanical cavity, mechanical oscillator, interaction of radiation with mechanical oscillator, coupling of two cavities, and laser driver. For these Hamiltonian sentences, we have [9,10]:…”

“…By changing the environmental conditions of the optomechanical cavities, which leads to a change in the coupling between the radiation and the mechanical oscillator, more improvement can be archived. An example of these cases is the use of pairing with another cavity, which was previously employed in bi-stability changing [10], and optomechanical-induced transparency [11]. In this article, to change the optomechanical interaction, we have used a simple Fabry-Perot cavity to control the input energy inside the optomechanical cavity and hence control the radiation pressure inside it.…”

Entanglement control in a laser driven single layer graphene system

“…Therefore, this characteristic of graphene leads to unique phenomena in the interaction with light [2][3][4]. As we know, the interaction of light with atomic systems [5][6][7][8][9][10][11], quantum dots [12][13][14][15] and other materials [16][17][18][19][20][21][22][23][24][25] has led to the observation of many phenomena in quantum nonlinear optics. Phenomena such as electromagnetically induced transparency [26], optical bistability (OB) [27][28][29][30], enhanced Kerr effect [31], optical solitons [32] and others [10,[33][34][35][36][37][38] were widely studied by different researchers.…”

Output spectra of a hybrid electro-optomechanical system: Effect of a DC voltage

“…In recent years, a large number of attentions have been payed in the field of optomechanics [1,2], in which different considerable phenomena have been met. Achieved results from merged quantum mechanical systems with nano and micro mechanical oscillators show the capability of these systems for different applications such as cooling of a mechanical resonator [3][4][5], optical bistability [6][7][8], optomechanical mass sensors [9], detection of weak microwave signals [10][11][12] and optomechanical photon blockade [13].…”