Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme

Abstract

We study theoretically an optical cavity and a parity-time (PT )-symmetric pair of mechanical resonators, where all oscillators are pairwise coupled, forming an optomechanical system with a closed-contour interaction. Due to the presence of both gain and feedback, we explore its stability and the root loci over a wide coupling range. Under the red-sideband pumping and for the so-called PT -unbroken phase, it displays a double optomechanically induced transparency (OMIT) for an experimentally realizable parameter set. We show that both the transmission amplitude and the group delay can be continuously steered from the lower transmission window to the upper one by the loop coupling phase which breaks the time-reversal symmetry and introduces a static synthetic gauge field. In the PT -unbroken phase both the gain-bandwidth and delay-bandwidth products remain constant over the full range of the controlling phase. Tunability in transmission and bandwidth still prevails in the PT -broken phase, albeit over a reduced range. In essence, we suggest a simple scheme that grants coupling phase-dependent control of the single and double OMIT phenomena within an effective PT -symmetric optomechanical system.

Controlling double optomechanically induced transparency and slow/fast light in an electro-optomechanical system via an optical parametric amplifier

“…Recently, double-OMIT and multiple-OMIT have attracted intense interest in recent years [24][25][26][27][28][29][30][31][32][33]. For example, double-OMIT can be observed in an optomechanical system with a closed-contour interaction [24], nanomechanical resonator cavity system [25], two mechanical modes optomechanical system [26], charged nanomechanical resonator optomechanical system [27,28].…”

“…Recently, double-OMIT and multiple-OMIT have attracted intense interest in recent years [24][25][26][27][28][29][30][31][32][33]. For example, double-OMIT can be observed in an optomechanical system with a closed-contour interaction [24], nanomechanical resonator cavity system [25], two mechanical modes optomechanical system [26], charged nanomechanical resonator optomechanical system [27,28]. Meanwhile, the exploration of cavity optomechanical system for multiple-OMIT has been performed with the help of an atom [29], hybrid nanoelectro-optomechanical system [30], two-cavity system [31] and three-wave mixing system [32].…”

Optomechanically induced transparency in a hybrid system containing two-level atomic ensemble and optical parametric amplifier

“…With the rapid development of quantum information, researchers are full of strong interest in double-OMIT [18] and even multiple-OMIT [19,20]. Since the 21st century, scientists have made a lot of good achievements in the study of electromagnetic induced transparency [21][22][23][24][25].…”