Polariton multistability in a nonlinear optomechanical cavity

Abstract

We theoretically study the polariton multistability in a solid state based optomechanical resonator embedded with a quantum well and a χ (2) second order nonlinear medium. The excitonic transition inside the quantum well is strongly coupled to the optical cavity mode. The polariton formed due to the mixing of cavity photons and exciton states are coupled to the mechanical mode which gives rise to the bistable behavior. A transition from bistability to tristability occurs in the presence of a strong χ (2) nonlinearity. Switching between bistability and tristability can also be controlled using exciton-cavity and optomechanical coupling making the system highly tunable. Tristability appears at low input power making it a suitable candidate for polaritonic devices which requires low input power.

Optical response properties and bipartite entanglement in a hybrid optomechanical system assisted by Kerr-nonlinearity and amplitude modulated drive field

“…, where χ (3) is the third-order optical susceptibility of the Kerr medium, and V c is the volume of the cavity. A strong external driving field with modulating amplitude and frequency ω c and a weak probe field with frequency ω pr drive the system.…”

“…Each operator in equation ( 3) can be expressed as the sum of their steady state values and quantum fluctuation as, a = as + δa, x = xs + δx and p = ps + δp. Since we have used a weak probe field and a strong pump laser field, therefore we can use the perturbation method to linearize the above equations of motion in equation (3). By neglecting quadratic and higher-order fluctuation terms, we obtain the following linearized QLEs of motion for all the operators as…”

“…optical mode and mechanical degrees of freedom. Since the optomechanical coupling is intrinsically nonlinear, cavity optomechanical systems display various types of nonlinear behavior like bistability/multistability [1][2][3][4], optical field squeezing [5,6], optomechanically induced transparency (OMIT) [7][8][9], normal mode splitting [10][11][12][13], quantum state transfer [14,15], quantum entanglement [16][17][18] and many more. These quantum phenomena provided by cavity optomechanical system finds application in quantum information processing and precision measurement [19], optical data storage [20], optical memories [21], quantum metrology [22], gravitational wave detection [23,24], and more.…”

“…From all the above progress in the field of optomechanics, in this paper, the optomechanical interactions between an optical field and a mechanical oscillator with a Kerr nonlinear medium inside a Fabry-Perot cavity is theoretically explored. Placing a χ (3) medium inside an optical cavity gives rise to giant optical Kerr nonlinearity, resulting in strong nonlinear interaction between photons. Significant degrees of squeezing of oscillators without classical feedback or squeezed input light have been achieved by driving optomechanical systems with a mildly amplitude-modulated light field [67].…”

Holstein–Primakoff (H‐P) Approach to Determine the Optical Response of Hybrid Optomechanical System Containing Multiple Quantum Dots

“…Simultaneously, interesting phenomenon of optical bistability has been investigated in a variety of optomechanical systems [57][58][59][60][61][62] and has been experimentally observed in semiconductor microcavities. [63] All of these systems exhibit a high degree of nonlinearity due to dynamic back action caused by radiation pressure.…”