Quantum correlations of quadratic optomechanical oscillator

Abstract

The quantum optomechanical system serves as an interface for coupling between photons, excitons, and mechanical oscillations. We use the quantum Langevin approach to study a hybrid optomechanical system that contains a single undoped semiconductor quantum well in a cavity, where one of its mirrors is a thin dielectric membrane having quadratic response to the cavity fields. A decorrelation method is employed to solve for a large number of coupled equations. Transient mean numbers of cavity photons, moving membranes, and excitons that provide dynamical behavior are computed. We obtain the two-boson second-order correlation functions for the cavity field and the membrane oscillator, and their cross correlations that provide nonclassical quantum statistical properties and useful insights into the quadratic optomechanical system.

Temporal Dynamics and Nonclassical Photon Statistics of Quadratically Coupled Optomechanical Systems

“…The above set of equations will then be closed up to second order when we apply the decorrelation method. We proceed to decorrelate the higher-(third-and fourth-) order quantum correlations present in the above equations like [28], which studied the correlation of photon pairs from a double Raman Amplifier; a hybrid quantum optomechanical system containing a single semiconductor quantum well [29]. This approach corresponds to truncation of higher-order operator products in order to solve for all the second-order correlation functions.…”

“…In addition to the mean excitation numbers for cavity â †â as well as moving membrane b †b , we have computed the normalized two-boson correlation functions for the cavity field g (2) a (0), quadratically coupled membrane g (2) b (0) , and the cross-correlation between them g (2) ab (0) using [27,28,29].…”

Enhanced weak force sensing based on atom-based coherent quantum noise cancellation in a hybrid cavity optomechanical system

“…Cavity optomechanics is an emerging research area which explores the coherent coupling between the optical mode and the mechanical mode through the radiation pressure of photons trapped inside an optical cavity [1][2][3]. It has also made significant advances in this modern era of quantum technology such as ultrahigh-precision measurement [4], gravitation-wave detection [5], quantum information processing (QIP) [6], non-classical photon statistics [7][8][9][10], quantum entanglement [11][12][13][14][15][16][17][18][19], macroscopic quantum coherence [20][21][22], ground-state cooling of mechanical oscillator [23,24], and optomechanically induced transparency (OMIT) [25][26][27][28][29][30][31][32] including quantum teleportation [33,34] and quantum communication [33][34][35]. Moreover, the measurement of weak forces at the quantum limit of sensitivity is of particular importance [36,37] and also leads to major developments in cavity optomechanical sensors [38,39].…”

Enhanced Entanglement and Controlling Quantum Steering in a Laguerre–Gaussian Cavity Optomechanical System with Two Rotating Mirrors

“…[39] In addition to the above, optomechanical systems have been experimentally used because of the development of optical micro-cavity technology. They provide an excellent test bed macroscopic entangled state, [40][41][42] coherent state, [43,44] squeezed state, [45,46] ground state cooling, [47] and optomechanically induced transparency (OMIT). [48][49][50][51][52] In principle, nothing from the principles of quantum mechanics prohibits macroscopic entanglement.…”