| Nowadays, optomechanical system plays an important role in quantum field for its amaz-ing effects with the development of new fabrication methods and experimental techniques. Optomechanical system provides us wide perspectives for understanding quantum physics and for the applications of quantum information processing. As a natural bridge linking the photon field and the phonon field, optomechanical system can build the entanglement, squeezing and synchronization between optical mode and mechanical mode. It can be a con-vertor to transfer the state, a controller to manipulate the information between photon and phonon modes, as well as a cooler to cool the mechanical oscillator to its ground state. In addition, ultrasensitive detection of the weak force and QND of the optical phase has been demonstrated experimentally in optomechanical system. Optomechanical system nowadays has attracted a lot of attention, especially after the success of gravitational wave detection by LIGO. Recently, in order to enhance the weak coupling rate of optomechancs due to the huge difference of frequency between optical mode and mechanical mode, on one hand, people attempt to enhance the single-photon coupling rate by improving the experimental technolo-gy. On the other hand, people use the strong driving field to amplify the linearized coupling effect, which was subsequently realized experimentally. Comparing to the development of the above "linearized" field, however, there are only few works in non-Markovian and nonlinear regime.The thesis focuses on the field of non-Markovian and nonlinear regime. In the non-Markvian regime, we investigate the sideband cooling and ultrasensitive detection based on the fundamental optomechanical system coupled to a general non-Markovian bath. By solv-ing the exact dynamics of the optomechanical system, we obtain a general analytical result of the phonon number and find that the non-Markovian environment can provide an additional pathway to cool down the oscillator due to the memory effect. If the backflow from the bath is large enough, the high-temperature bath will be regarded as a freezer for the cooling of the oscillator. Then we project the system into the frequency domain, getting the general analyt-ical result of the output signal. We show that the susceptibility can be efficiently amplified and the additional noise can be significantly reduced in the structured bath by comparing with the Markovian condition. When it comes to the nonlinear regime, we investigate the equivalence Kerr nonlinearity in optomechanical system and show that the nonlinearity of the cavity optomechanical system can be employed to perform the control phase-flip gate.In addition, we study the conventional photon blockade and unconventional photon blockade effect in both the single-photon strong-coupling regime and the single-photon weak-coupling regime based on the nonlinear interacting and multipath interference. Furthermore, we show that the compound optomechanical system can be implemented as a quantum optical diode, a single-photon source and a quantum optical capacitor. Our results provide a promising platform for the quantum manipulation of optomechanics, which should have potential ap-plications for mechanical ground state cooling, ultrasensitive force detection and quantum information processing. |
PDF Full Text Request