| 研究概要 |
In FY 2013, my studies mainly focused on the following two topics :
i) Few-photon physics in quadratic optomechanical systems We studied single-photon emission and scattering in quadratic optomechanical systems. We calculated the spectrum, photon-phonon entanglement, and mechanical quadrature squeezing in the single-photon processes. In particular, we established the relationship between the spectral features and the system parameters. We also studied the steady-state photon statistics of a quadratic optomechanical cavity in the weak-driven regime. We examined the photon blockade by analytically and numerically evaluating the second-order correlation function of the cavity photons. The results show that, in the deep-resolved-sideband and single-photon strong-coupling regimes, the single-photon resonant driving will induce a photon blockade, which is limited by the thermal noise of the mechanical environment.
ii) Entangling two macroscopic mechanical mirrors in a two-cavity optomechanical system We proposed a simple method to generate quantum entanglement between two macroscopic mechanical resonators in a two-cavity optomechanical system. This entanglement is induced by the radiation pressure of a single photon hopping between the two cavities. Our results are analytical, so that the entangled states are explicitly shown. Up to local operations, these states are two-mode three-component states, and hence the degree of entanglement can be well quantified by the concurrence. By analyzing the system parameters, we found that, to achieve a maximum average entanglement, the system should work in the single-photon strong-coupling regime and the deep-resolved-sideband regime.
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