Manipulations Of The Optical-field Transport And The Mechanical Resonator In Hybrid-cavity-optomechanical Systems

Cavity-optomechanics is a novel research field combining the high-Q cavity field and the mechanical resonator.Cavity optomechanical system mainly study the interaction between the cavity field and the mechanical mode and play an important role in precise measurement,fundamental physics and quantum sensors.Recently advances in micro-and nano-fabrication have thereby facilitate great developing of a variety of experimental cavity optomechanical systems spanning several orders of magnitude in size.Cavity optomechanical systems also serve as one type of important solid quantum information processing device and have a wide range of possible applications for quantum state transfer or storage,ground-state cooling of macroscopic mechanical resonator,and interface between different sub-quantum units.In this thesis,we mainly study how the optomechanical interaction affect the transmission of both the optical field and mechanical oscillation,and also the statistical properties of photons and phonons.Especially,we propose a PT-symmetry-like optomechanical system and study the effects of PT-phase transition on the transmission of optical fields.We find that in PT-symmetry regime,an Aulter-Townes-splitting like spectrum can be observed and further developed to amplify the probe signal;in broken symmetry regime,we observe a unconventional electromagnetically-induced-transparency and a ultralong group delay of the probe field.Further,we propose a PT-symmetric mechanical system and study the field localization with broken PT-symmetry.We also find that the localized field can be used to greatly amplify the weak nonlinearity of the phonon,under which the phonon transport is nonreciprocal.The unidirectional phonon transport enabled by the PT-breaking-induced strong mechanical nonlinearity can Be used to fabricate lossless phonon diodes in on-chip systems.After entering the quantum regime,the optomechanical interaction can also be used to manipulate the statistical properties of photons and phonons,which always requires a strong single-photon coupling rate.In this thesis,we propose a coherent feedback control scheme and by introducing the destructive quantum interference,a strong antibunching of optical fields are observed under weak optomechanical coupling strength.Furthermore,we promote such destructive-interference-induced-blockade mechanism to hybrid optomechanical-atom system and more general cavity-quantum-electrodynamical systems and discuss the feasibility of achieving the single-photon source?In additional to manipulate the single photon,we also propose an active-cavity coupled hybrid-cavity-optomechanical system and study the ground-state cooling of mechanical resonator for the following study of manipulating the single phonon.We find that the active cavity can induce the localization of fields which in turn makes the energy flows in single direction,e.g.,the energy flows from mechanical resonator to the passive optomechanical-cavity and keep on flowing to the active optical cavity,finally localized there.Such field-localization greatly enhance the cooling rate of phonons and the net damping of mechanical resonator.Especially,we find that our proposal works for the ground-state cooling of low-frequency mechanical resonator(e.g.,~MHz)in the room temperature.Such breakthrough also implies a precooling-free ground-state cooling scheme.The study of this paper broadens the application of optomechanical system in controlling the transmission of classical optical field and mechanical energy.After entering the quantum regime,Our research can laid theoretical foundations for the realization of optomechanical based single-photon source and macroscopic quantum effect of mechanical resonator in the room temperature.