Manipulation Of Photon And Phonon In Hybrid Solid State Systems

Compared with the natural atoms, solid quantum systems possess many advantages,including larger size, strong coupling, good scalability, and so on. The hybrid solid state systems can take advantage of each system to realize some complex tasks, thus we can utilize them to design new-type quantum devices. For example, the electromagnetically induced transparency(EIT) in a hybrid system of microcavity, two-level system, and mechanical resonator can be used to design single-photon or two-photon quantum switch;the interaction system between mechanical resonator, transmission line resonator and superconducting qubit can be considered as a quantum transducer, the qubit can be used to manipulate information interchange between mechanical mode and cavity field; the Parity-Time-symmetric cavity made up of two whispering-gallery microcavities can lead to the single direction transmission of photons, which can be considered as a photon diode, and so on. In this thesis, we mainly discuss hybrid systems formed by microcavity,superconducting qubit(or two-level system), and mechanical resonator. We mainly study the manipulation on photons and phonons in these systems.First, we studied a three-body system that a superconducting two-level system is coupled to the cavity field of optomechancial system, the qubit a?ects the transmission of the probe field in optomechanical systems. We found that the coupling strength between qubit and cavity field can a?ect the width and position of EIT window, this leads to the selective absorption of hybrid system to signals. The qubit also a?ects the nonclassical e?ect of the cavity field.We further studied a system that a two-level system is coupled to the mechanical mode of optomechanical system. The two-level system and phonon can form dressed state, this leads to the splitting of phonon energy level, then the two-color EIT window appears in hybrid system. We found that the two-color EIT window can be switched to one EIT window by changing the transition frequency of two-level system, and the distance between two EIT windows can be tuned by changing the coupling strength between phonon and two-level system. The two-level system also leads to the shift of photon energy levels and a?ects statistical properties of cavity field of optomechanical system, such as photon blockade, tunneling, antibunching e?ects.Both photons and phonons are bosonic particles, the phonon lasing has been attracting a lot of attention after the realization of optical lasers. We studied some important properties of phonon lasing in multi-mode optomechanical system, including threshold condition, stabilization, phase transition, and statistical properties. We found that there is an extra gain for phonon lasing(resulting from the unpair supermode operators) besides the gain contributed by the supermodes inversion. Di?erent from the common photon laser, the symmetry of phase transition can be destroyed in some parameter regimes for phonon lasing. We also found that the Hopf bifurcation appears in multi-mode optomechanical system for strong driving field, this leads to the resonant peak of second-order correlation function.In summary, in this thesis, we studied the manipulation of photons and phonons in three di?erent hybrid solid state systems. Our result can be used to design the singleor two-photon switch, single photon source, phonon lasing device. These have potential applications in quantum information processing and photonic integrated circuits.