Generation of motional entangled coherent state in an optomechanical system in the single photon strong coupling regime

Abstract

The single-photon strong coupling in the deep-resolved sideband of the optomechanical system induces photon blockade (PB) effect. For the PB cavity, an initial mechanical coherent state evolves into superposition of phonon cat states entangled with the cavity Fock states. Measurement of the cavity photon number states produces phonon even and odd cat states. The information leakage effect of two photon states on the fidelity of cat states is calculated, it is shown that for low average phonon number this effect is negligible and decreases by increasing the two photon cavity state. The Lindblad equation is solved numerically to obtain the environmental effects on the fidelity of cat states.

Generation of Schrödinger Cat States in a Hybrid Cavity Optomechanical System

“…The transformed Hamiltonian becomes where is the detuning between the cavity frequency and the atomic-transition frequency . Then we introduce another unitary operator to transform the Hamiltonian into where can be regarded as the Lamb–Dicke parameter, which is similar to the analysis in trapped ions [ 53 , 54 ]. The parameter characterizes the nonlinearity of the cavity field induced by the mechanical oscillator.…”

Cavity optomechanics: Manipulating photons and phonons towards the single-photon strong coupling

“…This is also required when other nonclassical states (e.g., NOON state) are engineered in optomechanical systems. [189][190][191][192][193][194][195][196][197][198][199][200] There are many studies for fundamental physics under the strong coupling condition, including, e.g., the observations of phonon number jump [201][202][203] and phononphonon Josephson effect. [204,205] Motivated by the importance of strong coupling for the single-photon optomechanics, great efforts have been made to achieve strong optomechanical coupling.…”