Quantum correlations between spins and motion in cavity optomechanics

Francesco Rosati

The project addresses theoretically the coupling between spin and motional degrees of freedom in cavities and the resulting correlations. It aims at developing a systematic description of the coupled dynamics between the spin and the motion of thermal and ultracold atoms inside of resonators, for the purpose of characterizing the stationary phases and the dynamics induced by long-range optomechanical interactions and to explore perspectives for quantum memories.

Objectives: 1. Theoretical description of stationary correlated states of spin and motion of atoms in resonators. 2. Characterization of the corresponding features of the emitted light. 3. Explore local and nonlocal correlations in the ultra-cold regime. 4. Extend to the case
of atoms in free space in front of a mirror.
Expected Results: 1. Characterization of self-organization of spins and motion of laser cooled and ultracold atoms in a multimode cavity. 2. Characterization of self-organization of spins and motion of laser cooled atoms in free space geometries. 3. Characterization
of stationary quantum correlations and their applications for quantum memories.
Planned secondment(s: 1. DFKI 2. ETHZ, 3. USTRAT