Nonlinear quantum optics assisted by atomic motion

Ullrich Martini, Christian Wagner, Axel Schenzle

Sigurd Dyrting, Wenyu Chen, Gerard J Milburn

Sigurd Dyrting, Gerard J Milburn

It is proposed that the atomic optical system of an ytterbium atom in a time-dependent optical standing wave be used to experimentally observe quantum nonlinear motion and, in particular, predict the quantum behavior of a system whose classical analog ranges from completely integrable, to near integrable, and finally to globally chaotic motion. We extend previous treatments to include spontaneous emission. From the study of theoretical models of dissipative quantum nonlinear motion, it is known that even small amounts of dissipation can significantly alter the quantum dynamics through the destruction of coherences. In this paper we present some theoretical and numerical results of the effect of spontaneous emission on nonlinear nonintegrable dynamics in atomic optics. When spontaneous emission is included, we show that the nature of the light-atom interaction introduces interesting features not usually investigated in models of dissipative quantum nonlinear dynamics. These include a potential that depends on the atom's internal state, a band structure, and a time-dependent dissipative process.

Subhadeep Gupta, Kevin L. Moore, Kater W. Murch +1 more

We report on nonlinear optical phenomena from collective motion of ultracold atoms within a strong-coupling cavity. The nonlinearity arises from probe-induced atom displacement. Longevity of motional coherence allows nonlinearity at extremely low cavity photon numbers.

S. L. Rolston, William D. Phillips

Lin Dong, Chuanzhou Zhu, Han Pu

We consider an atom inside a ring cavity, where a plane-wave cavity field together with an external coherent laser beam induces a two-photon Raman transition between two hyperfine ground states of the atom. This cavity-assisted Raman transition induces effective coupling between atom’s internal degrees of freedom and its center-of-mass motion. In the meantime, atomic dynamics exerts a back-action to cavity photons. We investigate the properties of this system by adopting a mean-field and a full quantum approach, and show that the interplay between the atomic dynamics and the cavity field gives rise to intriguing nonlinear phenomena.