Perspectives for quantum state engineering via high nonlinearity in a double-EIT regime

Abstract

We analyse the possibilities for quantum state engineering offered by a model for Kerr-type nonlinearity enhanced by electromagnetically induced transparency (EIT), which was recently proposed by Petrosyan and Kurizki [Phys. Rev. A 65, 33833 (2002)]. We go beyond the semiclassical treatment and derive a quantum version of the model with both a full Hamiltonian approach and an analysis in terms of dressed states. The preparation of an entangled coherent state via a crossphase modulation effect is demonstrated. We briefly show that the violation of locality for such an entangled coherent state is robust against low detection efficiency. Finally, we investigate the possibility of a bi-chromatic photon blockade realized via the interaction of a low density beam of atoms with a bi-modal electromagnetic cavity which is externally driven. We show the effectiveness of the blockade effect even when more than a single atom is inside the cavity. The possibility to control two different cavity modes allows some insights into the generation of an entangled state of cavity modes.

Multiphoton quantum optics and quantum state engineering

“…For example, in Ref. [452] the generation of entangled coherent states via the cross-phasemodulation effect has been carefully analyzed.…”

Stopped Light with Storage Times Greater than One Second Using Electromagnetically Induced Transparency in a Solid

“…It has been proposed that both the required control and strong coupling can be readily achieved using an ensemble approach, where the light field interacts with a large number of identical atoms. Such ensemble based approaches now exist for single photon sources [4], ''cat'' state sources [5], quantum memories [6][7][8], and quantum repeaters [4]. Experiments have demonstrated heralded single photon sources [9,10] and the mapping of quantum information on a light field onto spin states of an atomic ensemble [11].…”