Abstract. The fidelity of multimode cavity-assisted quantum storage based on control-field angular scanning is analysed as a function of an input pulse temporal shape, direction of propagation of the control field and spatial structure of the signal field. It is shown by numerical simulation that available range of the angular scanning is reduced with increasing the transverse mode index of the field to be stored. Outside of this range, the output field may contain contributions from undesirable transverse modes due to the cross-talk, which results in reducing efficiency and fidelity.
IntroductionIn recent years much effort has been directed toward the implementation of quantum memories for light (see the reviews [1][2][3][4]). In particular, storage and retrieval of single photons is expected to be necessary for scalable linear-optical quantum computers, efficient quantum repeaters and deterministic single-photon sources. To store and recall optical pulses, such as single-photon wave packets, one can take advantage of an inhomogeneous broadened atomic transition (storage via photon echo) or can use a modulated control field amplitude which matches an input pulse (storage via electromagnetically induced transparency or off-resonant Raman interaction). Recently, another approach has been proposed [5][6][7] which requires neither inhomogeneous broadening nor temporal modulation of the control field amplitude, but resorts to continuous phase-matching control in an extended resonant medium. When considering off-resonant Raman interaction of a single-photon wave packet and a classical control field in a three-level atomic medium, the phase-matching control can be achieved by modulating the refractive index of the resonant medium [5] or by modulating the direction of propagation of the control field [6,7]. In particular, a scheme for spatially multimode cavity-assisted quantum storage has been developed in [7]. The angular scanning does not require a direct control of atomic levels and may be realized in materials that do not allow linear Stark or Zeeman effects, while enclosing an atomic ensemble in a cavity makes it possible to achieve high efficiency of quantum storage with optically thin materials and realize the proposed scheme, e.g., in rare-earth-ion-doped crystals. Regarding spatially multimode storage, it is of importance for multiplexing in quantum repeaters and holographic quantum computers.