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Physical Review A

Storage and retrieval of Airy light wave packets in a coherent atomic system

Chao Hang, Zhengyang Bai, Guoxiang Huang

Published Aug 13, 2014• 14 citations
Publisher

Abstract

We propose a scheme to realize the storage and retrieval of Airy light wave packets in a $\ensuremath{\Lambda}$-type three-level atomic gas via electromagnetically induced transparency. We first show that (1 + 1)-dimensional Airy light wave packets with very slow propagating velocity and extremely low generation power can be stored and retrieved by switching off and on a control field. We then demonstrate that ultraslow and ultraweak (3 + 1)-dimensional light wave packets, by combining a spatial Bessel or Airy beam with an Airy temporal profile, can also be generated, stored, and retrieved in a controllable way. Because the Airy light wave packets obtained can withstand both diffraction and dispersion in a linear propagation regime, their storage and retrieval are more desirable and promising for quantum information processing in comparison with other types of light wave packets.

DOI
10.1103/physreva.90.023822

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We propose a scheme to realize the storage and retrieval of Airy light wave packets in a \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ-type three-level atomic gas via electromagnetically induced transparency. We first show that (1 + 1)-dimensional Airy light wave packets with very slow propagating velocity and extremely low generation power can be stored and retrieved by switching off and on a control field. We then demonstrate that ultraslow and ultraweak (3 + 1)-dimensional light wave packets, by combining a spatial Bessel or Airy beam with an Airy temporal profile, can also be generated, stored, and retrieved in a controllable way. Because the Airy light wave packets obtained can withstand both diffraction and dispersion in a linear propagation regime, their storage and retrieval are more desirable and promising for quantum information processing in comparison with other types of light wave packets.
We propose a scheme to generate (3+1)-dimensional slow-light Airy wave packets in a resonant $\ensuremath{\Lambda}$-type three-level atomic gas via electromagnetically induced transparency. We show that in the absence of dispersion the Airy wave packets formed by a probe field consist of two Airy wave packets accelerated in transverse directions and a longitudinal Gaussian pulse with a constant propagating velocity lowered to ${10}^{\ensuremath{-}5}c$ (ccc is the light speed in vacuum). We also show that in the presence of dispersion it is possible to generate another type of slow-light Airy wave packet consisting of two Airy beams in transverse directions and an Airy wave packet in the longitudinal direction. In this case, the longitudinal velocity of the Airy wave packet can be further reduced during propagation. Additionally, we further show that the transverse accelerations (or bending) of the both types of slow-light Airy wave packets can be completely eliminated and the motional trajectories of them can be actively manipulated and controlled by using a Stern-Gerlach gradient magnetic field.
We propose a scheme to obtain stable nonlinear optical pulses and realize their storage and retrieval in an ultracold ladder-type three-level atomic gas via electromagnetically induced transparency. Based on Maxwell-Bloch equations we derive a nonlinear equation governing the evolution of probe field envelope, and show that optical solitons with ultraslow propagating velocity and extremely low generation power can be created in the system. Furthermore, we demonstrate that such ultraslow optical solitons can be stored and retrieved by switching off and on a control field. Due to the balance between dispersion and nonlinearity, the ultraslow optical solitons are robust during propagation, and hence their storage and retrieval are more desirable than that of linear optical pulses. This raises the possibility of realizing the storage and retrieval of light and quantum information by using solitonic pulses.
We propose a scheme to realize the storage and retrieval of optical Peregrine solitons in a coherent atomic gas via electromagnetically induced transparency (EIT). We show that optical Peregrine solitons with very small propagation loss, ultraslow motional velocity, and extremely low generation power can be created in the system via EIT. We also show that such solitons can be stored, retrieved, split, and routed with high efficiency and fidelity through the manipulation of control laser fields. The results reported here are useful for the active control of optical Peregrine solitons and promising for applications in optical information processing and transmission.
Abstract The realization of quantum storage of spatial light field is of great significance to the construction of high-dimensional quantum repeater. In this paper, we experimentally realize the storage and retrieval of circular Airy beams (CABs) by using the Λ -type three-level energy system based on the electromagnetically induced transparency in a hot rubidium atomic vapor cell. The weak probe beam field is modulated with phase distribution of CABs by a spatial light modulator. We store the probe circular Airy beam (CAB) into the rubidium atomic vapor cell and retrieve it after the demanded delay. We quantitatively analyze the storage results and give corresponding theoretical explanations. Moreover, we investigate the autofocusing and self-healing effect of the retrieved CAB, which indicates that the properties and beam shape of CAB maintain well after storage. Our work will have potential applications in the storage of high-dimensional quantum information, and is also useful for improving the channel capacities of quantum internet.
A robust light storage and retrieval (LSR) in high dimensions is highly desirable for light and quantum information processing. However, most schemes on LSR realized up to now encounter problems due to not only dissipation, but also dispersion and diffraction, which make LSR with a very low fidelity. Here we propose a scheme to achieve a robust storage and retrieval of weak nonlinear high-dimensional light pulses in a coherent atomic gas via electromagnetically induced transparency. We show that it is available to produce stable (3 + 1)-dimensional light bullets and vortices, which have very attractive physical property and are suitable to obtain a robust LSR in high dimensions.