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Bulletin of the American Physical Society

Dynamical Evolution of Interacting Photon Pulses in Rydberg Medium

Bing He, Liu Shuan Yang, Jin‐Hui Wu, Zhaoyang Zhang, Min Xiao

Published May 25, 2016• 0 citations
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The understanding of dynamical evolutions of interacting photon pulses in Rydberg atomic ensemble is the prerequisite for realizing quantum devices with such system. We present an approach that efficiently simulates the dynamical processes, using a set of local functions we construct to reflect the profiles of narrowband pulses. For two counter-propagating photon pulses, our approach predicts the distinct phenomena from the widely concerned Rydberg blockade to the previously less noticed significant absorption in the anomalous dispersion regime, which can occur by respectively setting the pulse frequency to the appropriate values. Our numerical simulations also demonstrate how spatially extending photon pulses become deformed under realistic non-uniform interaction over their distributions.
Storing interacting photons in ensembles of highly excited Rydberg atoms makes it possible to realize photon-photon gates. The efficiency of stopping and retrieving pairs of single-photon pulses in any Rydberg medium is, however, significantly influenced by their mutual interaction. The corresponding dynamical process is rather complicated due to the interaction constantly changing with the relative positions of photon pulses and the associated dissipation. Applying the numerical calculations based on first principles, we reveal the detail of such a dynamical process by showing how the interacting pulses evolve in various situations. Other important issues, such as the use of nonadiabatic passage for stopping photons and the optimal way to regenerate photons, are also investigated.
Stopping and regenerating a pair of single-photon pulses at adjacent locations in coherently prepared Rydberg atomic ensembles are significantly affected by their effective interaction mediated by Rydberg excitations, and the similar processes can differ notably from the one exhibiting the common Rydberg blockade as with the stationary propagation of multi-photon light beams in the same medium. Based on the complete dynamics, we reveal the detailed features in such processes by finding how the profiles of the involved quantum fields evolve in various situations. The findings help to determine the proper regimes for implementing photonic gates and transistors. In addition, we discuss the non-adiabatic corrections associated with quickly changing control fields, and illustrate a method that restores the photon pulses' original amplitude during their retrieval unless they are heavily damped before storage.