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Europhysics Letters (EPL)

Generation of frequency entangled states via four-wave mixing in semiconductor well waveguide

Ji-Bing Liu, Anshou Zheng, Na Liu, Chuan-Jia Shan, Hong Li

Published Nov 1, 2013• 3 citations
Publisher

Abstract

We propose and analyze a scheme to realize a maximally frequency entangled state via four-wave mixing in semiconductor well waveguide. This scheme uses light hole transition to induce nonradiative quantum coherence in the waveguide. The results show that the transformation efficiency is perfect and the velocity of the entangled state is slow. By adjusting the intensity of strong controlling fields, the storing and retrieving process of the maximum entangled state can be achieved in our scheme.

DOI
10.1209/0295-5075/104/34006

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The time-dependent four-wave mixing (FWM) is analyzed in a four-level double semiconductor quantum well. The results show that both the amplitude and the conversion efficiency of the FWM field are enhanced with increasing the strength of two-photon Rabi frequency. Interestingly, when the one-photon detuning becomes stronger the control field corresponding to the maximum efficiency increases. Such a controlled enhanced FWM may be used to generate coherent short-wave length radiation, and it can have potential applications in quantum control and communications.
An analytical method based on four-wave mixing (FWM) is here developed to study the generation of entangled state in an asymmetric semiconductor double quantum well structure. It is found that the maximally entangled state of two beams (the probe and four-wave mixing beams) can be achieved in an appropriate condition. Moreover, we also show that the two entangled beams propagate with ultraslow group velocity in the semiconductor medium. This investigation can be used for achieving the entangled beams in the semiconductor solid-state medium, which is much more practical than that in an atomic medium because of its flexible design and the wide adjustable parameters.
The entanglement properties of two mode fields generated from four-wave mixing are discussed in the system of an ensemble of VVV-type three-level atoms embedded in a two-mode cavity, in which the atomic transitions from the two excited states to the ground state are driven by one strong and one relative weak laser field, respectively. The nondegenerate four-wave mixing process occurs in the strong laser-driven transition, which is also coupled by the two cavity modes. With the help of the auxiliary atomic transition driven by the weak laser field and adjusting the frequency difference of the two modes, highly squeezed and entangled light with high intensity can be generated.
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Abstract The time-dependent analysis of four-wave mixing based on resonant tunneling is investigated in an asymmetric semiconductor double quantum well structure. We analytically demonstrate that a highly efficient mixing wave is found to be induced by resonant tunneling in such a quantum well scheme with low-light pump wave intensities. Especially for small propagation distances, a significant enhancement of four-wave mixing conversion efficiency can be achieved. Such an interesting scheme could be used to generate coherent short-wavelength radiation in solid-state materials.