Abstract

We theoretically characterize the performance of the pairwise correlations (PCs) from multiple quantum correlated beams based on the cascaded four-wave mixing (FWM) processes. The presence of the PCs with quantum corre- lation in these systems can be verified by calculating the degree of intensity difference squeezing for any pair of all the output fields. The quantum correlation characteristics of all the PCs under different cascaded schemes are also discussed in detail and the repulsion effect between PCs in these cascaded FWM processes is theoretically predicted. Our results open the way for the classification and application of quantum states generated from the cascaded FWM processes.

Highlights

  • Four-wave mixing (FWM) process in a hot rubidium (Rb) vapor9–24 has several advantages of practical implementations, e.g., no need of cavity due to strong nonlinearity of the system, natural spatial separation of the generated non-classical beams, etc

  • The signal beam is amplified as a2′ and a new beam called idler beam is generated as a1 on the other side of the pump beam at the same time

  • The input-output relation of the single four-wave mixing (FWM) scheme shown in Fig. 1(a) is given by a1 = G1 aν1 + G1 − 1 a†0, a2′ = G1 a0 + G1 − 1 aν†1, [1]

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Summary

Introduction

Four-wave mixing (FWM) process in a hot rubidium (Rb) vapor has several advantages of practical implementations, e.g., no need of cavity due to strong nonlinearity of the system, natural spatial separation of the generated non-classical beams, etc. Our group has experimentally demonstrated the generation of strong quantum correlation between the three bright beams from a cascaded FWM process. There doesn’t exist any quantum correlation between any two of the three beams, i. The dependence of the PCs on the system operating condition of the cascaded FWM processes is very interesting and worth studying. E., asymmetrical cascaded scheme and symmetrical cascaded scheme, we theoretically characterize the performance of the PCs of the multiple quantum correlated beams and analyze their dependences on the system intensity gains Gk (k = 1, 2). The theoretical predictions can give a rough estimation of the obtained experimental results

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