Abstract

Two-mode squeezed states have potential applications in quantum teleportation, quantum computation, and quantum information. Spontaneous parametric down conversion (SPDC) is one of the processes that can be used to generate two-mode squeezed optical states, both in bulk and integrated systems. In this work, we theoretically model SPDC in a vertically-pumped, lossy, coupled-resonator optical waveguide (CROW), shown in Fig. 1(a), to generate counterpropagating continuous variable (CV) entangled states. For a CROW in which the cavities are identical, using the nearest neighbour TB approximation, the CROW mode dispersion is given by ${\tilde{\omega }}_{Fk}\approx {\tilde{\omega }}_F\left[1-{\tilde{\beta }}_1\cos \left(kD\right)\right]\equiv {\omega }_{Fk}-i{\gamma }_{Fk}$ where ${\tilde{\omega }}_F$ is the individual-cavity complex mode frequency,${\tilde{\beta }}_1$ is the complex coupling parameter, D is the periodicity of the CROW, and k is the Bloch vector.

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