Fig. 4: Correlation functions of elementary QPIC. | Communications Physics

Fig. 4: Correlation functions of elementary QPIC.

From: Integrated quantum polariton interferometry

Fig. 4

Behaviors of a the auto-correlation GAA(t,  Uk/J) and b the cross-correlation GAB(t,  Uk/J) as a function of the time spent within the hopping region of length l, and for different values of the ratio Uk/J. This time, t, is given in units of Tdip = π/(4J). The vertical dashed lines at t/Tdip = 1 identify the occurrence of the Hong-Ou-Mandel effect for Uk/J = 0. At such condition (as well as for t/Tdip = 2n + 1, with n being an integer, see Eq. (10)), the linear QPIC behaves as a 50:50 beam-splitter. As a consequence, the auto- and cross-correlation functions are at maximum and minimum values, respectively, i.e., GAA(t = Tdip,  Uk/J = 0) = 0.5 and GAB(t = Tdip,  Uk/J = 0) = 0.

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