Hi all, I am trying to calculate the correlator between two different creation and annihilation operators on a many body system. The system is composed by two wires (left and right) and an energy level between them $\epsilon_{0}$. So we have the creation and annihilation operators on the wires, $c_{L,R}^{\dagger},c_{L,R}$, and the ones with the dot level $d^{\dagger}, d$. Then, how could I find out the correlator (equal time correlation):(adsbygoogle = window.adsbygoogle || []).push({});

\begin{eqnarray*}

\langle c_{L}^{\dagger}(x)d\rangle

\end{eqnarray*}

Any ideas?

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# Many body correlator

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