Higher order coherence of exciton-polariton condensates
Tomoyuki Horikiri, Paolo Schwendimann, Antonio Quattropani, Sven, Hofling, Alfred Forchel, Yoshihisa Yamamoto

TL;DR
This study measures higher order coherence functions of exciton-polariton condensates, revealing non-ideal bunching behavior that differs from thermal or laser states, and aligns with a model involving polariton interactions.
Contribution
It provides the first detailed experimental measurement of third order coherence in exciton-polariton condensates and compares it with a theoretical model including interactions.
Findings
Observed deviation from unity in $g^{(2)}(0)$ and $g^{(3)}(0)$ indicating bunching.
Found $g^{(3)}(0) > g^{(2)}(0) > 1$, showing non-coherent, non-thermal behavior.
Experimental results agree with a model including polariton-polariton and polariton-phonon interactions.
Abstract
The second and third order coherence functions of an exciton-polariton condensate is measured and compared to the theory. Contrary to an ideal photon laser, deviation from unity in the second and third order coherence functions is observed, thus showing a bunching effect, but not the characteristics of a standard thermal state with . The increase of bunching with the order of the coherence function, , indicates that the polariton condensate is different from coherent state, number state and thermal state. The experimental results are in agreement with the theoretical model where polariton-polariton and polariton-phonon interactions are responsible for the loss of temporal coherence.
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