Structure of the harmonic oscillator in the space of n-particle Glauber correlators
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AbstractWe map the Hilbert space of the quantum harmonic oscillator to the space of Glauber’s nth-order intensity correlators, in effect showing “the correlations between the correlators” for a random sampling of the quantum states. In particular, we show how the popular g(2) function is correlated to the mean population and how a recurrent criterion to identify single-particle states or emitters, namely, g(2)<1/2g(2)<1/2, actually identifies states with at most two particles on average. Our charting of the Hilbert space allows us to capture its structure in a simpler and physically more intuitive way that can be used to classify quantum sources by surveying which territory they can access.
CitationZubizarreta, CE., López Carreño, J. C., del Valle, E., Laussy, F. (2017) 'Structure of the harmonic oscillator in the space of n-particle Glauber correlators', Journal of Mathematical Physics, 58 (6) 062109
JournalJournal of Mathematical Physics
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