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Structure of the harmonic oscillator in the space of n-particle Glauber correlators

López Carreño, J. C.
del Valle, E.
Laussy, Fabrice
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2017-06-27
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We 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.
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Zubizarreta, 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
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en
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0022-2488
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