Paper
4 November 2010 The cumulants of bosonic quantum states
Li-zhen Jiang
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Abstract
We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce cumulants of quantum states as the measure of non-Gaussianity. The cumulants are calculated for Fock state, cat state, non-Gaussian state prepared by photon subtraction and phase damped state. The time evolution of non-Gaussianity is also studied. The third-order cumulant is a vector of length 4 and the fourth-order cumulant is a vector of length 5 for single mode quantum state.
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Li-zhen Jiang "The cumulants of bosonic quantum states", Proc. SPIE 7846, Quantum and Nonlinear Optics, 784612 (4 November 2010); https://doi.org/10.1117/12.870177
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KEYWORDS
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Nonlinear optics

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