Phase-space analysis of bosonic spontaneous emission. Olsen, M. K., Plimak, L. I., Rebić, S., & Bradley, A. S. Optics Communications, 254(4):271–281, October, 2005.
Phase-space analysis of bosonic spontaneous emission [link]Paper  doi  abstract   bibtex   
We present phase-space techniques for the modelling of spontaneous emission in two-level bosonic atoms. The positive-P representation is shown to give a full and complete description within the limits of our model. The Wigner representation, even when truncated at second order, is shown to need a doubling of the phase-space to allow for a positive-definite diffusion matrix in the appropriate Fokker–Planck equation and still fails to agree with the full quantum results of the positive-P representation. We show that quantum statistics and correlations between the ground and excited states affect the dynamics of the emission process, so that it is in general non-exponential.
@article{olsen_phase-space_2005,
	title = {Phase-space analysis of bosonic spontaneous emission},
	volume = {254},
	issn = {0030-4018},
	url = {http://www.sciencedirect.com/science/article/pii/S0030401805005547},
	doi = {10.1016/j.optcom.2005.06.006},
	abstract = {We present phase-space techniques for the modelling of spontaneous emission in two-level bosonic atoms. The positive-P representation is shown to give a full and complete description within the limits of our model. The Wigner representation, even when truncated at second order, is shown to need a doubling of the phase-space to allow for a positive-definite diffusion matrix in the appropriate Fokker–Planck equation and still fails to agree with the full quantum results of the positive-P representation. We show that quantum statistics and correlations between the ground and excited states affect the dynamics of the emission process, so that it is in general non-exponential.},
	language = {en},
	number = {4},
	urldate = {2020-05-25},
	journal = {Optics Communications},
	author = {Olsen, M. K. and Plimak, L. I. and Rebić, S. and Bradley, A. S.},
	month = oct,
	year = {2005},
	keywords = {Many-body effects, Phase-space representations, Spontaneous emission},
	pages = {271--281},
}
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