Phase-space analysis of bosonic spontaneous emission

M. K. Olsen; L. I. Plimak; S. Rebić; A. S. Bradley

doi:10.1016/j.optcom.2005.06.006

Phase-space analysis of bosonic spontaneous emission

M. K. Olsen^*, L. I. Plimak, S. Rebić, A. S. Bradley

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	271-281
Number of pages	11
Journal	Optics Communications
Volume	254
Issue number	4-6
DOIs	https://doi.org/10.1016/j.optcom.2005.06.006
Publication status	Published - 15 Oct 2005

Keywords

Many-body effects
Phase-space representations
Spontaneous emission

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10.1016/j.optcom.2005.06.006

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title = "Phase-space analysis of bosonic spontaneous emission",

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.",

keywords = "Many-body effects, Phase-space representations, Spontaneous emission",

author = "Olsen, {M. K.} and Plimak, {L. I.} and S. Rebi{\'c} and Bradley, {A. S.}",

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T1 - Phase-space analysis of bosonic spontaneous emission

AU - Olsen, M. K.

AU - Plimak, L. I.

AU - Rebić, S.

AU - Bradley, A. S.

PY - 2005/10/15

Y1 - 2005/10/15

N2 - 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.

AB - 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.

KW - Many-body effects

KW - Phase-space representations

KW - Spontaneous emission

UR - http://www.scopus.com/inward/record.url?scp=25144438945&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2005.06.006

DO - 10.1016/j.optcom.2005.06.006

M3 - Article

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SN - 0030-4018

VL - 254

SP - 271

EP - 281

JO - Optics Communications

JF - Optics Communications

IS - 4-6

ER -

Phase-space analysis of bosonic spontaneous emission

Abstract

Keywords

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