Quantum-jump statistical analysis of three-level systems with arbitrary coupling laser intensities and detunings
JOSA B, Vol. 20, Issue 11, pp. 2368-2376 (2003)
http://dx.doi.org/10.1364/JOSAB.20.002368
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Abstract
We develop the quantum-jump statistical tools required to analyze the probe response in three-level systems where the probe and driving lasers have arbitrary intensities and detunings. We apply these tools to investigate the appearance of two inversionless amplification sidebands in the probe spectrum as the driving laser intensity increases.
© 2003 Optical Society of America
OCIS Codes
(270.1670) Quantum optics : Coherent optical effects
(270.3430) Quantum optics : Laser theory
(270.4180) Quantum optics : Multiphoton processes
Citation
Jordi Mompart and Ramón Corbalán, "Quantum-jump statistical analysis of three-level systems with arbitrary coupling laser intensities and detunings," J. Opt. Soc. Am. B 20, 2368-2376 (2003)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-11-2368
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References
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- Note that it is straightforward to use these R_{ij} with i≠j to describe bidirectional pumping. For instance, let us denote by Λ the rate of a bidirectional pumping process coupled to transition |a〉–|b〉; then R_{ab}=Λ+γ_{ab} and R_{ba}=Λ with γ_{ab} being the spontaneous emission rate from |a〉 to |b〉.
- As a general feature, dissipative processes associated with R_{ij} with i≠j correspond to quantum jumps connecting different manifolds, while those associated with R_{ij} with i=j yield a new coherent evolution period in the same manifold as the previous one; see Ref. 22.
- The mean change of the probe photon number per unit time relates to the mean change per period as 〈dN_{α}/dt〉=〈ΔN_{α}〉/T where T is the average time between two consecutive quantum jumps; see Eqs. (4.11) and (4.16) in Ref. 20.
- Note that as a result of the presence of dissipation, x_{ij}(τ), y_{ij}(τ)→0 in an exponential way, which guarantees the convergence of ∫_{0}^{∞}|c_{ij}(τ)|^{2}dτ.
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