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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 20, Iss. 11 — Nov. 1, 2003
  • pp: 2368–2376

Quantum-jump statistical analysis of three-level systems with arbitrary coupling laser intensities and detunings

Jordi Mompart and Ramón Corbalán  »View Author Affiliations

JOSA B, Vol. 20, Issue 11, pp. 2368-2376 (2003)

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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

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)

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  24. Note that it is straightforward to use these Rij 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 Rab=Λ+γab and Rba=Λ with γab being the spontaneous emission rate from |a〉 to |b〉.
  25. As a general feature, dissipative processes associated with Rij with i≠j correspond to quantum jumps connecting different manifolds, while those associated with Rij with i=j yield a new coherent evolution period in the same manifold as the previous one; see Ref. 22.
  26. The mean change of the probe photon number per unit time relates to the mean change per period as 〈dNα/dt〉=〈ΔNα〉/T where T is the average time between two consecutive quantum jumps; see Eqs. (4.11) and (4.16) in Ref. 20.
  27. Note that as a result of the presence of dissipation, xij(τ), yij(τ)→0 in an exponential way, which guarantees the convergence of ∫0|cij(τ)|2dτ.

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