1996
DOI: 10.1103/physreva.54.794
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Propagation of laser pulses and coherent population transfer in dissipative three-level systems: An adiabatic dressed-state picture

Abstract: The interaction of a pair of copropagating pulses with three-level ⌳-type atoms is discussed in terms of time-dependent coupled and decoupled superpositions ͉Ϯ͘ of the lower levels. Due to the explicit time dependence of these states there is a nonadiabatic coupling between the ''bright'' state ͉ϩ͘ and the ''dark'' state ͉Ϫ͘ in addition to the strong coupling between ͉ϩ͘ and the upper level ͉a͘. We show that under quasiadiabatic conditions and in the presence of decay from the upper level this coupling can be … Show more

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Cited by 137 publications
(100 citation statements)
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“…This will be the case provided the probe field is turned on and off adiabatically as compared with |B − |D energy splitting, which is equal to the Stark shift ∆ S =Ω 2 /∆ of |B . In the limit Ω c ≫ Ω, which we will assume from now on, the non-adiabatic coupling between |D and |B has an effective Rabi frequency Ω N A ∼ Ω/(T Ω c ) [19] giving population loss from the dark state into the bright state of order ρ B ∼ (Ω N A /∆ S ) 2 ∼ (Ω/Ω c ) 6 and hence an error of the same order. The errors due to the Stark shift Ω 2 N A /∆ S of |D and due to spontaneous emission are smaller than (Ω/Ω c ) 6 and γ/∆, respectively.…”
mentioning
confidence: 99%
“…This will be the case provided the probe field is turned on and off adiabatically as compared with |B − |D energy splitting, which is equal to the Stark shift ∆ S =Ω 2 /∆ of |B . In the limit Ω c ≫ Ω, which we will assume from now on, the non-adiabatic coupling between |D and |B has an effective Rabi frequency Ω N A ∼ Ω/(T Ω c ) [19] giving population loss from the dark state into the bright state of order ρ B ∼ (Ω N A /∆ S ) 2 ∼ (Ω/Ω c ) 6 and hence an error of the same order. The errors due to the Stark shift Ω 2 N A /∆ S of |D and due to spontaneous emission are smaller than (Ω/Ω c ) 6 and γ/∆, respectively.…”
mentioning
confidence: 99%
“…(17), in order to have H 1 (t) 12 and H 1 (t) 23 identically zero, the super-adiabatic Hamiltonian of Eq. (12) for the Ladder system becomes…”
mentioning
confidence: 99%
“…The presence of the factor √ ηkL instead of unity in (12), where α = ηkL is the opacity of the medium in the absence of EIT, is due to the fact that propagation effects need to be taken into account [2,13,14].…”
Section: E(zt)mentioning
confidence: 99%
“…The second condition is well-known from adiabatic passage [13,18] and sets a limit to the rotation velocityθ of the mixing angle and hence to the deceleration/acceleration of the polariton. In order to stay in the adiabatic regime at all times the characteristic time scale T has to fulfill the condition…”
mentioning
confidence: 99%