Abstract

We propose to use the sensitivity of the population transfer in three-level L-atoms to the relative phases and amplitudes of frequency-chirped short bichromatic laser pulses for coherent, fast and robust storage and processing of phase or intensity optical information. The information is being written into the excited state population which in a second step is transferred in a fast and robust way into a nondecaying storage level. It is shown that an arbitrary superposition of the ground states can be generated by controlling the relative phase between the laser pulses.

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References

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  1. E. Arimondo and G. Orriols, "Nonabsorbing atomic coherences by coherent two-photon transitions in a three- level optical pumping," Nuovo Cimento Lett. 17, 333-338 (1976).
    [CrossRef]
  2. A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, and C. Cohen-Tannoudji, "Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping," Phys.Rev.Lett. 61, 826-829 (1988).
    [CrossRef] [PubMed]
  3. J. Lawall, and M. Prentiss, "Demonstration of a novel atomic beam splitter," Phys.Rev.Lett. 72, 993-996 (1994).
    [CrossRef] [PubMed]
  4. J. R. Kuklinski, U. Gaubatz, F. T. Hioe, and K. Bergmann, "Adiabatic population transfer in a three-level system driven by delayed laser pulses," Phys. Rev. A 40, 6741-6747 (1989).
    [CrossRef] [PubMed]
  5. M. O. Scully, "Enhancement of the index of refraction via quantum coherence," Phys.Rev.Lett. 67, 1855-58 (1991).
    [CrossRef] [PubMed]
  6. M. Weitz, B. C. Young, and S. Chu, "Atomic interferometer based on adiabatic population transfer," Phys. Rev. Lett. 73, 2563-2566 (1994).
    [CrossRef] [PubMed]
  7. P. Marte, P. Zoller, and J. L. Hall, "Coherent atomic mirrors and beam splitters by adiabatic passage in multilevel systems," Phys. Rev.A 44, R4118-R4121.
  8. R. Unanyan, M. Fleischhauer, B. W. Shore, K. Bergmann, "Robust creation and phase-sensitive probing of superposition states via stimulated Raman adiabatic passage (STIRAP) with degenerate dark states," Opt. Commun. 155, 144-154 (1998).
    [CrossRef]
  9. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
  10. D. Kosachev, B. Matisov and Yu. Rozhdestvensky, "Coherent population trapping: sensitivity of an atomic system to the relative phase of exciting fields," Opt. Commun. 85, 209-212 (1991).
    [CrossRef]
  11. N. V. Vitanov, "Analytic model of a three-state system driven by two laser pulses on two-photon resonance," J.Phys. B: At. Mol. Opt. Phys. 31, 709-725 (1998).
    [CrossRef]
  12. C. E. Caroll and F. T. Hioe, "Three-state model driven by two laser beams," Phys. Rev. A 36, 724-729 (1987).
    [CrossRef]
  13. G. P. Djotyan, J. S. Bakos, G. Demeter and Zs. S”rlei, "Theory of the adiabatic passage in two-level quantum systems with superpositional initial states," J. of Modern Opt. 44, 1511-1523 (1997).
    [CrossRef]

Other (13)

E. Arimondo and G. Orriols, "Nonabsorbing atomic coherences by coherent two-photon transitions in a three- level optical pumping," Nuovo Cimento Lett. 17, 333-338 (1976).
[CrossRef]

A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, and C. Cohen-Tannoudji, "Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping," Phys.Rev.Lett. 61, 826-829 (1988).
[CrossRef] [PubMed]

J. Lawall, and M. Prentiss, "Demonstration of a novel atomic beam splitter," Phys.Rev.Lett. 72, 993-996 (1994).
[CrossRef] [PubMed]

J. R. Kuklinski, U. Gaubatz, F. T. Hioe, and K. Bergmann, "Adiabatic population transfer in a three-level system driven by delayed laser pulses," Phys. Rev. A 40, 6741-6747 (1989).
[CrossRef] [PubMed]

M. O. Scully, "Enhancement of the index of refraction via quantum coherence," Phys.Rev.Lett. 67, 1855-58 (1991).
[CrossRef] [PubMed]

M. Weitz, B. C. Young, and S. Chu, "Atomic interferometer based on adiabatic population transfer," Phys. Rev. Lett. 73, 2563-2566 (1994).
[CrossRef] [PubMed]

P. Marte, P. Zoller, and J. L. Hall, "Coherent atomic mirrors and beam splitters by adiabatic passage in multilevel systems," Phys. Rev.A 44, R4118-R4121.

R. Unanyan, M. Fleischhauer, B. W. Shore, K. Bergmann, "Robust creation and phase-sensitive probing of superposition states via stimulated Raman adiabatic passage (STIRAP) with degenerate dark states," Opt. Commun. 155, 144-154 (1998).
[CrossRef]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).

D. Kosachev, B. Matisov and Yu. Rozhdestvensky, "Coherent population trapping: sensitivity of an atomic system to the relative phase of exciting fields," Opt. Commun. 85, 209-212 (1991).
[CrossRef]

N. V. Vitanov, "Analytic model of a three-state system driven by two laser pulses on two-photon resonance," J.Phys. B: At. Mol. Opt. Phys. 31, 709-725 (1998).
[CrossRef]

C. E. Caroll and F. T. Hioe, "Three-state model driven by two laser beams," Phys. Rev. A 36, 724-729 (1987).
[CrossRef]

G. P. Djotyan, J. S. Bakos, G. Demeter and Zs. S”rlei, "Theory of the adiabatic passage in two-level quantum systems with superpositional initial states," J. of Modern Opt. 44, 1511-1523 (1997).
[CrossRef]

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Figures (3)

Fig.1.
Fig.1.

The scheme of the atomic system.

Fig.2.
Fig.2.

Dependence of the excited state population n 2fin on the phase Φ in for different values of population n 1in of the ground state ∣1⟩: n 1in = 1 (1); .8 (2); .6 (3); .5 (4).

Fig.3.
Fig.3.

Time dependence of the populations for n 1in =.7,n 3in =.3 at: (a) Φ in =0, (b) Φ in =π and ∣Ω1∣ = ∣Ω2∣ = Ω. The parameters applied are: ΩτL = 5, β τL2 = 5 ; green-n 1(t), blue-n 3(t), red-n 2(t).

Equations (12)

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c 1 = Ω 1 * ( Ω 1 2 + Ω 2 2 ) a 1 ; c 3 = Ω 2 * ( Ω 1 2 + Ω 2 2 ) a 3 ; c 2 = a 2 exp [ i ε 21 ( t ) t ] ,
d dt C = i H ̂ C
H ̂ = f ( t ) ( 0 Ω 1 2 Ω 1 2 + Ω 2 2 0 Ω 1 2 + Ω 2 2 ε ( t ) f ( t ) Ω 1 2 + Ω 2 2 0 Ω 2 2 Ω 1 2 + Ω 2 2 0 ) ;
g + = ( Ω 1 * a 1 + Ω 1 * a 3 ) Ω 1 2 + Ω 2 2 = c 1 + c 3 ;
g ( ) = ( Ω 2 a 1 Ω 1 a 3 ) Ω 1 2 + Ω 2 2 = Ω 1 Ω 2 ( c 1 Ω 1 2 c 3 Ω 2 2 ) ,
d dt g ( + ) = iF ( t ) e ; d dt e ( t ) e = iF ( t ) g ( + ) ;
d dt g ( ) = 0 ,
g ( + ) fin = c 1 fin + c 2 fin = 0 ,
Ω 1 * a 1 fin = Ω 2 * a 3 fin
n 1 fin = n 3 fin ; and φ 1 fin φ 3 fin = Δ φ 13 fin = π + Δ Φ 12 ,
n 2 fin = 1 2 [ 1 + 2 n 1 in 1 n 1 in cos ( Δ ϕ 13 in + Δ Φ 12 ) ]
n 2 fin = 1 ( 1 + Ω 2 2 Ω 1 2 ) ,

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