Coherent mechanism of robust population inversion

doi:10.1364/OE.8.000238

Optics Express

Editor: J. H. Eberly
Vol. 8, Iss. 4 — Feb. 12, 2001
pp: 238–245

Coherent mechanism of robust population inversion

Jiri Vala and Ronnie Kosloff »View Author Affiliations

Optics Express, Vol. 8, Issue 4, pp. 238-245 (2001)
http://dx.doi.org/10.1364/OE.8.000238

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Abstract
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Abstract

A coherent mechanism of robust population inversion in atomic and molecular systems by a chirped field is presented. It is demonstrated that a field of sufficiently high chirp rate imposes a certain relative phase between a ground and excited state wavefunction of a two-level system. The value of the relative phase angle is thus restricted to be negative and close to 0 or -π for positive and negative chirp, respectively. This explains the unidirectionality of the population transfer from the ground to the excited state. In a molecular system composed of a ground and excited potential energy surface the symmetry between the action of a pulse with a large positive and negative chirp is broken. The same framwork of the coherent mechanism can explain the symmetry breaking and the population inversion due to a positive chirped field.

[Optical Society of America ]

OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(030.1670) Coherence and statistical optics : Coherent optical effects

ToC Category:
Research Papers

History
Original Manuscript: December 19, 2000
Published: February 12, 2001

Citation
Jiri Vala and Ronnie Kosloff, "Coherent mechanism of robust population inversion," Opt. Express 8, 238-245 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-4-238

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References

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms, (Dover Publications, Inc., New York, 1987).
Denise Sawicki and J. H. Eberly "Perfect following in the diabatic limit," Opt. Express, 4 217-222 (1999), http://www.opticsexpress.org/oearchive/source/9096.htm [CrossRef] [PubMed]
Y. B. Band and O. Magnes, "Chirped adiabatic passage with temporally delayed pulses," Phys. Rev. A 50, 584-594 (1994). [CrossRef] [PubMed]
J. Cao, C. J. Bardeen and K. R. Wilson, "Molecular pi Pulse for Total Inversion of Electronic State Population," Phys. Rev. Lett. 80, 1406-1409 (1998). [CrossRef]
J. Cao, C. J. Bardeen and K. R. Wilson, "Molecular pi pulses: Population inversion with positively chirped short pulses," J. Chem. Phys. 113, 1898-1909 (2000). [CrossRef]
R. Kosloff, A. D. Hammerich and D. Tannor, "Excitation without demolition: Radiative excitation of ground-surface vibration by impulsive stimulated Raman scattering with damage control," Phys. Rev. Lett. 69, 2172-2175 (1992). [CrossRef] [PubMed]
S. A. Rice and M. Zhao, Optical Control of Molecular Dynamics, (John Wiley and Sons, New York 2000).
R. Kosloff, Propagation Methods for Quantum Molecular Dynamics, Annu. Rev. Phys. Chem. 45, 145-178 (1994). [CrossRef]
R. Kosloff, Quantum Molecular Dynamics on Grids., in R. E. Wyatt and J. Z. Zhang, editor, Dynamics of Molecules and Chemical Reactions, pages 185-230, Marcel Dekker, (1996).
J. Vala, O. Dulieu, F. Masnou-Seeuws, P. Pillet and R. Kosloff, "Coherent control of cold-molecule formation through photoassociation using a chirped-pulsed-laser field," Phys. Rev. A 63, 013412 (2001). [CrossRef]
G. Ashkenazi, U. Banin, A. Bartana, R. Kosloff and S. Ruhman, "Quantum Description of the Impulsive Photodissociation Dynamics of I 3 in Solution," Adv. Chem Phys. 100, 229-315 (1997). [CrossRef]

Other

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms, (Dover Publications, Inc., New York, 1987).
Denise Sawicki and J. H. Eberly "Perfect following in the diabatic limit," Opt. Express, 4 217-222 (1999), http://www.opticsexpress.org/oearchive/source/9096.htm [CrossRef] [PubMed]
Y. B. Band and O. Magnes, "Chirped adiabatic passage with temporally delayed pulses," Phys. Rev. A 50, 584-594 (1994). [CrossRef] [PubMed]
J. Cao, C. J. Bardeen and K. R. Wilson, "Molecular pi Pulse for Total Inversion of Electronic State Population," Phys. Rev. Lett. 80, 1406-1409 (1998). [CrossRef]
J. Cao, C. J. Bardeen and K. R. Wilson, "Molecular pi pulses: Population inversion with positively chirped short pulses," J. Chem. Phys. 113, 1898-1909 (2000). [CrossRef]
R. Kosloff, A. D. Hammerich and D. Tannor, "Excitation without demolition: Radiative excitation of ground-surface vibration by impulsive stimulated Raman scattering with damage control," Phys. Rev. Lett. 69, 2172-2175 (1992). [CrossRef] [PubMed]
S. A. Rice and M. Zhao, Optical Control of Molecular Dynamics, (John Wiley and Sons, New York 2000).
R. Kosloff, Propagation Methods for Quantum Molecular Dynamics, Annu. Rev. Phys. Chem. 45, 145-178 (1994). [CrossRef]
R. Kosloff, Quantum Molecular Dynamics on Grids., in R. E. Wyatt and J. Z. Zhang, editor, Dynamics of Molecules and Chemical Reactions, pages 185-230, Marcel Dekker, (1996).
J. Vala, O. Dulieu, F. Masnou-Seeuws, P. Pillet and R. Kosloff, "Coherent control of cold-molecule formation through photoassociation using a chirped-pulsed-laser field," Phys. Rev. A 63, 013412 (2001). [CrossRef]
G. Ashkenazi, U. Banin, A. Bartana, R. Kosloff and S. Ruhman, "Quantum Description of the Impulsive Photodissociation Dynamics of I 3 in Solution," Adv. Chem Phys. 100, 229-315 (1997). [CrossRef]

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