Coherence generation and population transfer by stimulated Raman adiabatic passage and π pulse in a four-level ladder system |
Optics Express, Vol. 19, Issue 13, pp. 12000-12007 (2011)
http://dx.doi.org/10.1364/OE.19.012000
Acrobat PDF (1361 KB)
Abstract
We propose a new scheme for achieving the complete population transfer and the optimal coherence generation between the ground state and the Rydberg state in a four-level ladder system by combining the STIRAP or fractional STIRAP technique and the π pulse technique. We consider, in particular, two different situations where spontaneous emission from the two highest states are neglected or not. Our numerical calculations show that the time width and the delay time of the π pulse are two critical parameters for attaining the maximal population transfer and coherence generation in this scheme.
© 2011 OSA
1. Introduction
1. H. R. Gray, R. M. Whitley, and C. R. Stroud Jr., “Coherent trapping of atomic populations,” Opt. Lett. 3, 218–220 (1978). [CrossRef] [PubMed]
2. K. J. Boller, A. Imamoğlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991). [CrossRef] [PubMed]
3. J.-Y. Gao, C. Guo, X.-Z. Guo, G.-X. Jin, Q.-W. Wang, J. Zhao, H.-Z. Zhang, Y. Jiang, D.-Z. Wang, and D.-M. Jiang, “Observation of light amplification without population inversion in sodium,” Opt. Commun. 93, 323–327 (1992). [CrossRef]
4. S.-Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996). [CrossRef] [PubMed]
5. D. J. Gauthier, Y.-F. Zhu, and T. W. Mossberg, “Observation of linewidth narrowing due to coherent stabilization of quantum fluctuations,” Phys. Rev. Lett. 66, 2460–2463 (1991). [CrossRef] [PubMed]
6. K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998). [CrossRef]
7. V. A. Sautenkov, C.-Y. Ye, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Enhancement of field generation via maximal atomic coherence prepared by fast adiabatic passage in Rb vapor,” Phys. Rev. A 70, 033406 (2004). [CrossRef]
8. Y.-P. Niu, S.-Q. Gong, R.-X. Li, and S.-Q. Jin, “Creation of atomic coherent superposition states via the technique of stimulated Raman adiabatic passage using a Λ-type system with a manifold of levels,” Phys. Rev. A 70, 023805 (2004). [CrossRef]
9. F. Vewinger, M. Heinz, R. G. Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantun states,” Phys. Rev. Lett. 91, 213001 (2003). [CrossRef] [PubMed]
10. R. G. Unanyan, M. Fleischhauer, B. W. Shore, and 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]
11. R. G. Unanyan, B. W. Shore, and K. Bergmann, “Laser-driven population transfer in four-level atoms: consequences of non-Abelian geometrical adiabatic phase factors,” Phys. Rev. A 59, 2910–2919 (1999). [CrossRef]
12. H. Theuer, R. G. Unanyan, C. Habscheid, K. Klein, and K. Bergmann, “Novel laser controlled variable matter wave beamsplitter,” Opt. Express 4, 77–83 (1999). [CrossRef] [PubMed]
13. H. Goto and K. Ichimura, “Observation of coherent population transfer in a four-level tripod system with a rare-earth-metal-ion-doped crystal,” Phys. Rev. A 75, 033404 (2007). [CrossRef]
14. M. Saffman and T. G. Walker, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82, 2313–2363 (2010). [CrossRef]
15. N. Sangouard, L. P. Yatsenko, B. W. Shore, and T. Halfmann, “Preparation of nondegenerate coherent superpositions in a three-state ladder system assisted by Stark shifts,” Phys. Rev. A 73, 043415 (2006). [CrossRef]
16. H. A. Camp, M. H. Shah, M. L. Trachy, O. L. Weaver, and B. D. DePaola, “Numerical exploration of coherent excitation in three-level systems,” Phys. Rev. A 71, 053401 (2005). [CrossRef]
17. R. G. Fernandez, A. Ekers, L. P. Yatsenko, N. V. Vitanov, and K. Bergmann, “Control of population flow in coherently driven quantum ladders,” Phys. Rev. Lett. 95, 043001 (2005). [CrossRef]
2. Theoretical model and equations
3. Numerical results and discussions
3.1. Population transfer
3.2. Coherence generation
4. Conclusions
18. H. Schempp, G. Gunter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. DePaola, T. Amthor, and M. Weidemuller, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104, 173602 (2010). [CrossRef] [PubMed]
Acknowledgments
References and links
1. | H. R. Gray, R. M. Whitley, and C. R. Stroud Jr., “Coherent trapping of atomic populations,” Opt. Lett. 3, 218–220 (1978). [CrossRef] [PubMed] |
2. | K. J. Boller, A. Imamoğlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991). [CrossRef] [PubMed] |
3. | J.-Y. Gao, C. Guo, X.-Z. Guo, G.-X. Jin, Q.-W. Wang, J. Zhao, H.-Z. Zhang, Y. Jiang, D.-Z. Wang, and D.-M. Jiang, “Observation of light amplification without population inversion in sodium,” Opt. Commun. 93, 323–327 (1992). [CrossRef] |
4. | S.-Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996). [CrossRef] [PubMed] |
5. | D. J. Gauthier, Y.-F. Zhu, and T. W. Mossberg, “Observation of linewidth narrowing due to coherent stabilization of quantum fluctuations,” Phys. Rev. Lett. 66, 2460–2463 (1991). [CrossRef] [PubMed] |
6. | K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998). [CrossRef] |
7. | V. A. Sautenkov, C.-Y. Ye, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Enhancement of field generation via maximal atomic coherence prepared by fast adiabatic passage in Rb vapor,” Phys. Rev. A 70, 033406 (2004). [CrossRef] |
8. | Y.-P. Niu, S.-Q. Gong, R.-X. Li, and S.-Q. Jin, “Creation of atomic coherent superposition states via the technique of stimulated Raman adiabatic passage using a Λ-type system with a manifold of levels,” Phys. Rev. A 70, 023805 (2004). [CrossRef] |
9. | F. Vewinger, M. Heinz, R. G. Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantun states,” Phys. Rev. Lett. 91, 213001 (2003). [CrossRef] [PubMed] |
10. | R. G. Unanyan, M. Fleischhauer, B. W. Shore, and 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] |
11. | R. G. Unanyan, B. W. Shore, and K. Bergmann, “Laser-driven population transfer in four-level atoms: consequences of non-Abelian geometrical adiabatic phase factors,” Phys. Rev. A 59, 2910–2919 (1999). [CrossRef] |
12. | H. Theuer, R. G. Unanyan, C. Habscheid, K. Klein, and K. Bergmann, “Novel laser controlled variable matter wave beamsplitter,” Opt. Express 4, 77–83 (1999). [CrossRef] [PubMed] |
13. | H. Goto and K. Ichimura, “Observation of coherent population transfer in a four-level tripod system with a rare-earth-metal-ion-doped crystal,” Phys. Rev. A 75, 033404 (2007). [CrossRef] |
14. | M. Saffman and T. G. Walker, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82, 2313–2363 (2010). [CrossRef] |
15. | N. Sangouard, L. P. Yatsenko, B. W. Shore, and T. Halfmann, “Preparation of nondegenerate coherent superpositions in a three-state ladder system assisted by Stark shifts,” Phys. Rev. A 73, 043415 (2006). [CrossRef] |
16. | H. A. Camp, M. H. Shah, M. L. Trachy, O. L. Weaver, and B. D. DePaola, “Numerical exploration of coherent excitation in three-level systems,” Phys. Rev. A 71, 053401 (2005). [CrossRef] |
17. | R. G. Fernandez, A. Ekers, L. P. Yatsenko, N. V. Vitanov, and K. Bergmann, “Control of population flow in coherently driven quantum ladders,” Phys. Rev. Lett. 95, 043001 (2005). [CrossRef] |
18. | H. Schempp, G. Gunter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. DePaola, T. Amthor, and M. Weidemuller, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104, 173602 (2010). [CrossRef] [PubMed] |
OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(270.0270) Quantum optics : Quantum optics
ToC Category:
Nonlinear Optics
History
Original Manuscript: March 30, 2011
Revised Manuscript: May 19, 2011
Manuscript Accepted: May 20, 2011
Published: June 6, 2011
Citation
Bing Zhang, Jin-Hui Wu, Xi-Zhang Yan, Lei Wang, Xiao-Jun Zhang, and Jin-Yue Gao, "Coherence generation and population transfer by stimulated Raman adiabatic passage and π pulse in a four-level ladder system," Opt. Express 19, 12000-12007 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-13-12000
Sort: Year | Journal | Reset
References
- H. R. Gray, R. M. Whitley, and C. R. Stroud, “Coherent trapping of atomic populations,” Opt. Lett. 3, 218–220 (1978). [CrossRef] [PubMed]
- K. J. Boller, A. Imamoğlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991). [CrossRef] [PubMed]
- J.-Y. Gao, C. Guo, X.-Z. Guo, G.-X. Jin, Q.-W. Wang, J. Zhao, H.-Z. Zhang, Y. Jiang, D.-Z. Wang, and D.-M. Jiang, “Observation of light amplification without population inversion in sodium,” Opt. Commun. 93, 323–327 (1992). [CrossRef]
- S.-Y. Zhu and M. O. Scully, “Spectral line elimination and spontaneous emission cancellation via quantum interference,” Phys. Rev. Lett. 76, 388–391 (1996). [CrossRef] [PubMed]
- D. J. Gauthier, Y.-F. Zhu, and T. W. Mossberg, “Observation of linewidth narrowing due to coherent stabilization of quantum fluctuations,” Phys. Rev. Lett. 66, 2460–2463 (1991). [CrossRef] [PubMed]
- K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998). [CrossRef]
- V. A. Sautenkov, C.-Y. Ye, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Enhancement of field generation via maximal atomic coherence prepared by fast adiabatic passage in Rb vapor,” Phys. Rev. A 70, 033406 (2004). [CrossRef]
- Y.-P. Niu, S.-Q. Gong, R.-X. Li, and S.-Q. Jin, “Creation of atomic coherent superposition states via the technique of stimulated Raman adiabatic passage using a Λ-type system with a manifold of levels,” Phys. Rev. A 70, 023805 (2004). [CrossRef]
- F. Vewinger, M. Heinz, R. G. Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantun states,” Phys. Rev. Lett. 91, 213001 (2003). [CrossRef] [PubMed]
- R. G. Unanyan, M. Fleischhauer, B. W. Shore, and 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]
- R. G. Unanyan, B. W. Shore, and K. Bergmann, “Laser-driven population transfer in four-level atoms: consequences of non-Abelian geometrical adiabatic phase factors,” Phys. Rev. A 59, 2910–2919 (1999). [CrossRef]
- H. Theuer, R. G. Unanyan, C. Habscheid, K. Klein, and K. Bergmann, “Novel laser controlled variable matter wave beamsplitter,” Opt. Express 4, 77–83 (1999). [CrossRef] [PubMed]
- H. Goto and K. Ichimura, “Observation of coherent population transfer in a four-level tripod system with a rare-earth-metal-ion-doped crystal,” Phys. Rev. A 75, 033404 (2007). [CrossRef]
- M. Saffman and T. G. Walker, “Quantum information with Rydberg atoms,” Rev. Mod. Phys. 82, 2313–2363 (2010). [CrossRef]
- N. Sangouard, L. P. Yatsenko, B. W. Shore, and T. Halfmann, “Preparation of nondegenerate coherent superpositions in a three-state ladder system assisted by Stark shifts,” Phys. Rev. A 73, 043415 (2006). [CrossRef]
- H. A. Camp, M. H. Shah, M. L. Trachy, O. L. Weaver, and B. D. DePaola, “Numerical exploration of coherent excitation in three-level systems,” Phys. Rev. A 71, 053401 (2005). [CrossRef]
- R. G. Fernandez, A. Ekers, L. P. Yatsenko, N. V. Vitanov, and K. Bergmann, “Control of population flow in coherently driven quantum ladders,” Phys. Rev. Lett. 95, 043001 (2005). [CrossRef]
- H. Schempp, G. Gunter, C. S. Hofmann, C. Giese, S. D. Saliba, B. D. DePaola, T. Amthor, and M. Weidemuller, “Coherent population trapping with controlled interparticle interactions,” Phys. Rev. Lett. 104, 173602 (2010). [CrossRef] [PubMed]
Cited By |
Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
« Previous Article | Next Article »
OSA is a member of CrossRef.