## Enhanced cross-Kerr nonlinearity via electromagnetically induced transparency in a four-level tripod atomic system

JOSA B, Vol. 26, Issue 7, pp. 1423-1434 (2009)

http://dx.doi.org/10.1364/JOSAB.26.001423

Enhanced HTML Acrobat PDF (826 KB)

### Abstract

We investigate, both theoretically and experimentally, the cross-Kerr nonlinearity generated in a four-level tripod system in the

© 2009 Optical Society of America

**OCIS Codes**

(020.1670) Atomic and molecular physics : Coherent optical effects

(030.1640) Coherence and statistical optics : Coherence

(190.3270) Nonlinear optics : Kerr effect

(270.1670) Quantum optics : Coherent optical effects

(300.6260) Spectroscopy : Spectroscopy, diode lasers

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: February 10, 2009

Revised Manuscript: April 24, 2009

Manuscript Accepted: April 27, 2009

Published: June 24, 2009

**Citation**

Xudong Yang, Shujing Li, Chunhong Zhang, and Hai Wang, "Enhanced cross-Kerr nonlinearity via electromagnetically induced transparency in a four-level tripod atomic system," J. Opt. Soc. Am. B **26**, 1423-1434 (2009)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-7-1423

Sort: Year | Journal | Reset

### References

- S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36-42 (1997). [CrossRef]
- K. L. Boller, A. Imamoglu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593-2596 (1991). [CrossRef] [PubMed]
- J. E. Field, K. H. Hahn, and S. E. Harris, “Observation of electromagnetically induced transparency in collisionally broadened lead vapor,” Phys. Rev. Lett. 67, 3062-3065 (1991). [CrossRef] [PubMed]
- J. Gea-Banacloche, Y. Li, S. Jin, and M. Xiao, “Electromagnetically induced transparency in ladder-type inhomogeneously broadened media: theory and experiment,” Phys. Rev. A 51, 576-584 (1995). [CrossRef] [PubMed]
- Y. Li and M. Xiao, “Electromagnetically induced transparency in a three-level Λ-type system in rubidium atoms,” Phys. Rev. A 51, R2703-R2706 (1995). [CrossRef] [PubMed]
- A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995). [CrossRef] [PubMed]
- M. M. Kash, V. A. Sautenkov, A. S. Zibrov, L. Hollberg, G. R. Welch, M. D. Lukin, Y. Rostovtsev, E. S. Fry, and M. O. Scully, “Ultraslow group velocity and enhanced nonlinear optical effects in a coherently driven hot atomic gas,” Phys. Rev. Lett. 82, 5229-5232 (1999). [CrossRef]
- D. Budker, D. F. Kimball, S. M. Rochester, and V. V. Yashchuk, “Nonlinear magneto-optics and reduced group velocity of light in atomic vapor with slow ground state relaxation,” Phys. Rev. Lett. 83, 1767-1770 (1999). [CrossRef]
- L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 meterspersecond in an ultracold atomic gas,” Nature 397, 594-598 (1999). [CrossRef]
- D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783-786 (2001). [CrossRef] [PubMed]
- A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, “Strongly interacting photons in a nonlinear cavity,” Phys. Rev. Lett. 79, 1467-1470 (1997). [CrossRef]
- H. Wang, D. Goorskey, and M. Xiao, “Enhanced Kerr nonlinearity via atomic coherence in a three-level atomic system,” Phys. Rev. Lett. 87, 073601 (2001). [CrossRef] [PubMed]
- H. Schmidt and A. Imamoglu, “Giant Kerr nonlinearities obtained by electromagnetically induced transparency,” Opt. Lett. 21, 1936-1938 (1996). [CrossRef] [PubMed]
- M. D. Lukin and A. Imamoglu, “Nonlinear optics and quantum entanglement of ultraslow single photons,” Phys. Rev. Lett. 84, 1419-1422 (2000). [CrossRef] [PubMed]
- H. Kang and Y. Zhu, “Observation of large Kerr nonlinearity at low light intensities,” Phys. Rev. Lett. 91, 093601 (2003). [CrossRef] [PubMed]
- S. Rebic, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalan, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004). [CrossRef]
- D. Petrosyan and Y. P. Malakyan, “Magneto-optical rotation and cross-phase modulation via coherently driven four-level atoms in a tripod configuration,” Phys. Rev. A 70, 023822 (2004). [CrossRef]
- A. Joshi and M. Xiao, “Phase gate with a four-level inverted-Y system,” Phys. Rev. A 72, 062319 (2005). [CrossRef]
- C. Ottaviani, D. Vitali, M. Artoni, F. Cataliotti, and P. Tombesi, “Polarization qubit phase gate in driven atomic media,” Phys. Rev. Lett. 90, 197902 (2003). [CrossRef] [PubMed]
- Z.-B. Wang, K.-P. Marzlin, and B. C. Sanders, “Large cross-phase modulation between slow copropagating weak pulses in Rb87,” Phys. Rev. Lett. 97, 063901 (2006). [CrossRef] [PubMed]
- D. Petrosyan and G. Kurizki, “Symmetric photon-photon coupling by atoms with Zeeman-split sublevels,” Phys. Rev. A 65, 033833 (2002). [CrossRef]
- D. Petrosyan, “Towards deterministic optical quantum computation with coherently driven atomic ensembles,” J. Opt. B: Quantum Semiclassical Opt. 7, S141-S151 (2005). [CrossRef]
- A. B. Matsko, I. Novikova, G. R. Welch, and M. S. Zubairy, “Enhancement of Kerr nonlinearity by multiphoton coherence,” Opt. Lett. 28, 96-98 (2003). [CrossRef] [PubMed]
- Y. Niu, S. Gong, R. Li, Z. Xu, and X. Liang, “Giant Kerr nonlinearity induced by interacting dark resonances,” Opt. Lett. 30, 3371-3373 (2005). [CrossRef]
- P. R. Hemmer, D. P. Katz, J. Donoghue, M. Cronin-Golomb, M. S. Shahriar, and P. Kumar, “Efficient low-intensity optical phase conjugation based on coherent population trapping in sodium,” Opt. Lett. 20, 982-984 (1995). [CrossRef] [PubMed]
- B. Lu, W. H. Burkett, and M. Xiao, “Nondegenerate four-wave mixing in a double-L system under the influence of coherent population trapping,” Opt. Lett. 23, 804-806 (1998). [CrossRef]
- Y. Li and M. Xiao, “Enhancement of nondegenerate four-wave mixing based on electromagnetically induced transparency in rubidium atoms,” Opt. Lett. 21, 1064-1066 (1996). [CrossRef] [PubMed]
- D. A. Braje, V. Balic, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93, 183601 (2004). [CrossRef] [PubMed]
- M. Jain, H. Xia, G. Y. Yin, A. J. Marriam, and S. E. Harris, “Efficient nonlinear frequency conversion with maximal atomic coherence,” Phys. Rev. Lett. 77, 4326-4329 (1996). [CrossRef] [PubMed]
- A. J. Marriam, S. J. Sharpe, M. Shverdin, D. Manuszak, G. Y. Yin, and S. E. Harris, “Efficient nonlinear frequency conversion in an all-resonant double-Λ system,” Phys. Rev. Lett. 84, 5308-5311 (2000). [CrossRef]
- S. F. Yelin, V. A. Sautenkov, M. M. Kash, G. R. Welch, and M. D. Lukin, “Nonlinear optics via double dark resonances,” Phys. Rev. A 68, 063801 (2003). [CrossRef]
- D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003). [CrossRef]
- J. Zhang, G. Hernandez, and Y. Zhu, “All-optical switching at ultralow light levels,” Opt. Lett. 32, 1317-1319 (2007). [CrossRef] [PubMed]
- Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, “Low-light-level photon switching by quantum interference,” Opt. Lett. 30, 3207-3209 (2005). [CrossRef] [PubMed]
- B. S. Ham and P. R. Hemmer, “Coherence switching in a four-level system: quantum switching,” Phys. Rev. Lett. 84, 4080-4083 (2000). [CrossRef] [PubMed]
- L. Deng and M. G. Payne, “Gain-assisted large and rapidly responding Kerr effect using a room-temperature active Raman gain medium,” Phys. Rev. Lett. 98, 253902 (2007). [CrossRef] [PubMed]
- Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, “Measurement of conditional phase shifts for quantum logic,” Phys. Rev. Lett. 75, 4710-4713 (1995). [CrossRef] [PubMed]
- K. Nemoto and W. J. Munro, “Nearly deterministic linear optical controlled-NOT gate,” Phys. Rev. Lett. 93, 250502 (2004). [CrossRef]
- S. D. Barrett, P. Kok, K. Nemoto, R. G. Beausoleil, W. J. Munro, and T. P. Spiller, “Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities,” Phys. Rev. A 71, 060302(R) (2005). [CrossRef]
- W. J. Munro, K. Nemoto, and T. P. Spiller, “Weak nonlinearities: a new route to optical quantum computation,” New J. Phys. 7, 137 (2005). [CrossRef]
- S. Li, X. Yang, X. Cao, C. Zhang, C. Xie, and H. Wang, “Enhanced cross-phase modulation based on a double electromagnetically induced transparency in a four-level tripod atomic system,” Phys. Rev. Lett. 101, 073602 (2008). [CrossRef] [PubMed]
- S. Li, X. Yang, X. Cao, C. Xie, and H. Wang, “Two electromagnetically induced transparency windows and an enhanced electromagnetically induced transparency signal in a four-level tripod atomic system,” J. Phys. B 40, 3211-3219 (2007). [CrossRef]
- H. Wang, D. Goorskey, and M. Xiao, “Atomic coherence induced Kerr nonlinearity enhancement in Rb vapor,” J. Mod. Opt. 49, 335-347 (2002). [CrossRef]
- M. Xiao, Y. Li, S. Jin, and J. Gea-Banacloche, “Measurement of dispersive properties of electromagnetically induced transparency in Rubidium atoms,” Phys. Rev. Lett. 74, 666-669 (1995). [CrossRef] [PubMed]
- Y. Han, J. Xiao, Y. Liu, C. Zhang, H. Wang, M. Xiao, and K. Peng, “Interacting dark states with enhanced nonlinearity in an ideal four-level tripod atomic system,” Phys. Rev. A 77, 023824 (2008). [CrossRef]
- C. Y. Ye and A. S. Zibrov, “Width of the electromagnetically induced transparency resonance in atomic vapor,” Phys. Rev. A 65, 023806 (2002). [CrossRef]

## Cited By |
Alert me when this paper is cited |

« Previous Article | Next Article »

OSA is a member of CrossRef.