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Manipulation of squeezed state in electromagnetically induced transparency system via dynamic Stark effectYuan Li, Zhonghua Li, Dan Wang, Jiangrui Gao, and Junxiang Zhang »View Author Affiliations
Yuan Li,
Zhonghua Li,
Dan Wang,
Jiangrui Gao,
and Junxiang Zhang^{*}
^{}The State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China ^{*}Corresponding author: junxiang@sxu.edu.cn |
JOSA B, Vol. 29, Issue 11, pp. 3177-3182 (2012)
http://dx.doi.org/10.1364/JOSAB.29.003177
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Abstract
We calculate the delay time and noise spectrum of a squeezed state throughout an electromagnetically induced transparency medium with dynamic Stark splitting. It is shown that the noise spectrum splits into two parts with the same delay time, so that the delayed squeezing can survive well in two channels. Furthermore, we show that the two squeezing channels as well as the delay time can be manipulated via one-photon detuning and detection frequency such that the quantum state with high delay time and squeezing can be well preserved. This avoids the influence of large noise from laser near zero detection frequency.
© 2012 Optical Society of America
OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.6570) Quantum optics : Squeezed states
ToC Category:
Atomic and Molecular Physics
History
Original Manuscript: July 30, 2012
Revised Manuscript: September 25, 2012
Manuscript Accepted: September 30, 2012
Published: October 30, 2012
Citation
Yuan Li, Zhonghua Li, Dan Wang, Jiangrui Gao, and Junxiang Zhang, "Manipulation of squeezed state in electromagnetically induced transparency system via dynamic Stark effect," J. Opt. Soc. Am. B 29, 3177-3182 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-11-3177
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References
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- B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurášek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432, 482–486 (2004). [CrossRef]
- C. H. Van der Wal, M. D. Eisaman, A. André, R. L. Walsworth, D. F. Phillips, A. S. Zibrov, and M. D. Lukin, “Atomic memory for correlated photon states,” Science 301, 196–200 (2003). [CrossRef]
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- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
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- A. Dantan, A. Bramati, and M. Pinard, “Atomic quantum memory: cavity versus single-pass schemes,” Phys. Rev. A 71, 043801 (2005). [CrossRef]
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- M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, “High efficiency coherent optical memory with warm rubidium vapour,” Nat. Commun. 2, 174 (2011). [CrossRef]
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- M. Afzelius, C. Simon, H. de Riedmatten, and N. Gisin, “Multimode quantum memory based on atomic frequency combs,” Phys. Rev. A 79, 052329 (2009). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- D. Akamatsu, Y. Yokoi, M. Arikawa, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Ultraslow propagation of squeezed vacuum pulses with electromagnetically induced transparency,” Phys. Rev. Lett. 99, 153602 (2007). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- C. H. Van der Wal, M. D. Eisaman, A. André, R. L. Walsworth, D. F. Phillips, A. S. Zibrov, and M. D. Lukin, “Atomic memory for correlated photon states,” Science 301, 196–200 (2003). [CrossRef]
- E. Figueroa, M. Lobino, D. Korystov, J. Appel, and A. I. Lvovsky, “Propagation of squeezed vacuum under electromagnetically induced transparency,” New J. Phys. 11, 013044 (2009). [CrossRef]
- J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- D. Akamatsu, Y. Yokoi, M. Arikawa, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Ultraslow propagation of squeezed vacuum pulses with electromagnetically induced transparency,” Phys. Rev. Lett. 99, 153602 (2007). [CrossRef]
- G. Hétet, B. C. Buchler, O. Glöckl, M. T. L. Hsu, A. M. Akulshin, H.-A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16, 7369–7381 (2008). [CrossRef]
- M. T. L. Hsu, G. Hétet, O. Glöckl, J. J. Longdell, B. C. Buchler, H.-A. Bachor, and P. K. Lam, “Quantum study of information delay in electromagnetically induced transparency,” Phys. Rev. Lett. 97, 183601 (2006). [CrossRef]
- A. Peng, M. Johnsson, W. P. Bowen, P. K. Lam, H.-A. Bachor, and J. J. Hope, “Squeezing and entanglement delay using slow light,” Phys. Rev. A 71, 033809 (2005). [CrossRef]
- J. Zhang, J. Cai, Y. Bai, J. Gao, and S.-Y. Zhu, “Optimization of noise property of delayed light in electromagnetically induced transparency,” Phys. Rev. A 76, 033814 (2007). [CrossRef]
- Y. Xiao, T. Wang, M. Baryakhtar, M. Van Camp, M. Crescimanno, M. Hohensee, L. Jiang, D. F. Phillips, M. D. Lukin, S. F. Yelin, and R. L. Walsworth, “Electromagnetically induced transparency with noisy laser,” Phys. Rev. A 80, 041805(R) (2009). [CrossRef]
- A. Peng, M. Johnsson, W. P. Bowen, P. K. Lam, H.-A. Bachor, and J. J. Hope, “Squeezing and entanglement delay using slow light,” Phys. Rev. A 71, 033809 (2005). [CrossRef]
- A. Dantan, A. Bramati, and M. Pinard, “Atomic quantum memory: cavity versus single-pass schemes,” Phys. Rev. A 71, 043801 (2005). [CrossRef]
- M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, “High efficiency coherent optical memory with warm rubidium vapour,” Nat. Commun. 2, 174 (2011). [CrossRef]
- G. Hétet, B. C. Buchler, O. Glöckl, M. T. L. Hsu, A. M. Akulshin, H.-A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16, 7369–7381 (2008). [CrossRef]
- M. T. L. Hsu, G. Hétet, O. Glöckl, J. J. Longdell, B. C. Buchler, H.-A. Bachor, and P. K. Lam, “Quantum study of information delay in electromagnetically induced transparency,” Phys. Rev. Lett. 97, 183601 (2006). [CrossRef]
- J. Zhang, J. Cai, Y. Bai, J. Gao, and S.-Y. Zhu, “Optimization of noise property of delayed light in electromagnetically induced transparency,” Phys. Rev. A 76, 033814 (2007). [CrossRef]
- M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, “High efficiency coherent optical memory with warm rubidium vapour,” Nat. Commun. 2, 174 (2011). [CrossRef]
- E. S. Polzik, J. Carri, and H. J. Kimble, “Spectroscopy with squeezed light,” Phys. Rev. Lett. 68, 3020–3023 (1992). [CrossRef]
- Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001). [CrossRef]
- Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001). [CrossRef]
- C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. Van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005). [CrossRef]
- B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurášek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432, 482–486 (2004). [CrossRef]
- J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, “Quantum state transfer and entanglement distribution among distant nodes in a quantum network,” Phys. Rev. Lett. 78, 3221–3224 (1997). [CrossRef]
- Y. Xiao, T. Wang, M. Baryakhtar, M. Van Camp, M. Crescimanno, M. Hohensee, L. Jiang, D. F. Phillips, M. D. Lukin, S. F. Yelin, and R. L. Walsworth, “Electromagnetically induced transparency with noisy laser,” Phys. Rev. A 80, 041805(R) (2009). [CrossRef]
- A. Dantan, A. Bramati, and M. Pinard, “Atomic quantum memory: cavity versus single-pass schemes,” Phys. Rev. A 71, 043801 (2005). [CrossRef]
- T. Y. Abi-Salloum, B. Henry, J. P. Davis, and F. A. Narducci, “Resonances and excitation pathways in four-level N-scheme atomic systems,” Phys. Rev. A 82, 013834 (2010). [CrossRef]
- M. Afzelius, C. Simon, H. de Riedmatten, and N. Gisin, “Multimode quantum memory based on atomic frequency combs,” Phys. Rev. A 79, 052329 (2009). [CrossRef]
- C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. Van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005). [CrossRef]
- C. H. Van der Wal, M. D. Eisaman, A. André, R. L. Walsworth, D. F. Phillips, A. S. Zibrov, and M. D. Lukin, “Atomic memory for correlated photon states,” Science 301, 196–200 (2003). [CrossRef]
- C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. Van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005). [CrossRef]
- E. Figueroa, M. Lobino, D. Korystov, J. Appel, and A. I. Lvovsky, “Propagation of squeezed vacuum under electromagnetically induced transparency,” New J. Phys. 11, 013044 (2009). [CrossRef]
- J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008). [CrossRef]
- B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurášek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432, 482–486 (2004). [CrossRef]
- M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002). [CrossRef]
- M. Fleischhauer and M. D. Lukin, “Dark-state polaritons in electromagnetically induced transparency,” Phys. Rev. Lett. 84, 5094–5097 (2000). [CrossRef]
- L. Yang, L. Zhang, X. Li, L. Han, G. Fu, N. B. Manson, D. Suter, and C. Wei, “Autler-Townes effect in a strongly driven electromagnetically induced transparency resonance,” Phys. Rev. A 72, 053801 (2005). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- D. Akamatsu, Y. Yokoi, M. Arikawa, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Ultraslow propagation of squeezed vacuum pulses with electromagnetically induced transparency,” Phys. Rev. Lett. 99, 153602 (2007). [CrossRef]
- J. Zhang, J. Cai, Y. Bai, J. Gao, and S.-Y. Zhu, “Optimization of noise property of delayed light in electromagnetically induced transparency,” Phys. Rev. A 76, 033814 (2007). [CrossRef]
- J. Gea-Banacloche, Y. Q. Li, S. Z. Jin, and M. Xiao, “Electromagnetically induced transparency in ladder-type inhomogeneously broadened media: theory and experiment,” Phys. Rev. A 51, 576–584 (1995). [CrossRef]
- M. Afzelius, C. Simon, H. de Riedmatten, and N. Gisin, “Multimode quantum memory based on atomic frequency combs,” Phys. Rev. A 79, 052329 (2009). [CrossRef]
- G. Hétet, B. C. Buchler, O. Glöckl, M. T. L. Hsu, A. M. Akulshin, H.-A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16, 7369–7381 (2008). [CrossRef]
- M. T. L. Hsu, G. Hétet, O. Glöckl, J. J. Longdell, B. C. Buchler, H.-A. Bachor, and P. K. Lam, “Quantum study of information delay in electromagnetically induced transparency,” Phys. Rev. Lett. 97, 183601 (2006). [CrossRef]
- J. Hald and E. S. Polzik, “Mapping a quantum state of light onto atoms,” J. Opt. B: Quantum Semiclass. Opt. 3, S83–S92 (2001).
- L. Yang, L. Zhang, X. Li, L. Han, G. Fu, N. B. Manson, D. Suter, and C. Wei, “Autler-Townes effect in a strongly driven electromagnetically induced transparency resonance,” Phys. Rev. A 72, 053801 (2005). [CrossRef]
- S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50(7), 36–42 (1997). [CrossRef]
- T. Y. Abi-Salloum, B. Henry, J. P. Davis, and F. A. Narducci, “Resonances and excitation pathways in four-level N-scheme atomic systems,” Phys. Rev. A 82, 013834 (2010). [CrossRef]
- G. Hétet, B. C. Buchler, O. Glöckl, M. T. L. Hsu, A. M. Akulshin, H.-A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16, 7369–7381 (2008). [CrossRef]
- G. Hétet, A. Peng, M. T. Johnsson, J. J. Hope, and P. K. Lam, “Characterization of electromagnetically-induced-transparency-based continuous-variable quantum memories,” Phys. Rev. A 77, 012323 (2008). [CrossRef]
- M. T. L. Hsu, G. Hétet, O. Glöckl, J. J. Longdell, B. C. Buchler, H.-A. Bachor, and P. K. Lam, “Quantum study of information delay in electromagnetically induced transparency,” Phys. Rev. Lett. 97, 183601 (2006). [CrossRef]
- Y. Xiao, T. Wang, M. Baryakhtar, M. Van Camp, M. Crescimanno, M. Hohensee, L. Jiang, D. F. Phillips, M. D. Lukin, S. F. Yelin, and R. L. Walsworth, “Electromagnetically induced transparency with noisy laser,” Phys. Rev. A 80, 041805(R) (2009). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- G. Hétet, A. Peng, M. T. Johnsson, J. J. Hope, and P. K. Lam, “Characterization of electromagnetically-induced-transparency-based continuous-variable quantum memories,” Phys. Rev. A 77, 012323 (2008). [CrossRef]
- A. Peng, M. Johnsson, W. P. Bowen, P. K. Lam, H.-A. Bachor, and J. J. Hope, “Squeezing and entanglement delay using slow light,” Phys. Rev. A 71, 033809 (2005). [CrossRef]
- M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, “High efficiency coherent optical memory with warm rubidium vapour,” Nat. Commun. 2, 174 (2011). [CrossRef]
- G. Hétet, B. C. Buchler, O. Glöckl, M. T. L. Hsu, A. M. Akulshin, H.-A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16, 7369–7381 (2008). [CrossRef]
- M. T. L. Hsu, G. Hétet, O. Glöckl, J. J. Longdell, B. C. Buchler, H.-A. Bachor, and P. K. Lam, “Quantum study of information delay in electromagnetically induced transparency,” Phys. Rev. Lett. 97, 183601 (2006). [CrossRef]
- K. F. Reim, J. Nunn, V. O. Lorenz, B. J. Sussman, K. C. Lee, N. K. Langford, D. Jaksch, and I. A. Walmsley, “Towards high-speed optical quantum memories,” Nat. Photonics 4, 218–221 (2010). [CrossRef]
- Y. Xiao, T. Wang, M. Baryakhtar, M. Van Camp, M. Crescimanno, M. Hohensee, L. Jiang, D. F. Phillips, M. D. Lukin, S. F. Yelin, and R. L. Walsworth, “Electromagnetically induced transparency with noisy laser,” Phys. Rev. A 80, 041805(R) (2009). [CrossRef]
- J. Gea-Banacloche, Y. Q. Li, S. Z. Jin, and M. Xiao, “Electromagnetically induced transparency in ladder-type inhomogeneously broadened media: theory and experiment,” Phys. Rev. A 51, 576–584 (1995). [CrossRef]
- A. Peng, M. Johnsson, W. P. Bowen, P. K. Lam, H.-A. Bachor, and J. J. Hope, “Squeezing and entanglement delay using slow light,” Phys. Rev. A 71, 033809 (2005). [CrossRef]
- G. Hétet, A. Peng, M. T. Johnsson, J. J. Hope, and P. K. Lam, “Characterization of electromagnetically-induced-transparency-based continuous-variable quantum memories,” Phys. Rev. A 77, 012323 (2008). [CrossRef]
- B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurášek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432, 482–486 (2004). [CrossRef]
- C. Schori, B. Julsgaard, J. L. Sørensen, and E. S. Polzik, “Recording quantum properties of light in a long-lived atomic spin state: towards quantum memory,” Phys. Rev. Lett. 89, 057903 (2002). [CrossRef]
- C. W. Chou, H. de Riedmatten, D. Felinto, S. V. Polyakov, S. J. Van Enk, and H. J. Kimble, “Measurement-induced entanglement for excitation stored in remote atomic ensembles,” Nature 438, 828–832 (2005). [CrossRef]
- J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, “Quantum state transfer and entanglement distribution among distant nodes in a quantum network,” Phys. Rev. Lett. 78, 3221–3224 (1997). [CrossRef]
- E. S. Polzik, J. Carri, and H. J. Kimble, “Spectroscopy with squeezed light,” Phys. Rev. Lett. 68, 3020–3023 (1992). [CrossRef]
- E. Figueroa, M. Lobino, D. Korystov, J. Appel, and A. I. Lvovsky, “Propagation of squeezed vacuum under electromagnetically induced transparency,” New J. Phys. 11, 013044 (2009). [CrossRef]
- J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008). [CrossRef]
- K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100, 093601 (2008). [CrossRef]
- D. Akamatsu, Y. Yokoi, M. Arikawa, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Ultraslow propagation of squeezed vacuum pulses with electromagnetically induced transparency,” Phys. Rev. Lett. 99, 153602 (2007). [CrossRef]
- S. A. Moiseev and S. Kröll, “Complete reconstruction of the quantum state of a single-photon wave packet absorbed by a Doppler-broadened transition,” Phys. Rev. Lett. 87, 173601 (2001). [CrossRef]
- M. Hosseini, B. M. Sparkes, G. Campbell, P. K. Lam, and B. C. Buchler, “High efficiency coherent optical memory with warm rubidium vapour,” Nat. Commun. 2, 174 (2011). [CrossRef]
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Nat. Photonics
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