Abstract

Coherent manipulation of stored images is performed at low light levels based on enhanced cross-Kerr nonlinearity in a four-level N-type electromagnetically induced transparency (EIT) system. Using intensity masks in the signal pulse, quadratic phase shifts with low nonlinear absorption can be efficiently imprinted on the Fraunhofer diffraction patterns already stored in the EIT system. Fast-Fourier-transform-based numerical simulations clearly demonstrate that the far-field images of the retrieved probe light can be flexibly modulated by applying different signal fields. Our studies could help advance the goals of nonlinear all-optical processing for spatial information coherently stored in EIT systems.

© 2012 Optical Society of America

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2010 (1)

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

2009 (1)

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

2008 (3)

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef]

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

2006 (1)

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

2003 (1)

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

2000 (1)

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef]

1999 (1)

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

1996 (1)

Beil, F.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

Bloch, I.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

Camacho, R. M.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef]

Chen, Y.-F.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Davidson, N.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

Ding, D.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Firstenberg, O.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

Fleischhauer, M.

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

Guo, G.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Halfmann, T.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

Harris, S. E.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

Hau, L. V.

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

Heinze, G.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

Howell, J. C.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef]

Imamoglu, A.

Ingle, V. K.

V. K. Ingle and J. G. Proakis, Digital Signal Processing Using MATLAB V.4 (PWS Publishing Company, 1997).

Kang, H.

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

Kuhr, S.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

Liu, Y.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Lukin, M. D.

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef]

Proakis, J. G.

V. K. Ingle and J. G. Proakis, Digital Signal Processing Using MATLAB V.4 (PWS Publishing Company, 1997).

Pugatch, R.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

Ron, A.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

Rudolf, A.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

Schmidt, H.

Schnorrberger, U.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

Shi, B.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Shuker, M.

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

Thompson, J. D.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

Trotzky, S.

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

Vudyasetu, P. K.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef]

Wang, C.-Y.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Wang, S.-H.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Wang, T.

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

Wu, J.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Xiao, Y.

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

Yelin, S. F.

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

Yu, I. A.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Zhao, L.

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

Zhou, Z.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Zhu, Y.

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

Zou, X.

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

Opt. Lett. (1)

Phys. Rev. A (2)

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, Phys. Rev. A 81, 011401(R) (2010).

L. Zhao, T. Wang, Y. Xiao, and S. F. Yelin, Phys. Rev. A 77, 041802(R) (2008).

Phys. Rev. Lett. (7)

M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, and N. Davidson, Phys. Rev. Lett. 100, 223601 (2008).
[CrossRef]

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef]

S. E. Harris and L. V. Hau, Phys. Rev. Lett. 82, 4611 (1999).
[CrossRef]

H. Kang and Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. 103, 033003 (2009).
[CrossRef]

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef]

Other (5)

J. Wu, D. Ding, Y. Liu, Z. Zhou, B. Shi, X. Zou, and G. Guo, arXiv:1204.0955 (2012).

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

D. A. Steck, “Rubidium 87 D Line Data,” available online at http://steck.us/alkalidata (revision 2.1.2, 12 August2009).

V. K. Ingle and J. G. Proakis, Digital Signal Processing Using MATLAB V.4 (PWS Publishing Company, 1997).

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