Abstract
We theoretically propose a scheme for realizing storage-based image adder and subtractor on account of the electromagnetically induced transparency (EIT). The image adder is implemented by directly storing two patterns in a four-level double-\(\varLambda \) system, while the image subtractor is achieved on the basis of the image adder and introducing a phase \(\pi \) to one signal field through the cross-phase modulation. Both analytical analysis and numerical simulation clearly show that, by manipulating the splitter rate of the beam splitters and the Rabi frequencies of the coupling fields, the weighted adder and subtractor of the two patterns can be accomplished. In addition, the influence of the atomic diffusion on the image adder and subtractor is also discussed, and the scheme can be easily extended to the adder and subtractor for multiple images. The current scheme may find important applications in the realization of EIT-based devices for all-optical classical and quantum information processing of images.
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Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The numerical simulation data can be obtained by the email of the corresponding author.]
References
P. Kok, W.J. Munro, K. Nemoto, T.C. Ralph, J.P. Dowling, G.J. Milburn, Linear optical quantum computing with photonic qubits. Rev. Mod. Phys. 79, 135 (2007)
A.I. Lvovsky, B.C. Sanders, W. Tittel, Optical quantum memory. Nat. Photon. 3, 706 (2009)
K. Heshami, D.G. England, P.C. Humphreys, P.J. Bustard, V.M. Acosta, J. Nunn, B.J. Sussman, Quantum memories: emerging applications and recent advances. J. Mod. Opt. 63, 2005 (2016)
Z.Q. Zhou, S.F. Huelga, C.F. Li, G.C. Guo, Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-Type inequalities. Phys. Rev. Lett. 115, 113002 (2015)
D.F. Phillips, A. Fleischhauer, A. Mair, R.L. Walsworth, M.D. Lukin, Storage of light in atomic vapor. Phys. Rev. Lett. 86, 783 (2001)
Y.F. Hsiao, P.J. Tsai, H.S. Chen, S.X. Lin, C.C. Hung, C.H. Lee, Y.H. Chen, Y.F. Chen, I.A. Yu, Y.C. Chen, Highly efficient coherent optical memory based on electromagnetically induced transparency. Phys. Rev. Lett. 120, 183602 (2018)
S.W. Su, Z.K. Lu, S.C. Gou, W.T. Liao, Controllable vacuum-induced diffraction of matter-wave superradiance using an all-optical dispersive cavity. Sci. Rep. 6, 35402 (2016)
J.A. Souza, E. Figueroa, H. Chibani, C.J. Villas-Boas, G. Rempe, Coherent control of quantum fluctuations using cavity electromagnetically induced transparency. Phys. Rev. Lett. 111, 113602 (2013)
M. Himsworth, P. Nisbet, J. Dilley, G. Langfahl-Klabes, A. Kuhn, EIT-based quantum memory for single photons from cavity-QED. Appl. Phys. B 103, 579 (2011)
M. Afzelius, C. Simon, H. de Riedmatten, N. Gisin, Multimode quantum memory based on atomic frequency combs. Phys. Rev. A 79, 052329 (2009)
H. de Riedmatten, M. Afzelius, M.U. Staudt, C. Simon, N. Gisin, A solid-state light-matter interface at the single-photon level. Nature (London) 456, 773 (2008)
K.F. Reim, P. Michelberger, K.C. Lee, J. Nunn, N.K. Langford, I.A. Walmsley, Single-photon-level quantum memory at room temperature. Phys. Rev. Lett. 107, 053603 (2011)
K.F. Reim, J. Nunn, V.O. Lorenz, B.J. Sussman, K.C. Lee, N.K. Langford, D. Jaksch, I.A. Walmsley, Towards high-speed optical quantum memories. Nat. Photon. 4, 218 (2010)
M. Hosseini, B.M. Sparkes, G. Campbell, P.K. Lam, B.C. Buchler, High efficiency coherent optical memory with warm rubidium vapour. Nat. Commun. 2, 174 (2011)
M. Hosseini, G. Campbell, B.M. Sparkes, P.K. Lam, B.C. Buchler, Unconditional room-temperature quantum memory. Nat. Phys. 7, 794 (2011)
S.W. Su, S.C. Gou, L.Y. Chew, Y.Y. Chang, I.A. Yu, A. Kalachev, W.T. Liao, Setting a disordered password on a photonic memory. Phys. Rev. A 95, 061805(R) (2017)
W.T. Liao, C.H. Keitel, A. P\(acute{a}\)lffy, All-electromagnetic control of broadband quantum excitations using gradient photon echoes. Phys. Rev. Lett. 113, 123602 (2014)
C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature (London) 409, 490 (2001)
H.H. Wang, Y.F. Fan, R. Wang, L. Wang, D.M. Du, Z.H. Kang, Y. Jiang, J.H. Wu, J.Y. Gao, Slowing and storage of double light pulses in a Pr\(^{3+}\): Y\(_{2}\) SiO\(_{5}\) crystal. Opt. Lett. 34, 2596 (2009)
K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, M. Kozuma, Storage and retrieval of a squeezed vacuum. Phys. Rev. Lett. 100, 093601 (2008)
J. Appel, E. Figueroa, D. Korystov, M. Lobino, A.I. Lvovsky, Quantum memory for squeezed light. Phys. Rev. Lett. 100, 093602 (2008)
K.S. Choi, H. Deng, J. Laurat, H.J. Kimble, Mapping photonic entanglement into and out of a quantum memory. Nature (London) 452, 67 (2008)
M. Shuker, O. Firstenberg, R. Pugatch, A. Ron, N. Davidson, Storing images in warm atomic vapor. Phys. Rev. Lett. 100(22), 223601 (2008)
D.S. Ding, J.H. Wu, Z.Y. Zhou, Y. Liu, B.S. Shi, X.B. Zou, G.C. Guo, Multimode image memory based on a cold atomic ensemble. Phys. Rev. A 87(1), 013835 (2013)
D.S. Ding, J.H. Wu, Z.Y. Zhou, B.S. Shi, X.B. Zou, G.C. Guo, Multiple image storage and frequency conversion in a cold atomic ensemble. Phys. Rev. A 87(5), 053830 (2013)
G. Heinze, N. Rentzsch, T. Halfmann, Multiplexed image storage by electromagnetically induced transparency in a solid. Phys. Rev. A 86(5), 053837 (2012)
Y.W. Cho, J.E. Oh, Y.H. Kim, Storage and retrieval of ghost images in hot atomic vapor. Opt. Expr. 20(5), 5809–5816 (2012)
P.K. Vudyasetu, R.M. Camacho, J.C. Howell, Storage and retrieval of multimode transverse images in hot atomic rubidium vapor. Phys. Rev. Lett. 100(12), 123903 (2008)
R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, N. Davidson, Topological stability of stored optical vortices. Phys. Rev. Lett. 98(20), 203601 (2007)
H.J. Kimble, The quantum internet. Nature (London) 453(7198), 1023–1030 (2008)
K.K. Park, T.M. Zhao, J.C. Lee, Y.T. Chough, Y.H. Kim, Coherent and dynamic beam splitting based on light storage in cold atoms. Sci. Rep. 6(1), 34279 (2016)
H.H. Wang, Y.F. Fan, R. Wang, D.M. Du, X.J. Zhang, Z.H. Kang, Y. Jiang, J.H. Wu, J.Y. Gao, Three-channel all-optical routing in a Pr\(^{3+}\): Y\(_{2}\) SiO\(_{5}\) crystal. Opt. Expr. 17(14), 12197–12202 (2009)
H.H. Wang, X.G. Wei, L. Wang, Y.J. Li, D.M. Du, J.H. Wu, Z.H. Kang, Y. Jiang, J.Y. Gao, Optical information transfer between two light channels in a Pr\(^{3+}\): Y\(_{2}\) SiO\(_{5}\) crystal. Opt. Expr. 15(24), 16044–16050 (2007)
H.H. Wang, A.J. Li, D.M. Du, Y.F. Fan, L. Wang, Z.H. Kang, Y. Jiang, J.H. Wu, J.Y. Gao, All-optical routing by light storage in a Pr\(^{3+}\): Y\(_{2}\) SiO\(_{5}\) crystal. Appl. Phys. Lett. 93(22), 221112 (2008)
L. Wang, J.X. Sun, M.X. Luo, Y.H. Sun, X.X. Wang, Y. Chen, Z.H. Kang, H.H. Wang, J.H. Wu, J.Y. Gao, Image routing via atomic spin coherence. Sci. Rep. 5(1), 18179 (2015)
B. Zhao, Y.A. Chen, X.H. Bao, T. Strassel, C.S. Chuu, X.M. Jin, J. Schmiedmayer, Z.S. Yuan, S. Chen, J.W. Pan, A millisecond quantum memory for scalable quantum networks. Nat. Phys. 5, 95–99 (2008)
E. Biham, B. Huttner, T. Mor, Quantum cryptographic network based on quantum memories. Phys. Rev. A 54(4), 2651 (1996)
Z.Y. Shan, Y. Zhang, Quantum-entanglement storage and extraction in quantum network node. Int. J. Quant. Inf. 16(1), 1850009 (2018)
M. Fleischhauer, J. Otterbach, R.G. Unanyan, Bose-Einstein condensation of stationary-light polaritons. Phys. Rev. Lett. 101, 163601 (2008)
M. Fleischhauer, M.D. Lukin, Dark-state polaritions in electromagnetically induced transparency. Phys. Rev. Lett. 84, 5094–5097 (2000)
Acknowledgements
This work is subsidized by the Natural Science Foundation of Shandong Province, project No. ZR2021LLZ001, and the National Natural Science Foundation of China, Project Nos. 11604174, 11704214, and 61772295.
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Qiu, T., Ma, H., Xin, P. et al. Image adder and subtractor based on light storage. Eur. Phys. J. Plus 137, 126 (2022). https://doi.org/10.1140/epjp/s13360-022-02338-x
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DOI: https://doi.org/10.1140/epjp/s13360-022-02338-x