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We consider a model consisting of three two-level atoms in a heavily damped cavity. We show that the quantum-jump-based feedback can be used to generate a steady entangled state of three atoms against decoherence. When the feedback acts on just one of the atoms, it can protect a maximally entangled state of other two atoms. When the feedback acts on three atoms, by choosing appropriate parameters we can obtain a decoherence-free subspace spanned by two vectors, and by using quantum trajectory Monte Carlo wave function method we find that the maximally entangled state of three atoms in this decoherence-free subspace can be obtained for some specific initial conditions.
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Keywords:
- entanglement /
- quantum feedback /
- quantum trajectory
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[19] Roos C F, Lancaster G P T, Riebe M, Hffner H, Hnsel W,
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[21] Carvalho A R R, Mintert F, Buchleitner A 2004 Phys. Rev. Lett. 93 230501
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[24] Wiseman H M, Milburn G J 1994 Phys. Rev. A 49 1350
[25] Wiseman H M 1994 Ph. D. Dissertation (Brisbane: University of Queensland)
[26] Smith W P, Reiner J E, Orozco L A, Kuhr S, Wiseman H M 2002 Phys. Rev. Lett. 89 133601
[27] Armen M A, Au J K, Stockton J K, Doherty A C, Mabuchi H 2002 Phys. Rev. Lett. 89 133602
[28] Lahaye M D, Buu O, Camarota B, Schwab K C 2004 Science 304 74
[29] Geremia J M, Stockton J K, Mabuchi H 2004 Science 304 270
[30] Wang J, Wiseman H M, Milburn G J 2005 Phys. Rev. A 71 042309
[31] Yamamoto N 2005 Phys. Rev. A 72 024104
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[33] Carvalho A R R, Reid A J S, Hope J J 2008 Phys. Rev. A 78 012334
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[36] Orszag M 2000 Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence (Berlin: Springer-Verlag) pp205—229
[37] Borras A, Majtey A P, Plastino A R, Casas M, Plastino A 2009 Phys. Rev. A 79 022108
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[1] Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2] Gulde S, Becher C, Eschner J, Schmidt-Kaler F, Blatt R 2004 Phys. Rev. Lett. 92 220402
[3] Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
[4] Zheng X J, Fang M F, Cai J W, Liao X P 2006 Chin. Phys. 15 492
[5] Chen X B, Du J Z, Wen Q Y, Zhu F C 2008 Chin. Phys. B 17 771
[6] Chen X B, Wen Q Y, Sun Z X, Shangguan L Y, Yang Y X 2010 Chin. Phys. B 19 010303
[7] Gao F, Wen Q Y, Zhu F C 2008 Chin. Phys. B 17 3189
[8] Bennett C H, Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[9] Fu C B, Xia Y, Zhang S 2006 Chin. Phys. 15 1682
[10] Zheng X J, Xu H, Fang M F, Zhu K C 2010 Chin. Phys. B 19 010309
[11] Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[12] Bennett C H, Brassard G 1984 Proc. IEEE Int. Conf. Computers, Systems and Signal Processing (New York: IEEE) pp175—179
[13] He J, Ye L, Ni Z X 2008 Chin. Phys. B 17 1597
[14] Zhang J S, Xu J B 2009 Chin. Phys. B 18 2288
[15] Wu C W, Han Y, Deng Z J, Liang L M, Li C Z 2010 Chin. Phys. B 19 010313
[16] Bouwmeester D, Pan J W, Daniell M, Weinfurter H, Zeilinger A 1999 Phys. Rev. Lett. 82 1345
[17] Rauschenbeutel A, Nogues G, Osnaghi S, Bertet P, Brune M, Raimond J M, Haroche S 2000 Science 288 2024
[18] Sackett C A, Kielpinski D, King B E, Langer C, Meyer V, Myatt C J, Rowe M, Turchette Q A, Itano W M, Wineland D J, Monroe C 2000 Nature 404 256
[19] Roos C F, Lancaster G P T, Riebe M, Hffner H, Hnsel W,
[20] Yu T, Eberly J H 2004 Phys. Rev. Lett. 93 140404
[21] Carvalho A R R, Mintert F, Buchleitner A 2004 Phys. Rev. Lett. 93 230501
[22] Wiseman H M, Milburn G J 1993 Phys. Rev. Lett. 70 548
[23] Wiseman H M 1994 Phys. Rev. A 49 2133
[24] Wiseman H M, Milburn G J 1994 Phys. Rev. A 49 1350
[25] Wiseman H M 1994 Ph. D. Dissertation (Brisbane: University of Queensland)
[26] Smith W P, Reiner J E, Orozco L A, Kuhr S, Wiseman H M 2002 Phys. Rev. Lett. 89 133601
[27] Armen M A, Au J K, Stockton J K, Doherty A C, Mabuchi H 2002 Phys. Rev. Lett. 89 133602
[28] Lahaye M D, Buu O, Camarota B, Schwab K C 2004 Science 304 74
[29] Geremia J M, Stockton J K, Mabuchi H 2004 Science 304 270
[30] Wang J, Wiseman H M, Milburn G J 2005 Phys. Rev. A 71 042309
[31] Yamamoto N 2005 Phys. Rev. A 72 024104
[32] Carvalho A R R, Hope J J 2007 Phys. Rev. A 76 010301
[33] Carvalho A R R, Reid A J S, Hope J J 2008 Phys. Rev. A 78 012334
[34] Li J G, Zou J, Shao B, Cai J F 2008 Phys. Rev. A 77 012339
[35] Xue D, Zou J, Li J G, Chen W Y, Shao B 2010 J. Phys. B 43 045503
[36] Orszag M 2000 Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence (Berlin: Springer-Verlag) pp205—229
[37] Borras A, Majtey A P, Plastino A R, Casas M, Plastino A 2009 Phys. Rev. A 79 022108
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