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Nonclassical properties of atomic radiation field in a nonlinear photonic crystal

Wei Qiao Li Gao-Xiang Yan Yan

Nonclassical properties of atomic radiation field in a nonlinear photonic crystal

Wei Qiao, Li Gao-Xiang, Yan Yan
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  • We study spectral properties and photon statistical characteristics of a strongly driven two-level atom produced within a nonlinear photonic crystal. This study reveals that when a large discontinuity in the local photon density of states and the cavity field mode is resonant with the central component of the Mollow spectrum of atomic resonance fluorescence, there is squeezing of the cavity field below the quantum shot noise limit and the peak of the cavity field spectrum that is achieved in the nonlinear photonic crystal is higher than that in the linear photonic crystal. Furthermore, we can see the statistics of the photons emitted by the atom into the microcavity is sub-Poissonian and close to Poissonian when the frequency of the driving field is high.
    • Funds:
    [1]

    [1]Slusher R E, Hollberg L W, Yurke B, Mertz J C, Valley J F 1985 Phys. Rev. Lett. 55 2409

    [2]

    [2]Wu L A, Kimble H J, Hall J L, Wu H 1986 Phys. Rev. Lett. 57 2520

    [3]

    [3]Agarwal G S 1989 Phys. Rev. A 40 4138

    [4]

    [4]Clemens J P, Rice P R, Rungta P K, Brecha R J 2000 Phys. Rev. A 62 033802

    [5]

    [5]Strimbu C E, Leach J, Rice P R 2005 Phys. Rev. A 71 013807

    [6]

    [6]Jin S Z, Xiao M 1993 Phys. Rev. A 48 1473

    [7]

    [7]Jin S Z, Xiao Min 1994 Phys. Rev. A 49 499

    [8]

    [8]Yablonovitch E 1987 Phys. Rev. Lett. 58 2059

    [9]

    [9]Quang T, Woldeyohannes M, John S 1987 Phys. Rev. Lett. 79 5238

    [10]

    ]John S 1987 Phys. Rev. Lett. 58 2486

    [11]

    ]John S, Quang T 1994 Phys. Rev. A 50 1764 Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805

    [12]

    ]Painter O, Lee R K, Scherer A, Yariv A, O′Brien J D, Dapkus P D, Kim I 1999 Science 284 1819

    [13]

    ]Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205

    [14]

    ]Scalora M, Dowling J P, Bowden C M, Bloemer M J 1993  Phys. Rev. Lett. 73 1368

    [15]

    ]Li G X, Luo M, Ficek Z 2009 Phys. Rev. A 49 499

    [16]

    ]John S, Quang T 1996 Phys. Rev. Lett. 78 1888

    [17]

    ]Xu J P, Wang L G, Yang Y P 2006 Acta Phys. Sin. 55 2765 (in Chinese) [许静平、 王立刚、 羊亚平 2006 物理学报 55 2765]

    [18]

    ]McKeever J, Boca A, Boozer A D, Buck J R, Kimble H J 2003 Nature 425 268

    [19]

    ]Florescu L 2006 Phys. Rev. A 74 063828

    [20]

    ]Agarwal G S, Narducci L M, Feng D H, Gilmore R 1979 Phys. Rev. Lett. 42 1260

    [21]

    ]Tan R, Li G X, Ficek Z 2008 Phys. Rev. A 78 023833

    [22]

    ]Scalora M, Bloemer M J, Manka A S, Dowling J P, Bowden C M, Viswanathan R, Haus J W 1997 Phys. Rev. A 56 3166

    [23]

    ]Dumeige Y, Vidakovic P, Sauvage S, Sagnes I, Levenson J A, Sibilia C, Centini M, D′Aguanno G, Scalora M 2001 Appl. Phys. Lett. 78 3021

    [24]

    ]Sakoda K 2002 J. Opt. Soc. Am. B 19 2060

    [25]

    ]Perina J Jr., Sibilia C, Tricca D, Bertolotti M 2004 Phys. Rev. A 70 043816

    [26]

    ]Perina J Jr. 2005 Phys. Rev. A 71 043813

    [27]

    ]Carmichael H J 1999 Statistical Methods in Quantum Optics (Vol.1) (Berlin: Springer-Verlag) p6

    [28]

    ]Mollow B R 1969 Phys. Rev. 188 1969

    [29]

    ]Lax M 1967 Phy. Rev. 157 213

    [30]

    ]Brown R H, Twiss R Q 1956 Nature 177 27

    [31]

    ]Floresu L, John S, Quang T, Wang R Z 2004 Phys. Rev. A 69 013816

    [32]

    ]Zhou P, Peng J S 1991 Chin. Sci. Bull. 36 585 (in Chinese) [周鹏、 彭金生 1991 科学通报 36 585]

  • [1]

    [1]Slusher R E, Hollberg L W, Yurke B, Mertz J C, Valley J F 1985 Phys. Rev. Lett. 55 2409

    [2]

    [2]Wu L A, Kimble H J, Hall J L, Wu H 1986 Phys. Rev. Lett. 57 2520

    [3]

    [3]Agarwal G S 1989 Phys. Rev. A 40 4138

    [4]

    [4]Clemens J P, Rice P R, Rungta P K, Brecha R J 2000 Phys. Rev. A 62 033802

    [5]

    [5]Strimbu C E, Leach J, Rice P R 2005 Phys. Rev. A 71 013807

    [6]

    [6]Jin S Z, Xiao M 1993 Phys. Rev. A 48 1473

    [7]

    [7]Jin S Z, Xiao Min 1994 Phys. Rev. A 49 499

    [8]

    [8]Yablonovitch E 1987 Phys. Rev. Lett. 58 2059

    [9]

    [9]Quang T, Woldeyohannes M, John S 1987 Phys. Rev. Lett. 79 5238

    [10]

    ]John S 1987 Phys. Rev. Lett. 58 2486

    [11]

    ]John S, Quang T 1994 Phys. Rev. A 50 1764 Yang Y P, Zhu S Y 2000 Phys. Rev. A 62 013805

    [12]

    ]Painter O, Lee R K, Scherer A, Yariv A, O′Brien J D, Dapkus P D, Kim I 1999 Science 284 1819

    [13]

    ]Zhu S Y, Chen H, Huang H 1997 Phys. Rev. Lett. 79 205

    [14]

    ]Scalora M, Dowling J P, Bowden C M, Bloemer M J 1993  Phys. Rev. Lett. 73 1368

    [15]

    ]Li G X, Luo M, Ficek Z 2009 Phys. Rev. A 49 499

    [16]

    ]John S, Quang T 1996 Phys. Rev. Lett. 78 1888

    [17]

    ]Xu J P, Wang L G, Yang Y P 2006 Acta Phys. Sin. 55 2765 (in Chinese) [许静平、 王立刚、 羊亚平 2006 物理学报 55 2765]

    [18]

    ]McKeever J, Boca A, Boozer A D, Buck J R, Kimble H J 2003 Nature 425 268

    [19]

    ]Florescu L 2006 Phys. Rev. A 74 063828

    [20]

    ]Agarwal G S, Narducci L M, Feng D H, Gilmore R 1979 Phys. Rev. Lett. 42 1260

    [21]

    ]Tan R, Li G X, Ficek Z 2008 Phys. Rev. A 78 023833

    [22]

    ]Scalora M, Bloemer M J, Manka A S, Dowling J P, Bowden C M, Viswanathan R, Haus J W 1997 Phys. Rev. A 56 3166

    [23]

    ]Dumeige Y, Vidakovic P, Sauvage S, Sagnes I, Levenson J A, Sibilia C, Centini M, D′Aguanno G, Scalora M 2001 Appl. Phys. Lett. 78 3021

    [24]

    ]Sakoda K 2002 J. Opt. Soc. Am. B 19 2060

    [25]

    ]Perina J Jr., Sibilia C, Tricca D, Bertolotti M 2004 Phys. Rev. A 70 043816

    [26]

    ]Perina J Jr. 2005 Phys. Rev. A 71 043813

    [27]

    ]Carmichael H J 1999 Statistical Methods in Quantum Optics (Vol.1) (Berlin: Springer-Verlag) p6

    [28]

    ]Mollow B R 1969 Phys. Rev. 188 1969

    [29]

    ]Lax M 1967 Phy. Rev. 157 213

    [30]

    ]Brown R H, Twiss R Q 1956 Nature 177 27

    [31]

    ]Floresu L, John S, Quang T, Wang R Z 2004 Phys. Rev. A 69 013816

    [32]

    ]Zhou P, Peng J S 1991 Chin. Sci. Bull. 36 585 (in Chinese) [周鹏、 彭金生 1991 科学通报 36 585]

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  • Received Date:  14 June 2009
  • Accepted Date:  10 July 2009
  • Published Online:  15 April 2010

Nonclassical properties of atomic radiation field in a nonlinear photonic crystal

  • 1. (1)华中师范大学物理科学与技术学院,武汉 430079; (2)华中师范大学物理科学与技术学院,武汉 430079;长江大学物理科学与技术学院,荆州 434023

Abstract: We study spectral properties and photon statistical characteristics of a strongly driven two-level atom produced within a nonlinear photonic crystal. This study reveals that when a large discontinuity in the local photon density of states and the cavity field mode is resonant with the central component of the Mollow spectrum of atomic resonance fluorescence, there is squeezing of the cavity field below the quantum shot noise limit and the peak of the cavity field spectrum that is achieved in the nonlinear photonic crystal is higher than that in the linear photonic crystal. Furthermore, we can see the statistics of the photons emitted by the atom into the microcavity is sub-Poissonian and close to Poissonian when the frequency of the driving field is high.

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