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The atomic entropy squeezing of the Jaynes-Cummings model driven by classical fields in non-Markovian environment is investigated according to the non-Markovian quantum theory and the entropy squeezing theory. Our attention is focused on the influences of the non-Markovian effects, the Rabi frequencys of classical fields and the detuning on the atomic entropy squeezing. And we explain the atomic entropy squeezing dynamic by the memory effects of the non-Markovian processes. It is found that the atomic entropy squeezing can be maintained for a long time when both the Rabi frequencys of classical fields and the non-Markovian effect are present simultaneously. And we can obtain the optimal squeezing states by choosing appropriate parameters of the Rabi frequency and the detuning of classical field. Our results provide a potential method of generating high-degree squeezed and longtime atomic squeezing states by controlling the atom-field interaction.
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Keywords:
- Jaynes-Cummings model /
- classical driving field /
- non-Markovian environment /
- entropy squeezing
[1] Breuer H P, Burgarth D, Petruccione F 2004 Phys. Rev. B 70 045323
[2] Fischer J, Breuer H P 2007 Phys. Rev. A 76 052119
[3] Breuer H P, Laine E M, Piilo J 2009 Phys. Rev. Lett. 103 210401
[4] Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503
[5] Scala M, Militello B, Messina A, Maniscalco S, Piilo J, Suominen K A 2008 Phys. Rev. A 77 043827
[6] Piilo J, Maniscalco S, Härkönen, Suominen K A 2008 Phys. Rev. Lett. 100 180402
[7] Bellomo B, Franco R L, Compagno G 2007 Phys. Rev. Lett. 99 160502
[8] Bellomo B, Franco R L, Compagno G 2008 Phys. Rev. A 77 032342
[9] Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2009 Phys. Rev. A 79 042302
[10] Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2006 Phys. Rev. A 80 012104
[11] Ban M, Kitajima S, Shibata F 2005 J. Phys. A: Math. Gen. 38 7161
[12] Xiao X, Fang M F, Li Y L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 185505
[13] Xiao X, Fang M F, Li Y L 2011 Phys. Scr. 83 015013
[14] Sorensen J L, Hald J, Polzik E S 1998 Phys. Rev. Lett. 80 3487
[15] Wineland D J, Bollinger J J, Itano W M 1994 Phys. Rev. A 50 67
[16] Ye J, Kimble H J, Katori H 2008 Science 320 1734
[17] Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 19
[18] Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 86
[19] Kuang L M, Zeng A H, Kuang Z H 2003 Phys. Lett. A 319 24
[20] Wu Y, Yang X X 1997 Phys. Rev. Lett. 78 3086
[21] Zhou L, Kuang L M 2002 Phys. Lett. A 302 273
[22] Hillery M 2000 Phys. Rev. A 61 022309
[23] Ralph T C 2000 Phys. Rev. A 61 010303R
[24] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) pp501-607
[25] Furusawa A, Sorensen J L, Braunstein S L, Fuchs C A, Kimble H J, Polzik E S 1998 Science 282 706
[26] Dong C H 2001 Acta Phys. Sin. 50 1058 (in Chinese) [董传华 2001 50 1058]
[27] Tian Y H, Peng J S 1999 Acta Phys. Sin. 48 2060 (in Chinese) [田永红, 彭金生 1999 48 2060]
[28] Fang M F, Zhou P, Swain S 2000 J. Mod. Opt. 47 1043
[29] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[30] Ge G Q, Luo X L, Wu Y, Li Z G 1996 Phys. Rev. A 54 1604
[31] Breuer H P, Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press) p472
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[1] Breuer H P, Burgarth D, Petruccione F 2004 Phys. Rev. B 70 045323
[2] Fischer J, Breuer H P 2007 Phys. Rev. A 76 052119
[3] Breuer H P, Laine E M, Piilo J 2009 Phys. Rev. Lett. 103 210401
[4] Maniscalco S, Francica F, Zaffino R L, Gullo N L, Plastina F 2008 Phys. Rev. Lett. 100 090503
[5] Scala M, Militello B, Messina A, Maniscalco S, Piilo J, Suominen K A 2008 Phys. Rev. A 77 043827
[6] Piilo J, Maniscalco S, Härkönen, Suominen K A 2008 Phys. Rev. Lett. 100 180402
[7] Bellomo B, Franco R L, Compagno G 2007 Phys. Rev. Lett. 99 160502
[8] Bellomo B, Franco R L, Compagno G 2008 Phys. Rev. A 77 032342
[9] Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2009 Phys. Rev. A 79 042302
[10] Mazzola L, Maniscalco S, Piilo J, Suominen K A, Garraway B M 2006 Phys. Rev. A 80 012104
[11] Ban M, Kitajima S, Shibata F 2005 J. Phys. A: Math. Gen. 38 7161
[12] Xiao X, Fang M F, Li Y L 2010 J. Phys. B: At. Mol. Opt. Phys. 43 185505
[13] Xiao X, Fang M F, Li Y L 2011 Phys. Scr. 83 015013
[14] Sorensen J L, Hald J, Polzik E S 1998 Phys. Rev. Lett. 80 3487
[15] Wineland D J, Bollinger J J, Itano W M 1994 Phys. Rev. A 50 67
[16] Ye J, Kimble H J, Katori H 2008 Science 320 1734
[17] Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 19
[18] Ban M 2000 J. Opt. B: Quantum Semiclass. Opt. 27 86
[19] Kuang L M, Zeng A H, Kuang Z H 2003 Phys. Lett. A 319 24
[20] Wu Y, Yang X X 1997 Phys. Rev. Lett. 78 3086
[21] Zhou L, Kuang L M 2002 Phys. Lett. A 302 273
[22] Hillery M 2000 Phys. Rev. A 61 022309
[23] Ralph T C 2000 Phys. Rev. A 61 010303R
[24] Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) pp501-607
[25] Furusawa A, Sorensen J L, Braunstein S L, Fuchs C A, Kimble H J, Polzik E S 1998 Science 282 706
[26] Dong C H 2001 Acta Phys. Sin. 50 1058 (in Chinese) [董传华 2001 50 1058]
[27] Tian Y H, Peng J S 1999 Acta Phys. Sin. 48 2060 (in Chinese) [田永红, 彭金生 1999 48 2060]
[28] Fang M F, Zhou P, Swain S 2000 J. Mod. Opt. 47 1043
[29] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[30] Ge G Q, Luo X L, Wu Y, Li Z G 1996 Phys. Rev. A 54 1604
[31] Breuer H P, Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press) p472
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