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By considering the contribution of the higher order term representing the lowest approximation of beyond mean field correction and taking Roser-Zener tunneling as the underling process, we study the nonlinear Rosen-Zener transition of Fermi superfluid gas in a two-level system. We find that the nonlinearity can affect the quantun trasition in the fast scan limit and the adiabatic limit. We also derive the analytical expression for the of rectangular oscillation period dependent on nonlinear parameter. This provides a theoretical basis for a deeper understanding of the basis properties of Fermi gases.
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Keywords:
- Fermi superfluid gases /
- Rosen-Zener transition
[1] Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[2] Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[4] DeMaico B, Jin D S 1999 Science 285 1703
[5] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[6] Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[7] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[8] Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese)[袁都奇 2006 物理学报 55 3912]
[9] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[10] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[11] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[12] Fan Z L, Men F D, Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese)[范召兰, 门福殿, 窦瑞波 2010 物理学报 \ 59 3715]
[13] Su G Z, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[14] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15] Rosen N, Zener C 1932 Phys. Rev. 40 502
[16] Landau L D 1932 Phys. Z. Sowjetunion 2 46
[17] Zener G 1932 Proc. R. Soc. London Ser. A 137 696
[18] Kyoseva E S, Vitanov A I 2006 Phys. Rev. A 73 023420
[19] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20] Ye D F, Fu L B, Liu J, Zhao H 2007 Acta Phys. Sin. 56 5071 (in Chinese)[叶地发, 傅立斌, 刘杰, 赵鸿 2007 物理学报 56 5071]
[21] Liu W M, Fan WB, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[22] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[23] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[24] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[26] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[28] Liu J, Zhang C W, Raizen M G, Niu Q 2006 Phys. Rev. A 73 013601
[29] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[31] Tan WH, Yan K Z 2000 Acta Phys. Sin. 49 1909 (in Chinese)[谭维翰, 闫珂柱 2000 物理学报 49 1909]
[32] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[33] Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
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[1] Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[2] Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[4] DeMaico B, Jin D S 1999 Science 285 1703
[5] Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[6] Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[7] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[8] Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese)[袁都奇 2006 物理学报 55 3912]
[9] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[10] Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[11] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[12] Fan Z L, Men F D, Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese)[范召兰, 门福殿, 窦瑞波 2010 物理学报 \ 59 3715]
[13] Su G Z, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[14] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15] Rosen N, Zener C 1932 Phys. Rev. 40 502
[16] Landau L D 1932 Phys. Z. Sowjetunion 2 46
[17] Zener G 1932 Proc. R. Soc. London Ser. A 137 696
[18] Kyoseva E S, Vitanov A I 2006 Phys. Rev. A 73 023420
[19] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20] Ye D F, Fu L B, Liu J, Zhao H 2007 Acta Phys. Sin. 56 5071 (in Chinese)[叶地发, 傅立斌, 刘杰, 赵鸿 2007 物理学报 56 5071]
[21] Liu W M, Fan WB, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[22] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[23] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[24] Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25] Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[26] Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27] Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[28] Liu J, Zhang C W, Raizen M G, Niu Q 2006 Phys. Rev. A 73 013601
[29] Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30] Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[31] Tan WH, Yan K Z 2000 Acta Phys. Sin. 49 1909 (in Chinese)[谭维翰, 闫珂柱 2000 物理学报 49 1909]
[32] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[33] Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
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