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Chin. Phys. B, 2010, Vol. 19(3): 033201    DOI: 10.1088/1674-1056/19/3/033201
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Effect of Landau-Zener tunneling by the varying sweeping rate of external field

Wang Jin-Bao(王锦宝), Tong Guo-Ping(童国平), and Li Sheng(李盛)
College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China
Abstract  We study the effect of Landau--Zener (LZ) tunneling caused by the varying sweeping rate of the external field, and solve the problem about the LZ tunneling rate among many levels. The LZ tunneling rate is essentially changed by the unsteady variation of the time-dependent sweeping field and is different from the steadily varying sweeping field, which makes the particles in lower states transit periodically to upper states within a finite time.
Keywords:  Landau--Zener tunneling      varying sweeping rate      transition probability      n-level state  
Received:  15 January 2009      Revised:  09 April 2009      Accepted manuscript online: 
PACS:  03.65.Xp (Tunneling, traversal time, quantum Zeno dynamics)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 20804039) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y4080300).

Cite this article: 

Wang Jin-Bao(王锦宝), Tong Guo-Ping(童国平), and Li Sheng(李盛) Effect of Landau-Zener tunneling by the varying sweeping rate of external field 2010 Chin. Phys. B 19 033201

[1] Landau L D 1932 Phys. Z. Sowjetunion 2 46
[2] Zener G 1932 Proc. R. Soc. London Ser. A 137 696
[3] Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, SundaramB and Raizen M G 1997 Phys. Rev. A 55 R857
[Madison K W,Bharucha C F, Morrow P R, Wilkinson S R, Niu Q, Sundaram B andRaizen M G 1997 Appl. Phys. B: Lasers Opt. 65 693
[4] Crothers D S and Huges J G 1977 J. Phys. B 10 L557
[5] Sibille A, Palmier J F and Laruelle F 1998 Phys. Rev.Lett. 80 4506
[6] Landau L D and Lifshitz E M 1967 Quantum Mechanics (Oxford: Pergamon)
[7] Brundobler S and Elser V 1993 J. Phys. A 26 1211
[8] Volkov M V and Ostrovsky V N 2004 J. Phys. B 37 4069
[9] Volkov M V and Ostrovsky V N 2005 J. Phys. B 38 907
[10] Dobrescu B E and Sinitsyn N A 2006 J. Phys. B 39 1253
[11] Altland A and Gurarie V 2008 Phys. Rev. Lett. 100 063602
[12] Mabuchi H and Doherty A C 2002 Science 298 1372
[13] Brennecke F, Donner T, Ritter S, Bourde T, K?h M andEsslinger T 2007 Nature (London) 450 268
[14] Auffeves A, Maioli P, Meunier T, Gleyzes S, Nogues G, Brune M,Raimond J M and Haroche S 2003 Phys. Rev. Lett. 91 230405
[15] Raimond J M, Brune M and Haroche S 2001 Rev. Mod. Phys. 73 565
[16] Blais A, Huang R S, Wallraff A, Girvin S M and Schoelkopf R J2004 Phys. Rev. A 69 062320
[17] Keeling J and Gurarie V 2008 Phys. Rev. Lett. 101 033001
[18] Altman E and Vishwanath A 2005 Phys. Rev. Lett. 95 110404
[19] Zobay O and Garraway B M 2000 Phys. Rev. A 61 033603
[19a] Wu B and Niu Q 2000 Phys. Rev. A 61 023402
[19b] Liu J, Fu L, OuB Y, Chen S G, Choi D I, Wu B and Niu Q 2002 Phys. Rev. A 66 023404
[20] Jona-Lasinio M, Morsch O, Cristiani M, Malossi N, Müller JH, Courtade E, Anderlini M and Arimondo E 2003 Phys. Rev.Lett. 91 230406
[21] Rousochatzakis I, Ajiro Y, Mitamura H, K?gerler P and LubanM 2005 Phys. Rev. Lett. 94 147204
[22] Hu J M, Chen Z D and Shen S Q 2003 Phys. Rev. B 68 104407
[22a] Chen Z D and Shen S Q 2003 Phys. Rev. B 67 012408
[22b] Fu L B, Chen S G and Hu B 2004 Phys. Lett. A 323 460
[23] Shytov A V 2004 Phys. Rev. A 70052708
[24] Sinitsyn N A 2004 J. Phys. A 37 10691
[25] Ostrovsky V N, Volkov M V, Hansen J P and Selst? S 2007Phys. Rev. B 75 014441
[26] Morris J R and Shore B W 1983 Phys. Rev. A 27 906
[27] Vavsilev G S and Ivanov S S 2007 Phys. Rev. A 75 013417
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