Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

doi:10.1088/1674-1056/19/2/020502

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/19/2/020502

Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

金光日, 王波波, 吕燕伍

Department of Physics, School of Science, Beijing Jiaotong University, Beijing 100044, China

收稿日期:2009-03-20 修回日期:2009-09-22 出版日期:2010-02-15 发布日期:2010-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10804007), the Special Research Foundation and Development Program (Grant No.~200800041003), and Research Funds of Beijing Jiaotong University (Grant No.~2007XM049).

Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

Jin Guang-Ri(金光日)^†, Wang Bo-Bo(王波波), and LÜ Yan-Wu(吕燕伍)

Department of Physics, School of Science, Beijing Jiaotong University, Beijing 100044, China

Received:2009-03-20 Revised:2009-09-22 Online:2010-02-15 Published:2010-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10804007), the Special Research Foundation and Development Program (Grant No.~200800041003), and Research Funds of Beijing Jiaotong University (Grant No.~2007XM049).

摘要/Abstract

摘要： We investigate phase diffusion of a two-component Bose--Einstein condensates prepared initially in arbitrary coherent spin state |θ₀,φ₀|. Analytical expression of the phase-diffusion time is presented for θ₀～π/2 case. In comparison with the symmetrical case (i.e., θ₀=π/2), we find that the diffusion process becomes slow due to the reduced atom number variance.

Abstract: We investigate phase diffusion of a two-component Bose--Einstein condensates prepared initially in arbitrary coherent spin state |$\theta_0$, $\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for $\theta_0\neq \pi/2$ case. In comparison with the symmetrical case (i.e., $\theta_0=\pi/2$), we find that the diffusion process becomes slow due to the reduced atom number variance.

Key words: Bose--Einstein condensates, phase diffusion, coherent spin states

中图分类号: (Other Bose-Einstein condensation phenomena)

03.75.Nt

05.30.Jp (Boson systems) 42.50.Dv (Quantum state engineering and measurements)

金光日, 王波波, 吕燕伍. Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state[J]. 中国物理B, 2010, 19(2): 20502-020502.

Jin Guang-Ri(金光日), Wang Bo-Bo(王波波), and LÜ Yan-Wu(吕燕伍). Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state[J]. Chin. Phys. B, 2010, 19(2): 20502-020502.

参考文献 41a

[1]	Lewenstein M and You L 1996 Phys. Rev. Lett. 77 3489
[2]	Wright E M, Walls D F and Garrison J C 1996 Phys. Rev.Lett. 77 2158
[3]	Imamo?lu A, Lewenstein M and You L 1997 Phys. Rev.Lett. 78 2511
[4]	Javanainen J and Wilkens M 1997 Phys. Rev. Lett. 78 4675
[4a]	Javanainen J and Ivanov M Y 1999 Phys. Rev. A 60 2351
[5]	Castin Y and Dalibard J 1997 Phys. Rev. A 55 4330
[6]	Law C K, Pu H, Bigelow N P and Eberly J H 1998 Phys.Rev. A 58 531
[7]	Khodorkovsky Y, Kurizki G and Vardi A 2008 Phys. Rev.Lett. 100 220403
[8]	Orzel C, Tuchman A K, Fenselau M L, Yasuda M andKasevich M A 2001 Science 291 2386
[8a]	Greiner M, Mandel O, Esslinger T, H?nsch T W and Bloch I 2002 Nature 4 15 39
[8b]	Li W, Tuchman A K, Chien H C and Kasevich M A 2007 Phys.Rev. Lett. 98 040402
[9]	Schumm T, Hofferberth S, Andersson L M, Wildermuth S, Groth S, Bar-JosephI, Schmiedmayer J and Krüger P 2005 Nature Phys. 1 57
[9a]	Shin Y, Sanner C, Jo G B, Pasquini T A, Saba M, Ketterle W,Pritchard D E, Vengalattore M and Prentiss M 2005 Phys.Rev. A 72 021604(R)
[10]	Chuu C S, Schreck F, Meyrath T P, Hanssen J L, Price G N and Raizen M G2005 Phys. Rev. Lett. 95 260403
[11]	Jo G B, Shin Y, Will S, Pasquini T A, Saba M, Ketterle W, Pritchard D E,Vengalattore M and Prentiss M 2007 Phys. Rev. Lett. 98 030407
[12]	Widera A, Trotzky S, Cheinet P, F?lling S, Gerbier F, Bloch I,Gritsev V, Lukin M D and Demler E 2008 Phys. Rev. Lett. 100 140401
[13]	Radcliffe J M 1971 J. Phys. A 4 313
	[Arecchi F T, Courtens E, Gilmore R and Thomas H 1972 Phys.Rev. A 6 2211
[14]	Walls D F and Milburn G J 2008 Quantum Optics(the2nd edition, Berlin Heidelberg: Springer-Verlag) and referencestherein
[15]	Kitagawa M and Ueda M 1993 Phys. Rev. A 47 5138
[15a]	S?rensen A, Duan L M, Cirac J I and Zoller P 2001 Nature 409 63
[16]	Jin G R and Kim S W 2007 Phys. Rev. A 76 043621
	[ 16a]Jin G R and Kim S W 2007 Phys. Rev. Lett. 99 170405
[17]	Jin G R and Law C K 2008 Phys. Rev. A 78 063620
[18]	Wei W 2005 Chin. Phys. 142407
[19]	Cheng R and Liang J Q 2007 Chin. Phys. 16 834
[20]	Wang D L, Wang F J, Xiao Y F and Yan X H 2006 Acta Phys.Sin. 55 547 (in Chinese)
[21]	Kong L B, Zhan M S and Zhou L 2008 Chin. Phys. B 17 1601
[22]	Trimborn F, Witthaut D and Korsch H J 2009 Phys. Rev. A 79 013608
[23]	Shalm L K, Adamson R B A and Steinberg A M 2009 Nature 457 67
[24]	Kuang L M and Ouyang Z W 2000 Phys. Rev. A 61 023604
[24a]	Kuang L M and Zhou L 2003 Phys. Rev. A 68 043606
[24b]	Li W D, Zhou X J, Wang Y Q, Liang J Q and Liu W M 2001 Phys. Rev. A 64 015602
[25]	Javanainen J and Mackie M 1999 Phys. Rev. A 59R3186
[25a]	Vardi A, Yurovsky V A and Anglin J R 2001 Phys.Rev. A 64 063611
[26]	Jin G R, Kim C K and Nahm K 2005 Phys. Rev. A 72 045602
[27]	Cai W, Jing H, Zhan M S and Xu J J 2007 Chin. Phys. Lett. 24 867
[28]	Jin G R and Liu W M 2004 Phys. Rev. A 70 013803
[28a]	Jin G R, Liang Z X and Liu W M 2004 J. Opt. B: QuantumSemiclass. Opt. 6 296
[29]	Glazov M M and Kavokin K V 2006 Phys. Rev. B 7 3 245317
[30]	Li W, Song P, Liu J and Yang X 2007 J. Phys. B 40 1957
[31]	Sinatra A and Castin Y 2000 Eur. Phys. J. D 8 319
[32]	Ao P and Chui S T 1998 Phys. Rev. A 58 4836
[32a]	Wu B and Niu Q 2001 Phys. Rev. A 64 061603(R)
[32b]	Konotop V V and Salerno M 2002 Phys. Rev. A 65 021602(R)
[33]	Kasamatsu K and Tsubota M 2004 Phys. Rev. Lett. 9 3100402
[33a]	Kasamatsu K and Tsubota M 2006 Phys. Rev. A 74 013617
[34]	Li L, Li Z, Malomed B A, Mihalache D and Liu W M 2005 Phys. Rev. A 72033611
[34a]	Jin G R, Kim C K and Nahm K 2005 Phys. Rev. A 72 045601
[35]	Belmonte-Beitia J, Pérez-Garcí a V M and Vekslerchik V 2007 Chaos, Solitons and Fractals 32 1268
[36]	Huang J S, Chen H F and Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese)
[37]	Sorokinaa E A, Maimistova A I and Elyutin S O 2009 PhysicaD 238 1394
[38]	Alon O E, Streltsov A I and Cederbaum L S 2009 Phys. Rev. A 79 022503
[39]	Baizakov B B, Bouketir A, Messikh A and Umarov B A2009 Phys. Rev. E 79 046605
[40]	Cui H T, Wang L C and Yi X X 2004 Acta Phys.Sin. 5 3 991 (in Chinese)
[41]	Bistritzer R and Altman E 2007 PNAS 104 9955
[41a]	Burkov A A, Lukin M D and Demler E 2007 Phys. Rev. Lett. 98 200404

Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

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