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Matter wave interference of dilute Bose gases in the critical regime |
| Xuguang Yue(乐旭广)1,2, Shujuan Liu(刘淑娟)1,2, Biao Wu(吴飙)1,3,4, Hongwei Xiong(熊宏伟)1,2 |
1 Wilczek Quantum Center, Zhejiang University of Technology, Hangzhou 310023, China;
2 Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China;
3 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
4 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China |
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Abstract Ultra-cold atomic gases provide a new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the interference in the momentum distribution can be used to extract the correlation in the Bose gas. A simple relation between the interference visibility and the correlation length is found and used to interpret the pioneering experiment about the critical behavior of dilute Bose gases [Science 315 1556 (2007)]. Our theory paves the way to experimentally study various types of ultra-cold atomic gases with the means of matter wave interference.
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Received: 16 December 2016
Revised: 20 February 2017
Accepted manuscript online:
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PACS:
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05.30.Jp
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(Boson systems)
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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03.75.Nt
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(Other Bose-Einstein condensation phenomena)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504328, 11274024, and 11334001) and the National Basic Research Program of China (Grants Nos. 2013CB921903 and 2012CB921300). |
Corresponding Authors:
Hongwei Xiong
E-mail: hwxiong@zjut.edu.cn
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Cite this article:
Xuguang Yue(乐旭广), Shujuan Liu(刘淑娟), Biao Wu(吴飙), Hongwei Xiong(熊宏伟) Matter wave interference of dilute Bose gases in the critical regime 2017 Chin. Phys. B 26 050501
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| [1] |
Cronin A D, Schmiedmayer J and Pritchard D E 2009 Rev. Mod. Phys. 81 1051
|
| [2] |
Andrews M R, Townsend C G, Miesner H J, Durfee D S, Kurn D M and Ketterle W 1997 Science 275 637
|
| [3] |
Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
|
| [4] |
Greiner M, Mandel O, Esslinger T, Hánsch T W and Bloch I 2002 Nature 415 3944
|
| [5] |
Polkovnikov A, Altman E and Demler E 2006 Proc. Natl. Acad. Sci. USA 103 6125
|
| [6] |
Gritsev V, Altman E, Demler E and Polkovnikov A 2006 Nat. Phys. 2 705
|
| [7] |
Polkovnikov A 2007 Europhys. Lett. 78 10006
|
| [8] |
Hadzibabic Z, Krüger P, Cheneau M, Battelier B and Dalibard J 2006 Nature 441 1118
|
| [9] |
Hofferberth S, Lesanovsky I, Schumm T, Imambekov A, Gritsev V, Demler E and Schmiedmayer J 2008 Nat. Phys. 4 489
|
| [10] |
Fang B, Johnson A, Roscilde T and Bouchoule I 2016 Phys. Rev. Lett. 116 050402
|
| [11] |
Chang R, Bouton Q, Cayla H, Qu C, Aspect A, Westbrook C I and Clément D 2016 Phys. Rev. Lett. 117 235303
|
| [12] |
Javanainen J and Yoo S M 1996 Phys. Rev. Lett. 76 161
|
| [13] |
Cirac J I, Gardiner C W, Naraschewski M and Zoller P 1996 Phys. Rev. A 54 R3714
|
| [14] |
Castin Y and Dalibard J 1997 Phys. Rev. A 55 4330
|
| [15] |
Xiong H, Liu S and Zhan M 2006 New J. Phys. 8 245
|
| [16] |
Cederbaum L S, Streltsov A I, Band Y B and Alon O E 2007 Phys. Rev. Lett. 98 110405
|
| [17] |
Liu S and Xiong H 2007 New J. Phys. 9 412
|
| [18] |
Masiello D J and Reinhardt W P 2007 Phys. Rev. A 76 043612
|
| [19] |
Paraoanu G S 2008 Phys. Rev. A 77 041605
|
| [20] |
Simon J, Bakr W S, Ma R, Tai M E, Preiss P M and Greiner M 2011 Nature 472 307
|
| [21] |
Zhang X, Hung C L, Tung S K and Chin C 2012 Science 335 1070
|
| [22] |
Hung C L, Zhang X, Gemelke N and Chin C 2011 Nature 470 236
|
| [23] |
Ku M J H, Sommer A T, Cheuk L W and Zwierlein M W 2012 Science 335 563
|
| [24] |
Kato Y, Zhou Q, Kawashima N and Trivedi N 2008 Nat. Phys. 4 617
|
| [25] |
Campostrini M and Vicari E 2009 Phys. Rev. Lett. 102 240601
|
| [26] |
Zhou Q and Ho T L 2010 Phys. Rev. Lett. 105 245702
|
| [27] |
Diehl S, Baranov M, Daley A J and Zoller P 2010 Phys. Rev. Lett. 104 165301
|
| [28] |
Guan X W and Ho T L 2011 Phys. Rev. A 84 023616
|
| [29] |
Yin X, Guan X W, Chen S and Batchelor M T 2011 Phys. Rev. A 84 011602
|
| [30] |
Kuhn C C N, Guan X W, Foerster A and Batchelor M T 2012 Phys. Rev. A 85 043606
|
| [31] |
Kuhn C C N, Guan X W, Foerster A and Batchelor M T 2012 Phys. Rev. A 86 011605
|
| [32] |
Hazzard K R A and Mueller E J 2011 Phys. Rev. A 84 013604
|
| [33] |
Fang S, Chung C M, Ma P N, Chen P and Wang D W 2011 Phys. Rev. A 83 031605
|
| [34] |
Donner T, Ritter S, Bourdel T, Oťtl A, Koħl M and Esslinger T 2007 Science 315 1556
|
| [35] |
Zinn-Justin J 2002 Quantum Field Theory and Critical Phenomena (Oxford: Oxford University Press)
|
| [36] |
Chaikin P M and Lubensky T C 2000 Principles of Condensed Matter Physics (Cambridge: Cambridge University Press)
|
| [37] |
Privman V, Hohenberg P C and Aharony A 1991 Universal Critical-Point Amplitude Relations (New York: Academic Press) pp. 1-134
|
| [38] |
Xiong W, Zhou X, Yue X, Chen X, Wu B and Xiong H 2013 Laser Phys. Lett. 10 125502
|
| [39] |
Bourdel T, Donner T, Ritter S, Oťtl A, Koħl M and Esslinger T 2006 Phys. Rev. A 73 043602
|
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