Strongly interacting ultracold quantum gases

doi:10.1007/s11467-009-0001-2

Frontiers of Physics

2009, Vol. 4

Issue (1): 1-20 https://doi.org/10.1007/s11467-009-0001-2

本期目录

Strongly interacting ultracold quantum gases

Hui ZHAI (翟荟)^1,2,3,4(

)

1. Center for Advanced Study, Tsinghua University, Beijing 100084, China; 2. Department of Physics, Ohio-State University, Columbus, OH 43210, USA; 3. Material Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA; 4. Department of Physics, University of California at Berkeley, Berkeley, CA 94720, USA

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Abstract：

This article reviews recent progresses in ultracold quantum gases, and it includes three subjects which are the Fermi gases across a Feshbach resonance, quantum gases in the optical lattices and the fast rotating quantum gases. In this article, we discuss many basic physics pictures and concepts in quantum gases, for examples, the resonant interaction, universality and condensation in the lowest Landau level; we introduce fundamental theoretical tools for studying these systems, such as mean-field theory for BEC-BCS crossover and for the boson Hubbard model; also, we emphasize the important unsolved problems in the forefront of this field, for instance, the temperature effect in optical lattices.

Key words： ultracold quantum gases Feshbach resonance optical lattice rotating quantum gases

收稿日期: 2008-08-03 出版日期: 2009-03-05

Corresponding Author(s): null,Email:huizhai.physics@gmail.com

引用本文:

. Strongly interacting ultracold quantum gases[J]. Frontiers of Physics, 2009, 4(1): 1-20.
Hui ZHAI (翟荟). Strongly interacting ultracold quantum gases. Front. Phys. , 2009, 4(1): 1-20.

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https://academic.hep.com.cn/fop/CN/10.1007/s11467-009-0001-2
https://academic.hep.com.cn/fop/CN/Y2009/V4/I1/1

1	F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. , 1999, 71: 463 doi: 10.1103/RevModPhys.71.463
2	A. J. Leggett, Rev. Mod. Phys. , 2001, 73: 307 doi: 10.1103/RevModPhys.73.307
3	S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. , 2008, 80: 1215 doi: 10.1103/RevModPhys.80.1215
4	W. Ketterle and M. W. Zwierlein, arXiv: 0801.2500, in: Proceedings of the International School of Physics “Enrico Fermi”, Course CLXIV, Varenna, 20-30 June 2006, edited by M. Inguscio, W. Ketterle, and C. Salomon
5	R. Grimm, arXiv: cond-mat/0703091, in: Proceedings of the International School of Physics “Enrico Fermi”, Course CLXIV, Varenna, 20-30 June 2006, edited by M. Inguscio, W. Ketterle, and C. Salomon
6	M. Greiner, C. A. Regal, and D. S. Jin, arXiv: condmat/0502539
7	See also Section 5.3 of the book “ Bose-Einstein Condensate in Dilute Gases”, edited by C. J. Pethick and H. Smith, published by Cambridge University Press, where they use 1/r6 model potential to demonstrate the scattering
8	R. Diener and T. L. Ho, arXiv: cond-mat/0705174
9	K. Huang and C. N. Yang, Phys. Rev. , 1957, 105: 767 doi: 10.1103/PhysRev.105.767
10	T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. , 1957, 106: 1135 doi: 10.1103/PhysRev.106.1135
11	T. D. Lee and C. N.Yang, Phys. Rev. , 1957, 105: 1119 doi: 10.1103/PhysRev.105.1119
12	D. T. Son, Phys. Rev. Lett. , 2007, 98: 020604 doi: 10.1103/PhysRevLett.98.020604
13	T. L. Ho, Phys. Rev. Lett. , 2004, 92: 090402 doi: 10.1103/PhysRevLett.92.090402
14	J. Carlson, S. Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. , 2003, 91: 050401 doi: 10.1103/PhysRevLett.91.050401
15	G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Phys. Rev. Lett. , 2004, 93: 200404 doi: 10.1103/PhysRevLett.93.200404
16	J. T. Stewart, J. P. Gaebler, C. A. Regal, and D. S. Jin, Phys. Rev. Lett. , 2006, 97: 220406 doi: 10.1103/PhysRevLett.97.220406
17	G. B. Partridge, W. H. Li, R. I. Kamar, Y. A. Liao, and R. G. Hulet, Science , 2006, 311: 503 doi: 10.1126/science.1122876
18	J. E. Thomas, J. Kinast, and A. Turlapov, Phys. Rev. Lett. , 2005, 95: 120402 doi: 10.1103/PhysRevLett.95.120402
19	L. Luo, B. Clancy, J. Joseph, J. Kinast, and J. E. Thomas, Phys. Rev. Lett. , 2007, 98: 080402 doi: 10.1103/PhysRevLett.98.080402
20	D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. , 2004, 93: 090404 doi: 10.1103/PhysRevLett.93.090404
21	A. J. Leggett, in: Modern Trends in the Theory of Condensed Matter , edited by A. Pekalski and R. Przystawa, Berlin: Springer-Verlag, 1980
22	M. Randeria, in: Bose-Einstein Condensation , edited by A. Griffin, D. W. Snoke, and S. Stringari, Cambridge: Cambridge University Press, 1995
23	P. Nozi′eres and S. Schmitt-Rink, J. Low. Temp. Phys. , 1985, 59: 195 doi: 10.1007/BF00683774
24	M. W. Zwierlein, A. Schirotzek, C. H. Schunck, and W. Ketterle, Science , 2006, 311: 492 doi: 10.1126/science.1122318
25	C. H. Schunck, Y. Shin, A. Schirotzek, M. W. Zwierlein, and W. Ketterle, Science , 2007, 316: 867 doi: 10.1126/science.1140749
26	D. E. Sheehy and L. Radzihovsky, Annals of Physics , 2007, 322: 1790, and references therein doi: 10.1016/j.aop.2006.09.009
27	E. Wille, F. M. Spiegelhalder, G. Kerner, D. Naik, A. Trenkwalder, G. Hendl, F. Schreck, R.Grimm, T. G. Tiecke, J. T. Walraven, S. J. Kokkelmans, E. Tiesinga, and P. S. Julienne, Phys. Rev. Lett. , 2008, 100: 053201 doi: 10.1103/PhysRevLett.100.053201
28	M. Bartenstein, A. Altmeyer, S. Riedl, R. Geursen, S. Jochim, C. Chin, J. Hecker Denschlag, R. Grimm, A. Simoni, E. Tiesinga, C. J. Williams, and P. S. Julienne, Phys. Rev. Lett. , 2005, 94: 103201 doi: 10.1103/PhysRevLett.94.103201
29	A. G. K. Modawi and A. J. Leggett, J. Low. Temp. Phys. , 1997, 109: 625
30	H. Zhai,, Phy. Rev. A. , 2007, 75: 031603 doi: 10.1103/PhysRevA.75.031603
31	T. B. Ottenstein, T. Lompe, M. Kohnen, A. N. Wenz, and S. Jochim, arXiv: cond-mat/0806.0587
32	M. P. A. Fisher, P. B, Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B , 1989, 40: 546 doi: 10.1103/PhysRevB.40.546
33	K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. , 1993, 22: 257 doi: 10.1209/0295-5075/22/4/004
34	M. Greiner, O. Mandel, T. Esslinger, T. W. H?nsch, and I. Bloch, Nature , 2002, 415: 39 doi: 10.1038/415039a
35	For a review of these works, see: I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. , 2008, 80: 885 doi: 10.1103/RevModPhys.80.885
36	G. K. Campbell, J. Mun, M. Boyd, P. Medley, A. E. Leanhardt, L. G. Marcassa, D. E. Pritchard, and W. Ketterle, Science , 2006, 313: 649 doi: 10.1126/science.1130365
37	S. F?lling, A. Widera, T. Müller, F. Gerbier, and I. Bloch, Phys. Rev. Lett. , 2006, 97: 060403 doi: 10.1103/PhysRevLett.97.060403
38	T. L. Ho and Q. Zhou, Phys. Rev. Lett. , 2007, 99: 120404 doi: 10.1103/PhysRevLett.99.120404
39	R. B. Diener, Q. Zhou, H. Zhai, and T. L. Ho, Phys. Rev. Lett ., 2007, 98: 180404 doi: 10.1103/PhysRevLett.98.180404
40	M. Cramer, S. Ospelkaus, C. Ospelkaus, K. Bongs, K. Sengstock, and J. Eisert, Phys. Rev. Lett. , 2008, 100: 140409 doi: 10.1103/PhysRevLett.100.140409
41	E. Fradkin, Field Theories of Condensed Matter Systems, Addison-Wesley Publishing Company , 1991, Chapter 2
42	A. Auerbach ,Interacting Electrons and Quantum Magnetism , New York: Springer-Verlag, 1994, Chapter 3.2 and 4.2
43	A. Georges, arXiv: cond-mat/0702122
44	W. Metzner and D. Vollhardt, Phys. Rev. Lett. , 1989, 62: 324. doi: 10.1103/PhysRevLett.62.324
45	A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. , 1996, 68: 13 doi: 10.1103/RevModPhys.68.13
46	M. Jarrell, Phys. Rev. Lett. , 1992, 69: 168 doi: 10.1103/PhysRevLett.69.168
47	W. Kai and H. Zhai, Phys. Rev. B , 2008, 77: 174431 doi: 10.1103/PhysRevB.77.174431
48	M K¨ohl, H. Moritz, T. St¨oferle, K. G¨unter, and T. Esslinger, Phys. Rev. Lett. , 2005, 94: 080403 doi: 10.1103/PhysRevLett.94.080403
49	T. Busch, B. Englert, K. Rza′zewski, and M. Wilkens, Foundations of Physics , 1998, 28: 549 doi: 10.1023/A:1018705520999
50	R. B. Diener and T. L. Ho, Phys. Rev. Lett. , 2006, 96: 010402 doi: 10.1103/PhysRevLett.96.010402
51	J. K. Chin, D. E. Miller, Y. Liu, C. Stan, W. Setiawan, C. Sanner, K. Xu, and W. Ketterle, Nature , 2006, 961: 443
52	H. Zhai and T. L. Ho, Phys. Rev. Lett. , 2007, 99: 100402 doi: 10.1103/PhysRevLett.99.100402
53	T. L. Ho, Phys. Rev. Lett. , 2001, 87: 060403 doi: 10.1103/PhysRevLett.87.060403
54	G. Watanabe, G. Baym, and C. J. Pethick, Phys. Rev. Lett. , 2004, 93: 190401 doi: 10.1103/PhysRevLett.93.190401
55	V. Schweikhard, I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, Phys. Rev. Lett. , 2004, 92: 040404 doi: 10.1103/PhysRevLett.92.040404
56	I. Coddington, P. C. Haljan, P. Engels, V. Schweikhard, S. Tung, and E. A. Cornell, Phys. Rev. A , 2004, 70: 063607 doi: 10.1103/PhysRevA.70.063607
57	A. L. Fetter, arXiv: cond-mat/0801.2952
58	E. J. Mueller and T. L. Ho, Phys. Rev. Lett. , 2002, 88: 180403 doi: 10.1103/PhysRevLett.88.180403
59	V. Schweikhard, I. Coddington, P. Engels, S. Tung, and E. A. Cornell, Phys. Rev. Lett. , 2004, 93: 210403 doi: 10.1103/PhysRevLett.93.210403
60	A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. , 2005, 94: 160401 doi: 10.1103/PhysRevLett.94.160401
61	J. Werner, A. Griesmaier, S. Hensler, J. Stuhler, T. Pfau, A. Simoni, and E. Tiesinga, Phys. Rev. Lett. , 2005, 94: 183201 doi: 10.1103/PhysRevLett.94.183201
62	T. Koch, T. Lahaye, J. Metz, B. FrAhlich, A. Griesmaier, and T. Pfau, Nature Physics , 2008, 4: 218 doi: 10.1038/nphys887
63	J. Zhang and H. Zhai, Phys. Rev. Lett. , 2005, 95: 200403 doi: 10.1103/PhysRevLett.95.200403
64	N. R. Cooper, E. H. Rezayi, and S. H. Simon, Phys. Rev. Lett. , 2005, 95: 200402 doi: 10.1103/PhysRevLett.95.200402
65	T. L. Ho and C. V. Ciobanu, Phys. Rev. Lett. , 2000, 85: 4648 doi: 10.1103/PhysRevLett.85.4648
66	D. R. Hofstadter, Phys. Rev. B , 1976, 14: 2239 doi: 10.1103/PhysRevB.14.2239
67	D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Phys. Rev. Lett. , 1982, 49: 405 doi: 10.1103/PhysRevLett.49.405
68	R. O. Umucallar, H. Zhai, and M. ?. Oktel, Phys. Rev. Lett. , 2008, 100: 070402 doi: 10.1103/PhysRevLett.100.070402
69	M. W. Zwierlein, J. R. Abo-Shaeer, A. Schirotzek, C. H. Schunck, and W. Ketterle, Nature , 435: 1047 doi: 10.1038/nature03858
70	H. Zhai and T. L. Ho, Phys. Rev. Lett. , 2006, 97: 180414 doi: 10.1103/PhysRevLett.97.180414
71	M. Y. Veillette, D. E. Sheehy, L. Radzihovsky, and V. Gurarie, Phys. Rev. Lett. , 2006, 97: 250401 doi: 10.1103/PhysRevLett.97.250401
72	N. R. Cooper, N. K. Wilkin, and J. M. Gunn, Phys. Rev. Lett. , 2001, 87: 120405 doi: 10.1103/PhysRevLett.87.120405
73	K. Yang and H. Zhai, Phys. Rev. Lett. , 2008, 100: 030404 doi: 10.1103/PhysRevLett.100.030404

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