Composite-fermionization of the mixture composed of Tonks gas and Fermi gas

doi:10.1088/1674-1056/20/6/060307

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60307-060307.doi: 10.1088/1674-1056/20/6/060307

Composite-fermionization of the mixture composed of Tonks gas and Fermi gas

郝亚江

Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2010-09-20 修回日期:2011-01-21 出版日期:2011-06-15 发布日期:2011-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research Funds for the Central Universities.

Composite-fermionization of the mixture composed of Tonks gas and Fermi gas

Hao Ya-Jiang(郝亚江)^†

Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2010-09-20 Revised:2011-01-21 Online:2011-06-15 Published:2011-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research Funds for the Central Universities.

摘要/Abstract

摘要： This paper investigates the ground-state properties of the mixture composed of the strongly interacting Tonks-Girardeau gas and spin polarized Fermi gas confined in one-dimensional harmonic traps, where the interaction between the Bose atoms and Fermi atoms is tunable. With a generalized Bose-Fermi transformation the mixture is mapped into a two-component Fermi gas. The homogeneous Fermi gas is exactly solvable by the Bethe-ansatz method and the ground state energy density can be obtained. Combining the ground-state energy function of the homogeneous system with local density approximation it obtains the ground-state density distributions of inhomogeneous mixture. It is shown that with the increase in boson-fermion interaction, the system exhibits composite-fermionization crossover.

Abstract: This paper investigates the ground-state properties of the mixture composed of the strongly interacting Tonks-Girardeau gas and spin polarized Fermi gas confined in one-dimensional harmonic traps, where the interaction between the Bose atoms and Fermi atoms is tunable. With a generalized Bose-Fermi transformation the mixture is mapped into a two-component Fermi gas. The homogeneous Fermi gas is exactly solvable by the Bethe-ansatz method and the ground state energy density can be obtained. Combining the ground-state energy function of the homogeneous system with local density approximation it obtains the ground-state density distributions of inhomogeneous mixture. It is shown that with the increase in boson-fermion interaction, the system exhibits composite-fermionization crossover.

Key words: one-dimensional, Tonks-Fermi mixture, composite-fermionization

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties) 67.85.-d (Ultracold gases, trapped gases)

郝亚江. Composite-fermionization of the mixture composed of Tonks gas and Fermi gas[J]. 中国物理B, 2011, 20(6): 60307-060307.

Hao Ya-Jiang(郝亚江). Composite-fermionization of the mixture composed of Tonks gas and Fermi gas[J]. Chin. Phys. B, 2011, 20(6): 60307-060307.

参考文献 47

[1]	Stöferle T, Moritz H, Schori C, Köhl M and Esslinger T 2004 Phys. Rev. Lett. 92 130403
[2]	Paredes B, Widera A, Murg V, Mandel Q, Fölling S, Cirac I, Shlyapnikov G V, Hänsch T W and Bloch I 2004 Nature 429 277
[3]	Kinoshita T, Wenger T and Weiss D S 2004 Science 305 1125
[4]	Ho T L and Shenoy V B 1996 Phys. Rev. Lett. 77 3276
[5]	Ao P and Chui S T 1998 Phys. Rev. A 58 4836
[6]	Pu H and Bigelow N P 1998 Phys. Rev. Lett. 80 1130
[7]	Cazalilla M A and Ho A F 2003 Phys. Rev. Lett. 91 150403
[8]	Zhou L, Qian J, Pu H, Zhang W and Ling H Y 2008 Phys. Rev. A 78 053612
[9]	Imambekov A and Demler E 2006 Phys. Rev. A 73 021602(R)
[10]	Imambekov A and Demler E 2006 Ann. Phys. (N.Y.) 321 2390
[11]	Chen S and Egger R 2003 Phys. Rev. A 68 063605
[12]	Molmer K 1998 Phys. Rev. Lett. 80 1804
[13]	Guan X W, Batchelor M T and Lee J Y 2008 Phys. Rev. A 78 023621
[14]	Frahm H and Palacios G 2005 Phys. Rev. A 72 061604(R)
[15]	Yin X, Chen S and Zhang Y 2009 Phys. Rev. A 79 053604
[16]	Myatt C J, Burt E A, Ghrist R W, Cornell E A and Wieman C E 1997 Phys. Rev. Lett. 78 586
[17]	Modugno G, Ferrari G, Roati G, Brecha R G, Simoni A and Inguscio M 2001 Science 294 1320
[18]	Ospelkaus C, Ospelkaus S, Humbert L, Ernst P, Sengstock K and Bongs K 2006 it Phys. Rev. Lett. 97 120402
[19]	Thalhammer G, Barontini G, De Sarlo L, Catani J, Minardi F and Inguscio M 2008 Phys. Rev. Lett. 100 210402
[20]	Papp S B, Pino J M and Wieman C E 2008 Phys. Rev. Lett. 101 040402
[21]	Schreck F, Khaykovich L, Corwin K L, Ferrari G, Bourdel T, Cubizolles J and Salomon C 2001 Phys. Rev. Lett.87 080403
[22]	Hadzibabic Z, Stan C A, Dieckmann K, Gupta S, Zwierlein M W, Gorlitz A and Ketterle W 2002 Phys. Rev. Lett.88 160401
[23]	Dunjko V, Lorent V and Olshanii M 2001 Phys. Rev. Lett. 86 5413
[24]	Guan L, Chen S, Wang Y and Ma Z Q 2009 Phys. Rev. Lett. 102 160402
[25]	Fuchs J N, Gangardt D M, Keilmann T and Shlyapnikov G V 2005 Phys. Rev. Lett. 95 150402
[26]	Batchelor M T, Bortz M, Guan X W and Oelkers N 2006 J. Stat. Mech. 2006 P03016
[27]	Hao Y, Zhang Y, Liang J Q and Chen S 2006 Phys. Rev. A 73 063617
[28]	Hao Y, Zhang Y, Guan X W and Chen S 2009 Phys. Rev. A 79 033607
[29]	Deuretzbacher F, Bongs K, Sengstock K and Pfannkuche D 2007 Phys. Rev. A 75 013614
[30]	Yin X, Hao Y, Chen S and Zhang Y 2008 Phys. Rev. A 78 013604
[31]	Hao Y and Chen S 2009 Eur. Phys. J. D 51 261
[32]	Girardeau M D and Minguzzi A 2007 Phys. Rev. Lett. 99 230402
[33]	Alexej I Streltsov, Ofir E Alon and Lorenz S Cederbaum 2006 Phys. Rev. A 73 063626
[34]	Hao Y and Chen S 2009 Phys. Rev. A 80 043608
[35]	Hao Y, unpublished
[36]	Girardeau M D 1960 J. Math. Phys. (N.Y.) 1 516
[37]	Girardeau M D 1965 Phys. Rev. 139 B500
[38]	Yang C N 1967 Phys. Rev. Lett. 19 1312
[39]	Gaudin M 1967 Phys. Lett. A 24 55
[40]	Astrakharchik G E, Blume D, Giorgini S and Pitaevskii1 L P 2004 Phys. Rev. Lett. 93 050402
[41]	Magyar R J and Burke K 2004 Phys. Rev. A 70 032508
[42]	Gao X, Polini M, Asgari R and Tosi M P 2006 Phys. Rev. A 73 033609
[43]	Abedinpour S H, Polini M, Gao X and Tosi M P 2007 Phys. Rev. A 75 015602
[44]	Hu H, Liu X J and Drummond P D 2007 Phys. Rev. Lett. 98 070403
[45]	Chen S, Cao J and Gu S J 2009 Europhys. Lett. 85 60004
[46]	Chen S, Cao J and Gu S J 2010 Phys. Rev. A 82 053625
[47]	Zöllner S, Meyer H D and Schmelcher P 2008 Phys. Rev. A 78 013629

Composite-fermionization of the mixture composed of Tonks gas and Fermi gas

Composite-fermionization of the mixture composed of Tonks gas and Fermi gas

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