摘要We investigate the ground-state density distributions of interacting one-dimensional Bose gases with anisotropic transversal confinement. Combining the exact ground state energy density of homogeneous Bose gases with local density approximation, we determine the density distribution in each interacting regime for different anisotropic parameters. It is shown that the transversal anisotropic parameter changes the density distribution obviously, and the observed density profiles on each orientation exhibit a difference of a factor.
Abstract:We investigate the ground-state density distributions of interacting one-dimensional Bose gases with anisotropic transversal confinement. Combining the exact ground state energy density of homogeneous Bose gases with local density approximation, we determine the density distribution in each interacting regime for different anisotropic parameters. It is shown that the transversal anisotropic parameter changes the density distribution obviously, and the observed density profiles on each orientation exhibit a difference of a factor.
[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 O, 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] Haller E, Gustavsson M, Mark M J, Danzl J G, Hart R, Pupillo G and Näerl H 2009 Science 325 1224
[5] Haller E, Mark M J, Hart R, Danzl J G, Röllner L, Melezhik V, Schmelcher P and Nägerl H 2010 Phys. Rev. Lett. 104 153203
[6] Hao Y, Zhang Y, Liang J Q and Chen S 2006 Phys. Rev. A 73 063617
[7] Hao Y, Zhang Y and Chen S 2007 Phys. Rev. A 76 063601; 2008 ibid, 78 023631
[8] Hao Y, Zhang Y, Guan X W and Chen S 2009 Phys. Rev. A 79 033607
[9] Hao Y and Chen S 2009 Phys. Rev. A 80 043608
[10] Hao Y 2011 Chin. Phys. Lett. 28 010302
[11] Girardeau M D 1960 J. Math. Phys. (N. Y.) 1 516
Girardeau M D 1965 Phys. Rev. 139 B500
[12] Olshanii M 1998 Phys. Rev. Lett. 81 938
[13] Petrov D S, Shlyapnikov G V and Walraven J T M 2000 Phys. Rev. Lett. 85 3745
[14] Dunjko V, Lorent V and Olshanii M 2001 Phys. Rev. Lett. 86 5413
[15] Minguzzi A, Succi S, Toschi F, Tosi M P, Vignolo P 2004 Phys. Rep. 395 223
[16] Kolomeisky E B, Newman T J, Straley J P and Qi X 2000 Phys. Rev. Lett. 85 1146
[17] Lieb E H, Seiringer R and Yngvason J 2003 Phys. Rev. Lett. 91 150401
[18] Guan L, Chen S, Wang Y and Ma Z Q 2009 Phys. Rev. Lett. 102 160402
[19] Öhberg P and Santos L 2002 Phys. Rev. Lett. 89 240402
[20] Chen S and Egger R 2003 Phys. Rev. A 68 063605
[21] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
[22] Peng S G, Bohloul S S, Liu X J, Hu H and Drummond P D 2010 Phys. Rev. A 82 063633