Dynamical density-density correlations in the one-dimensional Bose gas

被引:148
作者
Caux, Jean-Sebastien [1 ]
Calabrese, Pasquale [1 ]
机构
[1] Univ Amsterdam, Inst Theoret Phys, NL-1018 XE Amsterdam, Netherlands
来源
PHYSICAL REVIEW A | 2006年 / 74卷 / 03期
关键词
D O I
10.1103/PhysRevA.74.031605
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed as a function of momentum and frequency using a hybrid theoretical/numerical method based on the exact Bethe-ansatz solution. This allows one to interpolate continuously between the weakly coupled Thomas-Fermi and strongly coupled Tonks-Girardeau regimes. The results should be experimentally accessible with Bragg spectroscopy.
引用
收藏
页数:4
相关论文
共 39 条
[1]   Motion of a heavy impurity through a Bose-Einstein condensate [J].
Astrakharchik, GE ;
Pitaevskii, LP .
PHYSICAL REVIEW A, 2004, 70 (01) :013608-1
[2]   Correlation functions and momentum distribution of one-dimensional Bose systems [J].
Astrakharchik, GE ;
Giorgini, S .
PHYSICAL REVIEW A, 2003, 68 (03) :4
[3]   Dynamic response of trapped ultracold bosons on optical lattices [J].
Batrouni, GG ;
Assaad, FF ;
Scalettar, RT ;
Denteneer, PJH .
PHYSICAL REVIEW A, 2005, 72 (03)
[4]   TIME-DEPENDENT MULTIPOINT CORRELATION-FUNCTIONS OF THE NONLINEAR SCHRODINGER MODEL [J].
BERKOVICH, A ;
MURTHY, G .
PHYSICS LETTERS A, 1989, 142 (2-3) :121-127
[5]   Dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit [J].
Brand, J ;
Cherny, AY .
PHYSICAL REVIEW A, 2005, 72 (03)
[6]   PSEUDOPARTICLE-OPERATOR DESCRIPTION OF AN INTERACTING BOSONIC GAS [J].
CASTRO NETO, AH ;
LIN, HQ ;
CHEN, YH ;
CARMELO, JMP .
PHYSICAL REVIEW B, 1994, 50 (19) :14032-14047
[7]   Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime [J].
Caux, JS ;
Hagemans, R ;
Maillet, JM .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :83-102
[8]   Computation of dynamical correlation functions of Heisenberg chains in a magnetic field [J].
Caux, JS ;
Maillet, JM .
PHYSICAL REVIEW LETTERS, 2005, 95 (07)
[9]   Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures [J].
Cherny, AY ;
Brand, J .
PHYSICAL REVIEW A, 2006, 73 (02)
[10]   Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images [J].
Duan, LM .
PHYSICAL REVIEW LETTERS, 2006, 96 (10)