Off-diagonal correlations of the Calogero-Sutherland model

被引:32
作者
Astrakharchik, G. E. [1 ]
Gangardt, D. M.
Lozovik, Yu. E.
Sorokin, I. A.
机构
[1] Univ Trent, Dipartimento Fis, I-38050 Trento, Italy
[2] BEC, INFM, I-38050 Trento, Italy
[3] Inst Spect, Moscow 142190, Russia
[4] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
来源
PHYSICAL REVIEW E | 2006年 / 74卷 / 02期
关键词
D O I
10.1103/PhysRevE.74.021105
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study correlation functions of the Calogero-Sutherland model in the whole range of the interaction parameter. Using the replica method we obtain analytical expressions for the long-distance asymptotics of the one-body density matrix in addition to the previously derived asymptotics of the pair-distribution function [D.M. Gangardt and A. Kamenev, Nucl. Phys. B 610, 578 (2001)]. The leading analytic and nonanalytic terms in the short-distance expansion of the one-body density matrix are discussed. Numerical results for these correlation functions are obtained using Monte Carlo techniques for all distances. The momentum distribution and static structure factor are calculated. The potential and kinetic energies are obtained using the Hellmann-Feynman theorem. Perfect agreement is found between the analytical expressions and numerical data. These results allow for the description of physical regimes of the Calogero-Sutherland model. The zero temperature phase diagram is found to be of a crossover type and includes quasicondensation, quasicrystallization and quasisupersolid regimes.
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页数:14
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