Adiabatic Nonlinear Probes of One-Dimensional Bose Gases

被引：35

作者：

De Grandi, C. ^{[1
]}

Barankov, R. A. ^{[1
]}

Polkovnikov, A. ^{[1
]}

机构：

[1] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.101.230402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss two complimentary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon model. This mapping allows us to find power-law scalings for the number of excitations with the ramping rate in the regime where the conventional linear response approach fails. We show that the exponent of this power law is sensitive to the interaction strength. In particular, the response is larger, or less adiabatic, for strongly (weakly) interacting bosons for the loading (merging) problem. Our results illustrate that in general the nonlinear response to slow relevant perturbations can be a powerful tool for characterizing properties of interacting systems.

引用

页数：4

共 35 条

[1] Optimal nonlinear passage through a quantum critical point [J].