arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0804.4003cond-mat.other
收藏

一维玻色气体的绝热非线性探针

Adiabatic nonlinear probes of one-dimensional Bose gases

C. De Grandi, R. A. Barankov, A. Polkovnikov

摘要:

我们讨论了两个互补的问题:一维玻色子绝热加载到光晶格和合并两个一维玻色系统。这两个问题都可以映射到sine-Gordon模型。这种映射使我们能够找到幂律缩放的激励与斜坡率的制度,传统的线性响应方法失败的数量。我们发现,这个幂律的指数是敏感的相互作用强度。特别是,对于强(弱)相互作用玻色子的加载(合并)问题,响应更大,或绝热性更低。我们的研究结果表明,在一般的非线性响应慢相关扰动可以是一个强大的工具,用于表征相互作用系统的性能。

英文摘要:

We discuss two complementary 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑