arXiv 2405.033362024-05-06cond-mat.quant-gascond-mat.supr-conquant-ph

非局域序在一维扩展玻色-哈伯德模型中的基本作用

Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model

Nitya Cuzzuol, Arianna Montorsi

DOI：: 10.1063/5.0206798

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AI总结：

本文通过密度矩阵重整化群分析，揭示偶宇称序、弦序、奇宇称序三类非局域序参量可完整描述填充数为1的一维扩展玻色-哈伯德模型基态相图，为实验观测强关联量子物相提供工具。

摘要：

非局域序参量可捕捉原本无序的量子物质中特定自由度间相关涨落的存在。本文进一步举例说明其基本作用：完全基于非局域序的排序推导填充数为1的一维扩展玻色-哈伯德模型的基态相图。通过密度矩阵重整化群数值分析，我们发现：除了莫特绝缘相特有的（偶）宇称序、霍尔丹绝缘相中不为零的弦序外，近期提出的奇宇称序完善了该图景——它在正常超流到配对超流的相变处不为零。上述三个非局域参量可捕捉所有不同相（包括密度波相，其局域序体现为不同通道中相关涨落的同时存在），为通过局域密度测量实验观测强关联量子物质的完整相图提供了独特工具。

英文摘要：

Nonlocal order parameters capture the presence of correlated fluctuations between specific degrees of freedom, in otherwise disordered quantum matter. Here we provide a further example of their fundamental role, deriving the ground state phase diagram of the filling one extended Bose Hubbard model exclusively in terms of their ordering. By means of a density matrix renormalization group numerical analysis, we show that besides the (even) parity order characteristic of the Mott insulating phase, and the string order non vanishing in the Haldane insulator, the recently proposed odd parity order completes the picture, becoming nonvanishing at the transition from the normal superfluid to the paired superfluid phase. The above three nonlocal parameters capture all the distinct phases, including the density wave phase which local order is seen as the simultaneous presence of correlated fluctuations in different channels. They provide a unique tool for the experimental observation of the full phase diagram of strongly correlated quantum matter, by means of local density measurements.

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