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arXiv 2301.07720cond-mat.quant-gascond-mat.str-elhep-latquant-ph
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含动力学物质的$2+1$ D格点规范理论中的无无序定域

Disorder-Free Localization in $2+1$D Lattice Gauge Theories with Dynamical Matter

Jesse Osborne, Ian P. McCulloch, Jad C. Halimeh

摘要:

无无序局域化(Disorder-free localization,DFL)是$1+1$ D格点规范理论(LGT)中的一种强遍历性破缺机制.然而,在动力学物质的存在下,$2+1$ D中DFL的命运迄今为止仍然是一个悬而未决的问题,在更高的空间维度中,猝灭无序多体局域化的不稳定性引起了极大的兴趣。使用无限矩阵产品状态计算,我们表明,DFL生存在$2+1$ D LGT,虽然它通常是不太明显,比在$1+1$ D,并高度依赖于初始状态的物质配置。通过适当的物质配置,我们能够联系和比较$1+1$ D和$2+1$ D的情况下,表明在我们的设置中的DFL的强度的主要成分是物质的\textit{propagation directionality}。我们的研究结果表明,一般来说,DFL是削弱与增加空间维度,虽然它可以独立于后者通过最小化的传播方向性的物质在初始状态。

英文摘要:

Disorder-free localization (DFL) has been established as a mechanism of strong ergodicity breaking in $1+1$D lattice gauge theories (LGTs) with dynamical matter for quenches starting in homogeneous initial states that span an extensive number of gauge superselection sectors. Nevertheless, the fate of DFL in $2+1$D in the presence of dynamical matter has hitherto remained an open question of great interest in light of the instability of quenched-disorder many-body localization in higher spatial dimensions. Using infinite matrix product state calculations, we show that DFL survives in $2+1$D LGTs, albeit it is generally less pronounced than in $1+1$D, and highly depends on the matter configuration of the initial state. Through suitable matter configurations, we are able to relate and compare the $1+1$D and $2+1$D cases, showing that the main ingredient for the strength of DFL in our setup is the \textit{propagation directionality} of matter. Our results suggest that, generically, DFL is weakened with increasing spatial dimension, although it can be made independent of the latter by minimizing the propagation directionality of matter in the initial state.

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。

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