Veness Thomas, Essler Fabian H L, Fisher Matthew P A
The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK.
The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, UK
Philos Trans A Math Phys Eng Sci. 2017 Dec 13;375(2108). doi: 10.1098/rsta.2016.0433.
We investigate the implications of integrability for the existence of quantum disentangled liquid (QDL) states in the half-filled one-dimensional Hubbard model. We argue that there exist finite energy-density eigenstates that exhibit QDL behaviour in the sense of Grover & Fisher (2014 , P10010. (doi:10.1088/1742-5468/2014/10/P10010)). These states are atypical in the sense that their entropy density is smaller than that of thermal states at the same energy density. Furthermore, we show that thermal states in a particular temperature window exhibit a weaker form of the QDL property, in agreement with recent results obtained by strong-coupling expansion methods in Veness (2016 (http://arxiv.org/abs/1611.02075)).This article is part of the themed issue 'Breakdown of ergodicity in quantum systems: from solids to synthetic matter'.
我们研究了可积性对半填充一维哈伯德模型中量子解纠缠液体（QDL）态存在性的影响。我们认为，存在有限能量密度本征态，其在格罗弗和费舍尔（2014年，P10010。（doi:10.1088/1742 - 5468/2014/10/P10010））的意义上表现出QDL行为。这些态是非典型的，因为它们的熵密度低于相同能量密度下热态的熵密度。此外，我们表明，在特定温度窗口内的热态表现出较弱形式的QDL特性，这与维内斯（2016年（http://arxiv.org/abs/1611.02075））通过强耦合展开方法获得的最新结果一致。本文是主题为“量子系统中遍历性的崩溃：从固体到合成物质”的特刊的一部分。
