Entropy perspective on the thermal crossover in a fermionic Hubbard chain
Entropy perspective on the thermal crossover in a fermionic Hubbard chain
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费米子哈伯德链中热交叉的熵视角
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Lauchli
中科院分区：
文献类型：
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作者：
L. Bonnes;H. Pichler;A. Lauchli
我们使用量子蒙特卡罗研究哈伯德链有限温度交叉区域中的 Renyi 熵。基态熵具有一些特征，例如块大小的对数散度和 $2{k}_{mathrm{F}}$ 振荡，这是其 Luttinger 液体性质的标志。研究了（广泛的）热熵和基态特征之间的相互作用，并分析了温度引起的振荡幅度的衰减以及纯度的缩放。此外，我们展示了如何从 Renyi 熵的温度依赖性中提取自旋和电荷速度，将我们的发现与最近关于如何在冷原子系统中实现 Renyi 熵的测量的实验建议联系起来。通过研究 Renyi 互信息，我们还证明了粒子数守恒等约束如何在高温下诱导互信息中可见的持久相关性。
We study the Renyi entropy in the finite-temperature crossover regime of a Hubbard chain using quantum Monte Carlo. The ground-state entropy has characteristic features such as a logarithmic divergence with block size and $2{k}_{mathrm{F}}$ oscillations that are a hallmark of its Luttinger liquid nature. The interplay between the (extensive) thermal entropy and the ground-state features is studied and we analyze the temperature-induced decay of the amplitude of the oscillations as well as the scaling of the purity. Furthermore, we show how the spin and charge velocities can be extracted from the temperature dependence of the Renyi entropy, bridging our findings to recent experimental proposals on how to implement the measurement of Renyi entropies in the cold atom system. Studying the Renyi mutual information, we also demonstrate how constraints such as particle number conservation can induce persistent correlations visible in the mutual information even at high temperature.
DOI：
10.1088/1742-5468/2011/11/p11020
发表时间：
2011-04
期刊：
Journal of Statistical Mechanics: Theory and Experiment
影响因子：
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作者：
D. Muth
通讯作者：
D. Muth