论文标题

量子Sherrington-Kirkpatrick模型的基态差异ANSATZ

A Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model

论文作者

Schindler, Paul M., Guaita, Tommaso, Shi, Tao, Demler, Eugene, Cirac, J. Ignacio

论文摘要

我们为量子Sherrington-Kirkpatrick模型的基态提供了一个ANSATZ,这是一种用于量子自旋玻璃的范式模型。基于广义相干状态的概念,我们的ANSATZ很好地捕捉了模型的基本方面,包括基态能量和自旋玻璃相变的位置。它进一步使我们能够研究一些以前未开发的特征,例如非变化的纵向野外状态和基态的纠缠结构。我们发现,基态纠缠可以由具有正态分布的相位门的简单加权图状态的合奏捕获,从而导致数量法纠缠,与基于纠缠一夫一妻制的预测形成鲜明对比。

We present an ansatz for the ground states of the Quantum Sherrington-Kirkpatrick model, a paradigmatic model for quantum spin glasses. Our ansatz, based on the concept of generalized coherent states, very well captures the fundamental aspects of the model, including the ground state energy and the position of the spin glass phase transition. It further enables us to study some previously unexplored features, such as the non-vanishing longitudinal field regime and the entanglement structure of the ground states. We find that the ground state entanglement can be captured by a simple ensemble of weighted graph states with normally distributed phase gates, leading to a volume law entanglement, contrasting with predictions based on entanglement monogamy.

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