论文标题

使用多层多配合方法探索无序的量子自旋模型

Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach

论文作者

Köhler, Fabian, Mukherjee, Rick, Schmelcher, Peter

论文摘要

量子自旋模型的数值模拟对于对物理学各种研究领域的多体现象的深刻了解至关重要。一个杰出的问题是解决违反纠缠熵区域法的系统的方法。这种情况涵盖了各种引人入胜的物理情况,包括无序量子自旋系统。在这项工作中,我们采用了一种数值技术,称为多层多配置时间依赖性Hartree(ML-MCTDH)来评估几种无序旋转模型的基态。 ML-MCTDH先前已被用于研究分子和超低物理学高维量子动力学问题,但此处首次应用于研究自旋系统。我们利用该方法的固有灵活性在一个空间维度和两个空间维度中提出结果,并处理融合了远距离相互作用和混乱的具有挑战性的设置。我们的结果表明,ML-MCTDH固有的分层多层层允许解决各种量子多体问题,例如不同维度的自旋动力学。

Numerical simulations of quantum spin models are crucial for a profound understanding of many-body phenomena in a variety of research areas in physics. An outstanding problem is the availability of methods to tackle systems that violate area-laws of entanglement entropy. Such scenarios cover a wide range of compelling physical situations including disordered quantum spin systems among others. In this work, we employ a numerical technique referred to as multi-layer multi-configuration time-dependent Hartree (ML-MCTDH) to evaluate the ground state of several disordered spin models. ML-MCTDH has previously been used to study problems of high-dimensional quantum dynamics in molecular and ultracold physics but is here applied to study spin systems for the first time. We exploit the inherent flexibility of the method to present results in one and two spatial dimensions and treat challenging setups that incorporate long-range interactions as well as disorder. Our results suggest that the hierarchical multi-layering inherent to ML-MCTDH allows to tackle a wide range of quantum many-body problems such as spin dynamics of varying dimensionality.

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