Complex Properties of Disordered Quantum Systems

该奖项支持经典和量子复杂系统的计算和理论研究。PI将研究量子复杂系统及其经典类似物，目的是阐明它们之间的关系。研究的重点是了解二维+J/-J edward - anderson自旋玻璃模型在引入量子力学隧穿后低能态的变化。PI将利用一种计算算法来找到经典模型的所有基态，以便在小隧道振幅的限制下，计算出比其他方法计算出的大得多的系统尺寸的精确量子特征态。初步结果表明，量子基态具有复杂而丰富的结构，将在本文的研究中进一步阐明。该方法也被用于比较量子隧穿效应与其他（经典）物理扰动的影响，例如耦合到可变形晶格。该奖项支持经典和量子复杂系统的计算和理论研究和教育。PI将使用自旋玻璃模型来研究量子复杂系统与其经典类似物之间的关系。这项工作对统计力学和凝聚态物理领域具有重要的基础意义。它还有助于控制和操纵量子力学状态；这种能力可能对信息和通信技术产生长期影响

This award supports computational and theoretical research on classical and quantum complex systems. The PI will study quantum complex systems and their classical analogs with an aim to elucidate the relationship between them. Research will focus on understanding how the low energy states of the two-dimensional +J/-J Edwards-Anderson spin glass model change when quantum-mechanical tunneling is introduced. The PI will exploit a computational algorithm developed to find all the ground states of the classical model to enable the calculation of exact quantum eigenstates of much larger system sizes than can be computed by other methods, in the limit of small tunneling amplitudes. Preliminary results reveal that the quantum ground states have a complex and rich structure that will be elucidated further in the proposed research. The method is also being used to compare the effects of quantum tunneling to other (classical) physical perturbations, such as coupling to a deformable lattice.%%%This award supports computational and theoretical research and education on classical and quantum complex systems. The PI will use a model of a spin glass to study the relationship between quantum complex systems and their classical analogs. This work is of fundamental importance to the fields of statistical mechanics and condensed matter physics. It also contributes to efforts to control and manipulate quantum mechanical states; such a capability may have long term impact on information and communication technologies.***