Complex Networks on Quantum States in AMO Platforms

AMO 平台中量子态的复杂网络

• 批准号: 1806372
• 负责人: Lincoln Carr
• 金额: $ 27万
• 依托单位: Colorado School of Mines
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-01 至 2022-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1806372&HistoricalAwards=false
• 关键词: Complex; Networks; Quantum; States; AMO

Complexity science is one of the deep outstanding problems of the 21st century. What are the origins of complexity generally? Does it appear at the quantum level? If so, how can it be quantified and what exactly does it imply? This work will address these questions in three concrete experimental contexts in quantum simulator platforms, promoting national interests through the progress of science. This work will expand atomic, molecular, and optical physics and quantum information science further into complexity science, providing a concrete way to quantify complexity of quantum states. It will provide an interdisciplinary connection to statistical physics and complex network science, applied up till now mainly at the classical level. The semiconductor technological revolution is based heavily on single-particle quantum mechanics, from band theory to quantum tunneling; the next step in quantum technology will certainly involve entanglement. This proposal will explore complexity science as a key component of that next revolution, by determining the complexity of entanglement.This team will explore the complexity of quantum critical phenomena by applying complex network measures to quantum mutual information, bounded from below by all two-point correlators. What is the role of finite temperature and disorder in complexity? How does complexity depend on different universality classes? Second, this team will study the emergence of complexity in quantum cellular automata, in particular in Goldilocks rules, which exhibit robust dynamical features and persistent entropy fluctuations. What are the dynamical properties of complexity? Does it decohere easily? How sensitive is it to gate fidelity in quantum operations, or precision of a Hamiltonian realized in a quantum simulator? Third, this team will apply complex network measures to higher order phase correlators in atom interferometry. Does complexity depend on the order of the correlator? What new features might be unlocked in the high-dimensional spaces of such correlators with a complexity perspective? Moreover, this grant supports the training of undergraduate and graduate students in critical analysis for scientific problem solving and rigorous numerical techniques for high-performance parallel computing, which are key to success in a number of arenas in society, from the materials genome initiative to the space program to quantum computing and the next stage of quantum technology.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

复杂性科学是21世纪世纪的重大问题之一。 一般来说，复杂性的起源是什么？ 它是否出现在量子层面上？ 如果是，如何量化，它到底意味着什么？ 这项工作将在量子模拟器平台的三个具体实验环境中解决这些问题，通过科学进步促进国家利益。 这项工作将把原子、分子、光学物理和量子信息科学进一步扩展到复杂性科学，提供了量化量子态复杂性的具体方法。 它将为统计物理学和复杂网络科学提供一个跨学科的连接，到目前为止主要应用于经典水平。 半导体技术革命在很大程度上基于单粒子量子力学，从能带理论到量子隧穿;量子技术的下一步肯定会涉及纠缠。 该计划将通过确定纠缠的复杂性来探索作为下一次革命的关键组成部分的复杂性科学。该团队将通过将复杂网络测量应用于量子互信息来探索量子临界现象的复杂性，从下面开始由所有两点量子化器限制。 有限温度和无序在复杂性中的作用是什么？ 复杂性如何依赖于不同的普适性类？ 其次，该团队将研究量子细胞自动机中复杂性的出现，特别是在Goldilocks规则中，它表现出强大的动力学特征和持续的熵波动。 复杂性的动力学特性是什么？ 它容易退散吗？ 它对量子操作中的门保真度或量子模拟器中实现的哈密顿量的精度有多敏感？ 第三，这个团队将把复杂网络的测量应用于原子干涉测量中的高阶相位补偿器。 复杂度取决于相关器的阶数吗？ 从复杂性的角度来看，在这种分解器的高维空间中可能会释放出哪些新的特征？ 此外，该补助金支持本科生和研究生在科学问题解决的批判性分析和高性能并行计算的严格数值技术方面的培训，这是在社会许多领域取得成功的关键，从材料基因组计划到太空计划，再到量子计算和量子技术的下一阶段。该奖项反映了NSF的法定使命，通过使用基金会的知识价值和更广泛的影响审查标准进行评估，

项目成果

Layered chaos in mean-field and quantum many-body dynamics

平均场和量子多体动力学中的分层混沌

• DOI: 10.1103/physreva.99.063609
• 发表时间: 2019
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Valdez, Marc Andrew;Shchedrin, Gavriil;Sols, Fernando;Carr, Lincoln D.
• 通讯作者: Carr, Lincoln D.

Scattering of a dark–bright soliton by an impurity

杂质对暗-亮孤子的散射

• DOI: 10.1088/1361-6455/ab2cfb
• 发表时间: 2019
• 期刊: Molecular and Optical Physics
• 作者: Alotaibi, Majed O;Carr, Lincoln D
• 通讯作者: Carr, Lincoln D

Thermalization in the quantum Ising model—approximations, limits, and beyond

• DOI: 10.1088/2058-9565/ab1a71
• 发表时间: 2018-05
• 期刊: Quantum Science and Technology
• 影响因子: 6.7
• 作者: Daniel Jaschke;L. Carr;I. de Vega

Spontaneous Exact Spin-Wave Fractals in Magnonic Crystals.

• DOI: 10.1103/physrevlett.121.107204
• 发表时间: 2018-05
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: D. Richardson;B. Kalinikos;L. Carr;Mingzhong Wu

Complex-network description of thermal quantum states in the Ising spin chain

伊辛自旋链中热量子态的复杂网络描述

• DOI: 10.1103/physreva.97.052320
• 发表时间: 2018
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Sundar, Bhuvanesh;Valdez, Marc Andrew;Carr, Lincoln D.;Hazzard, Kaden R. A.
• 通讯作者: Hazzard, Kaden R. A.