Mathematical Challenges in Many-Body Physics and Quantum Information: CRM Thematic Program.

多体物理和量子信息中的数学挑战：CRM 主题计划。

• 批准号: 1813177
• 负责人: Bruno Nachtergaele
• 金额: $ 2.1万
• 依托单位: University of California-Davis
• 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: 2018-07-01 至 2019-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1813177&HistoricalAwards=false
• 关键词: Mathematical; Challenges; Many; Body; Physics

The Centre de Recherches Mathématiques (CRM, Montreal, Canada) is organizing a Thematic Semester on "Mathematical Challenges in Many-Body Physics and Quantum Information" during September-December 2018 (http://www.crm.umontreal.ca/Quantum2018/index.php/). The purpose of this project is to support the participation of junior researchers from US institutions in the first two workshops of the program: 1) Many-Body Quantum Mechanics (September 10-14, 2018) and 2) Entanglement, Integrability and Topology in Many-Body Systems (September 17-21, 2018). Participants to the workshops will also have the opportunity to interact with the approximately 20 junior and senior researchers who will be in residence at the CRM for an extended period during the program. The goal is to accelerate progress in the mathematical foundations and techniques of the emerging new directions in quantum science and technology and to attract young talent to this exciting endeavor as well as to better equip them for successful research in this area. In this way, the project will contribute to realizing "The Quantum Leap: Leading the Next Quantum Revolution," one of the NSF's 10 Big Ideas.The first workshop is on the general topic of many-body quantum mechanics. Researchers working on different questions related to many-body quantum mechanics will discuss recent developments, exchange ideas and propose new challenges and research directions such as: i) the derivation of effective equations, ii) disordered many body systems, iii) open quantum systems in and out of equilibrium, and iv) quantum spin systems. The second workshop is devoted to entanglement, integrability, and topology in many body systems. Its main motivation is the exploration of concepts related to entanglement that have emerged as an important theoretical tool in tackling one of the central goals of condensed matter physics: the understanding and characterization of phase transitions.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.

加拿大蒙特利尔数学研究中心将于2018年9月至12月在(http://www.crm.umontreal.ca/Quantum2018/index.php/).组织一个主题为“多体物理和量子信息中的数学挑战”的学期该项目旨在支持来自美国机构的初级研究人员参与该计划的前两个研讨会：1)多体量子力学(2018年9月10-14日)和2)多体系统中的纠缠、可积性和拓扑学(2018年9月17-21日)。研讨会的参与者还将有机会与大约20名初级和高级研究人员互动，他们将在项目期间较长时间驻扎在客户关系管理中心。其目标是加快量子科学和技术新兴新方向的数学基础和技术方面的进展，吸引年轻人才参与这一令人兴奋的努力，并为他们在这一领域的成功研究更好地装备他们。这样，该项目将为实现美国国家科学基金会十大构想之一的“量子飞跃：领导下一次量子革命”做出贡献。第一个研讨会是关于多体量子力学的一般主题。研究与多体量子力学相关的不同问题的研究人员将讨论最近的发展，交流思想，并提出新的挑战和研究方向，如：i)有效方程的推导，ii)无序多体系统，iii)处于和不平衡状态的开放量子系统，以及iv)量子自旋系统。第二个工作坊致力于许多物体系统的纠缠、可积性和拓扑学。它的主要动机是探索与纠缠相关的概念，这些概念已经成为解决凝聚态物理的核心目标之一：相变的理解和表征的重要理论工具。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。