Hybrid Approach to Non-Equilibrium Control Over Phases of Matter

物质相非平衡控制的混合方法

• 批准号: 508440990
• 负责人: Professor Dr. Christoph Karrasch
• 金额: --
• 依托单位: Institut für Mathematische Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/508440990?language=en
• 关键词: Hybrid; Approach; Non; Equilibrium; Control

Our goal is to establish a multi-method approach to non-equilibrium control over many-body phases of matter. Most importantly, we will employ low-entanglement techniques (tensor networks) as well as renormalization-group enhanced field-theoretical tools (functional RG), which we will push further into the non-equilibrium realm. Our specific focus is on periodic driving (Floquet engineering) as well as on treating the light-matter coupling in a cavity (cavitronics). Both are promising candidates to obtain a more flexible control over quantum many-body systems and to unveil true non-equilibrium phenomena. The two projects of this proposal are methodologically separated but interface at the underlying physical problems, and we aim at providing an inroad into Floquet engineering, cavitronics, and other related phenomena from two complementary angles. We believe that such a multi-method approach will be fruitful to deepen our theoretical understanding. This holds especially true for two-dimensional systems, which are particularly challenging. One of our long-term goals it to develop a novel tool that builds on the dynamical mean field theory and that adds another angle to our multi-method tool belt.

我们的目标是建立一种多方法的方法来控制物质的多体相的非平衡。最重要的是，我们将采用低纠缠技术（张量网络）以及重整化群增强场论工具（泛函RG），我们将进一步推动其进入非平衡领域。我们的重点是周期性驱动（Floquet工程）以及处理腔中的光-物质耦合（空腔电子学）。两者都有望获得对量子多体系统的更灵活的控制，并揭示真正的非平衡现象。本提案的两个项目在方法上是分开的，但在潜在的物理问题上是相互联系的，我们的目标是从两个互补的角度切入Floquet工程、空泡电子学和其他相关现象。我们相信，这种多方法的方法将有助于加深我们的理论认识。这对于具有挑战性的二维系统尤其适用。我们的长期目标之一是开发一种基于动态平均场理论的新工具，为我们的多方法工具带增加另一个角度。