Hydrodynamic Quantum Analogs: Classical Insight into Quantum Systems

流体动力学量子类似物：量子系统的经典见解

• 批准号: 2154151
• 负责人: John Bush
• 金额: $ 65.15万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-06-01 至 2025-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2154151&HistoricalAwards=false
• 关键词: Hydrodynamic; Quantum; Analogs; Classical; Insight

In 2005, Yves Couder discovered that a milimetric droplet may self-propel along the surface of a vibrating bath through a resonant interaction with its own guiding or ‘pilot’ wave field. Notably, the walking droplet system bears a strong resemblance to the quantum pilot-wave theory researched in the 1920s by Louis de Broglie, who envisaged microscopic particles as oscillators that generate a propulsive pilot-wave field. Remarkably, the walking droplets exhibit many features previously thought to be exclusive to the microscopic, quantum realm. Thus, they have provided the basis for the burgeoning field of hydrodynamic quantum analogs, the goal of which is to demarcate clearly the line between those features of quantum mechanics that can and cannot be understood from a classical perspective. The approach is progressive: the establishment of each new hydrodynamic quantum analog moves this line. Specifically, the walking-droplet system has suggested classical reinterpretations of a number of the most beguiling quantum notions, including wave-particle duality, wave function collapse, superposition of states, orbital quantization, single-particle diffraction and interference, uncertainty and nonlocality. The award supports the PI's integrated experimental and theoretical investigation of hydrodynamic quantum analogs, as will naturally inform the viability of classical pilot-wave dynamics as the basis for a realist quantum theory. The intellectual merit of this research is that it will thus both question and inform the philosophical foundations of modern physics.The award supports the PI's investigations of hydrodynamic quantum analogs, that include the discovery of new analog systems in the laboratory, the theoretical modeling thereof, and critical comparison with the quantum analog of interest. Experimental studies will explore a new class of hydrodynamic quantum analogs on the frontiers of the subject, including superradiant photon emission, particle creation and annihilation, and the Aharanov-Bohm effect. Theoretical developments will be directed towards advancing and exploring a generalized classical pilot-wave framework that captures the key common features of the walking-droplet system and de Broglie’s pilot-wave theory. In addition to providing a platform for exploring a remarkably rich new dynamical system, this classical theoretical framework might ultimately provide a mathematical bridge between models of wave-particle interactions on the macroscopic and microscopic scales. Both experimental and theoretical components of the research will give particular attention to elucidating the manner in which apparently non-local features may arise through local, pilot-wave interactions, with focus on the possibility of achieving non-separable states and entanglement with classical pilot-wave dynamics.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.

2005 年，Yves Couder 发现毫米级液滴可以通过与其自身的引导波场或“导频”波场的共振相互作用沿着振动浴的表面自我推进。值得注意的是，行走的液滴系统与 Louis de Broglie 在 20 年代研究的量子导波理论非常相似，他将微观粒子设想为产生推进导波场的振荡器。值得注意的是，行走的水滴表现出许多以前被认为是微观量子领域独有的特征。因此，它们为新兴的流体动力学量子类似物领域提供了基础，其目标是明确划分可以从经典角度理解和不能理解的量子力学特征之间的界限。这种方法是渐进的：每一个新的流体动力学量子模拟的建立都推动了这条路线。具体来说，行走液滴系统提出了对许多最令人着迷的量子概念的经典重新解释，包括波粒二象性、波函数崩溃、态叠加、轨道量子化、单粒子衍射和干涉、不确定性和非局域性。该奖项支持 PI 对流体动力学量子类似物的综合实验和理论研究，这自然会告知经典导波动力学作为现实主义量子理论基础的可行性。这项研究的智力价值在于，它既对现代物理学的哲学基础提出了质疑，又为现代物理学的哲学基础提供了信息。该奖项支持 PI 对流体动力学量子类似物的研究，包括在实验室中发现新的模拟系统、其理论建模以及与感兴趣的量子类似物的批判性比较。实验研究将探索该学科前沿的一类新型流体动力学量子模拟，包括超辐射光子发射、粒子产生和湮灭以及阿哈拉诺夫-玻姆效应。理论发展将致力于推进和探索广义的经典导波框架，该框架捕捉了行走液滴系统和德布罗意的导波理论的关键共同特征。除了提供一个探索极其丰富的新动力系统的平台之外，这一经典理论框架最终可能会在宏观和微观尺度上的波粒相互作用模型之间提供一座数学桥梁。该研究的实验和理论部分将特别关注阐明通过局域导频波相互作用可能产生明显非局域特征的方式，重点关注实现不可分离状态以及与经典导频波动力学纠缠的可能性。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查进行评估，被认为值得支持 标准。

项目成果

Hydrodynamic superradiance in wave-mediated cooperative tunneling

• DOI: 10.1038/s42005-022-00918-y
• 发表时间: 2022-06-08
• 期刊: COMMUNICATIONS PHYSICS
• 影响因子: 5.5
• 作者: Papatryfonos, Konstantinos;Ruelle, Melanie;Labousse, Matthieu
• 通讯作者: Labousse, Matthieu

The Stability of a Hydrodynamic Bravais Lattice

流体动力学布拉维晶格的稳定性

• DOI: 10.3390/sym14081524
• 发表时间: 2022
• 期刊: Symmetry
• 作者: Couchman, Miles M.;Evans, Davis J.;Bush, John W.
• 通讯作者: Bush, John W.

Real surreal trajectories in pilot-wave hydrodynamics

导波流体动力学中真实的超现实轨迹

• DOI: 10.1103/physreva.106.l010203
• 发表时间: 2022
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Frumkin, Valeri;Darrow, David;Bush, John W.;Struyve, Ward
• 通讯作者: Struyve, Ward