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Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
632

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科学领域:

  • 光子学和量子模拟技术的应用
  • 凝聚物质物理学 凝聚物质物理学
  • 集成光学 集成光学 集成光学

背景情况:

  • 波导网格对于量子步行和模拟凝聚物质系统至关重要.
  • 现有的波导装置是静态的,这限制了它们的应用多功能性.
  • 模拟复杂的量子动力学往往需要许多专门的静态设备.

研究的目的:

  • 开发一个单一的,可重新配置的波导阵列,用于各种哈密尔顿模拟.
  • 为了证明动态控制的哈密尔顿式术语的电光调整.
  • 在一个平台上研究多个凝聚物质量子动力学.

主要方法:

  • 采用酸的11个导波阵列和22个个别控制的电极.
  • 采用电光调来实现连续时间的哈密尔顿演变.
  • 进行了实验,实现了Su-Schriffer-Heeger模型,奥布里-安德烈模型和安德森本地化.

主要成果:

  • 成功展示了一个可编程波导阵列,能够模拟各种物理模型.
  • 实现了对哈密尔顿项的动态控制,相当于超过2500个静态设备.
  • 展示了微米级的电场,用于精确调,克服交叉通话的限制.

结论:

  • 开发的可编程波导阵列为量子模拟提供了前所未有的多功能性.
  • 电光控制提供超快速,精确的重新配置,低功耗.
  • 这个平台使用单一设备显著推进了对凝聚物质量子力学的研究.