We study the quantum forces that act between two nearby conductors due to electronic tunneling. We derive an expression for these forces by calculating the flux of momentum arising from the overlap of evanescent electronic fields. Our result is written in terms of the electronic reflection amplitudes of the conductors and it has the same structure as Lifshitz's formula for the electromagnetically mediated Casimir forces. We evaluate the tunneling force between two semiinfinite conductors and between two thin films separated by an insulating gap. We discuss some applications of our results.
Twisted bilayered graphenes at magic angles are systems housing long ranged periodicity of Moiré pattern together with short ranged periodicity associated with the individual graphenes. Such materials are a fertile ground for novel states largely driven by electronic correlations. Here we find that the ubiquitous Casimir force can serve as a platform for macroscopic manifestations of the quantum effects stemming from the magic angle bilayered graphenes properties and their phases determined by electronic correlations. By utilizing comprehensive calculations for the electronic and optical respo…
Thermal noise limitations to force measurements with torsion pendulums: Applications to the measurement of the Casimir force and its thermal correction
Visualizing and controlling electron dynamics over femtosecond timescale play a key role in the design of next-generation electronic devices. Using simulations, we demonstrate the electronic oscillation inside the naphthalene molecule can be tracked by means of the tuning of delay time between two identical femtosecond laser pulses. Both the frequency and decay time of the oscillation are detected by the tunneling charge through the junction of scanning tunneling microscopy. And the tunneling charge is sensitive to the carrier-envelope phase (CEP) for few-cycle long optical pulses. While this …
Topological Casimir effect in a quantum LC circuit: real-time dynamics
研究了定义在紧致小流形${\mathbb{M}}$上的Maxwell系统配分函数的新贡献，该流形具有非平凡映射$π_1[U(1)]\cong\mathbb{Z}$ .这些贡献不能用具有两个横向偏振的传统物理传播光子来描述，而是作为拓扑上不同但物理上相同的真空缠绕状态之间的隧穿跃迁的结果出现。\exclude{These new terms give an extra contribution to the Casimir pressure, yet to be measured.}我们认为，如果同一系统被认为是在一个小的外部时间依赖的E\&M场的背景下，那么真正的物理光子将从真空中发射出来，类似于动态卡西米尔效应（DCE）的光子辐射从真空中由于时间依赖的边界条件。这种分析的基本技术困难在于，物理光子在质量壳上的辐射本质上是一种实时Minkowski现象，而拓扑$|k\rangle$扇区之间的真空涨落则依赖于欧几里得瞬子公式。我们克服了这一障碍，通过引入辅助拓扑领域，允许一个简单的分析继续之间的闵可夫斯基和欧几里德描述，并开发一个量子力学技术来计算这些影响。我们还提出了一个实验实现这种小的影响，使用适当的边界条件的微波腔。最后，我们评论这种效应可能的宇宙学意义。
