Abstract

The position dependent nonconservative forces are called curl forces introduced recently by M.V. Berry, P. Shukla, J. Phys. A 45, 305201 (2012). In this article, we elucidate the role of curl forces in classical and quantum optics. At first we review the work of A. Ashkin and demonstrate the existence of curl force. We then discuss the role of curl force in ion trapping theory and map it to rotating saddle potential. Finally we show the connection between the two level atom problem, curl forces and their connection to Pais-Uhlenbeck oscillator.

Graphical abstract

中文翻译：

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卷曲力及其在光学和离子阱中的作用

摘要

位置相关的非保守力称为弯曲力，最近由MV Berry，P. Shukla，J. Phys。甲45，305201（2012）。在本文中，我们阐明了卷曲力在经典光学和量子光学中的作用。首先，我们回顾了A. Ashkin的工作，并证明了卷曲力的存在。然后，我们讨论了卷曲力在离子阱理论中的作用，并将其映射到旋转鞍势。最后，我们展示了两级原子问题，卷曲力及其与Pais-Uhlenbeck振荡器之间的关系。

图形概要