标题： 超导腔中的动态卡西米尔效应：从光子生成到通用量子门 显示英文标题

标题： Dynamical Casimir effect in superconducting cavities: from photon generation to universal quantum gates

摘要： 本章探讨了动态卡西米尔效应（DCE）的各个方面及其在电路量子电动力学（cQED）背景下的含义。 我们首先回顾DCE的起源和基本特性，包括三种等效的数学框架，这些框架从不同的角度提供了对这一现象的互补性见解。 这些表述将作为后续分析的基础。 随后，我们将注意力转向基于cQED架构的DCE的实际实现，讨论现代超导电路如何被设计以表现出这种固有的量子效应。 在此基础上，我们研究DCE的存在如何影响使用量子场运行的量子热机的性能，揭示量子涨落与热力学过程之间的相互作用。 此外，我们展示了如何利用DCE在cQED平台上实现受控压缩门，为先进的量子控制和量子信息处理开辟道路。 本章最后总结了主要结果，并讨论了潜在的未来方向。 显示英文摘要

摘要： This chapter explores various aspects of the Dynamical Casimir Effect (DCE) and its implications in the context of circuit quantum electrodynamics (cQED). We begin by reviewing the origin and fundamental properties of the DCE, including three equivalent mathematical frameworks that offer complementary perspectives on the phenomenon. These formulations will serve as a foundation for the subsequent analyses. We then turn our attention to the practical realization of the DCE in cQED-based architectures, discussing how modern superconducting circuits can be engineered to exhibit this inherently quantum effect. Building on this, we examine how the presence of the DCE influences the performance of a quantum thermal machine operating with a quantum field, shedding light on the interplay between quantum fluctuations and thermodynamic processes. Further, we demonstrate how the DCE can be harnessed to implement a controlled-squeeze gate within a cQED platform, opening a path toward advanced quantum control and quantum information processing. The chapter concludes with a synthesis of the main results and a discussion of potential future directions.