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arXiv 2202.00745quant-phcond-mat.otherhep-th
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带动镜腔中绝热性的捷径

A shortcut to adiabaticity in a cavity with a moving mirror

Nicolás F. Del Grosso, Fernando C. Lombardo, Francisco D. Mazzitelli, Paula I. Villar

摘要:

绝热性的捷径构成了一个强大的替代方案,可以在模拟绝热动力学的同时加速时间演化。它们也与澄清基本问题有关,例如热力学第三原理和量子速度极限的精确量化。在这封信中,我们第一次描述了如何在量子场论中实现绝热性的捷径,对于1 + 1维中具有移动壁的空腔内的无质量标量场的特殊情况。该方法是基于已知的解决方案的问题,利用共形对称性,和捷径发生时,没有动态卡西米尔效应。我们得到了一个基本限制的奥托循环的效率与量子场作为一个工作系统,这取决于最大速度,镜子可以达到。我们描述了可能的实验实现的捷径使用超导电路。

英文摘要:

Shortcuts to adiabaticity constitute a powerful alternative that speed up time-evolution while mimicking adiabatic dynamics. They are also relevant to clarify fundamental questions such as a precise quantification of the third principle of thermodynamics and quantum speed limits. In this letter we describe, for the first time, how to implement shortcuts to adiabaticity in quantum field theory, for the particular case of a massless scalar field inside a cavity with a moving wall, in 1 + 1 dimensions. The approach is based on the known solution to the problem that exploits the conformal symmetry, and the shortcuts take place whenever there is no dynamical Casimir effect. We obtain a fundamental limit for the efficiency of an Otto cycle with the quantum field as a working system, that depends on the maximum velocity that the mirror can attain. We describe possible experimental realizations of the shortcuts using superconducting circuits.

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