Dynamical invariant formalism of shortcuts to adiabaticity
Dynamical invariant formalism of shortcuts to adiabaticity
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DOI：
10.1098/rsta.2022.0301
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发表时间：
2022-09
期刊：
影响因子：
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通讯作者：
Kazutaka Takahashi
中科院分区：
文献类型：
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作者：
Kazutaka Takahashi
我们给出了绝热捷径的动态不变形式论的教学介绍。对于给定的带待定系数的哈密顿算子形式，引入动态不变量来设计系数。我们讨论了该方法如何允许我们模拟绝热动力学并描述与反绝热形式主义的关系。动力学不变量方程有一种熟悉的形式，经常用于物理学的各个领域。介绍了Lax对、量子腕时钟和流动方程的例子。本文是主题“绝热的捷径：理论、实验和跨学科视角”的一部分。
We give a pedagogical introduction to dynamical invariant formalism of shortcuts to adiabaticity. For a given operator form of the Hamiltonian with undetermined coefficients, the dynamical invariant is introduced to design the coefficients. We discuss how the method allows us to mimic adiabatic dynamics and describe a relation to the counterdiabatic formalism. The equation for the dynamical invariant takes a familiar form and is often used in various fields of physics. We introduce examples of Lax pair, quantum brachistochrone and flow equation. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.