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耦合谐振子的量子绝热捷径设计
Design of shortcuts to adiabaticity for coupled harmonic oscillators
【摘要】 量子绝热捷径技术旨在加快量子绝热慢过程,已经被广泛用于原子的冷却、转移等量子信息处理过程.研究耦合谐振子模型的量子绝热捷径设计及其热机应用,基于耦合谐振子模型的量子不变量,首先得到Ermakov方程,然后反设计耦合谐振子频率,最终加快绝热过程而不产生末态激发.本工作为耦合谐振子的量子态操控及超绝热量子热机提供了新思路.
【Abstract】 With the emergence of wide applications in atomic cooling and shuttling for quantum information processing,shortcuts to adiabaticity have been proposed to accelerate slow adiabatic processes.In this study,we consider a shortcut to adiabaticity for coupled harmonic oscillators and its application in a quantum heat engine.Based on the dynamical invariant of coupled harmonic oscillators,we first obtain an Ermakov equation and then design the frequency of a coupled harmonic oscillator using an inverse engineering method to speed up the adiabatic process without final excitation.Our results provide a theoretical basis for designing shortcuts to adiabatic state control of coupled harmonic oscillators and superadiabatic quantum heat engines.
【Key words】 shortcut to adiabaticity; coupled harmonic oscillators; quantum heat engine;
- 【文献出处】 上海大学学报(自然科学版) ,Journal of Shanghai University(Natural Science Edition) , 编辑部邮箱 ,2021年06期
- 【分类号】O413.1
- 【下载频次】83