收稿日期: 2020-03-25
网络出版日期: 2020-05-22
基金资助
国家自然科学基金资助项目(11474193);上海市科委基金资助项目(18010500400);上海市科委基金资助项目(18ZR1415500);上海市高校特聘教授"东方学者"跟踪计划资助项目
Design of shortcuts to adiabaticity for coupled harmonic oscillators
Received date: 2020-03-25
Online published: 2020-05-22
杨冠卓, 陈玺 . 耦合谐振子的量子绝热捷径设计[J]. 上海大学学报(自然科学版), 2021 , 27(6) : 1010 -1017 . DOI: 10.12066/j.issn.1007-2861.2226
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.
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