耦合谐振子的量子绝热捷径设计

doi:10.12066/j.issn.1007-2861.2226

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (6): 1010-1017.doi: 10.12066/j.issn.1007-2861.2226

耦合谐振子的量子绝热捷径设计

杨冠卓, 陈玺()

上海大学理学院, 上海 200444

收稿日期:2020-03-25 出版日期:2021-12-31 发布日期:2020-06-15
通讯作者: 陈玺 E-mail:xchen@shu.edu.cn
作者简介:陈玺(1979—), 男, 教授, 博士生导师, 博士, 研究方向为量子绝热捷径. E-mail: xchen@shu.edu.cn
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

YANG Guanzhuo, CHEN Xi()

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2020-03-25 Online:2021-12-31 Published:2020-06-15
Contact: CHEN Xi E-mail:xchen@shu.edu.cn

摘要/Abstract

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.

关键词: 量子绝热捷径, 耦合谐振子, 量子热机

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

中图分类号:

O455

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.

YANG Guanzhuo, CHEN Xi. Design of shortcuts to adiabaticity for coupled harmonic oscillators[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(6): 1010-1017.

图/表 3

参考文献 27

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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

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