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少周期脉冲的量子控制:二能级问题

Quantum Control by Few-Cycles Pulses: The Two-Level Problem.

作者信息

Peyraut François, Holweck Frédéric, Guérin Stéphane

机构信息

ICB, UMR 6303, CNRS, University Bourgogne Franche-Comté, UTBM, 90010 Belfort, France.

Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USA.

出版信息

Entropy (Basel). 2023 Jan 22;25(2):212. doi: 10.3390/e25020212.

DOI:10.3390/e25020212
PMID:36832579
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9955166/
Abstract

We investigate the problem of population transfer in a two-states system driven by an external electromagnetic field featuring a few cycles, until the extreme limit of two or one cycle. Taking the physical constraint of zero-area total field into account, we determine strategies leading to ultrahigh-fidelity population transfer despite the failure of the rotating wave approximation. We specifically implement adiabatic passage based on adiabatic Floquet theory for a number of cycles as low as 2.5 cycles, finding and making the dynamics follow an adiabatic trajectory connecting the initial and targeted states. Nonadiabatic strategies with shaped or chirped pulses, extending the π-pulse regime to two- or single-cycle pulses, are also derived.

摘要

我们研究了由具有几个周期的外部电磁场驱动的两态系统中的粒子转移问题,直至两个或一个周期的极限情况。考虑到总场面积为零的物理约束,我们确定了即使旋转波近似失效仍能实现超高保真粒子转移的策略。我们具体基于绝热弗洛凯理论,针对低至2.5个周期的情况实施绝热通道,找到并使动力学遵循连接初始态和目标态的绝热轨迹。还推导了具有整形或啁啾脉冲的非绝热策略,将π脉冲 regime扩展到双周期或单周期脉冲。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/6de68d15c428/entropy-25-00212-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/f20f45a5f74e/entropy-25-00212-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/19e52b2e841f/entropy-25-00212-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/7bd2e1933d25/entropy-25-00212-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/b03a3b0423c5/entropy-25-00212-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/f504a20c8aa6/entropy-25-00212-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/3e3338016b46/entropy-25-00212-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/e90a64089a51/entropy-25-00212-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/6eab7236fd8e/entropy-25-00212-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/0ec12c135734/entropy-25-00212-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/36492a60ca95/entropy-25-00212-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/df0d3640654b/entropy-25-00212-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/6de68d15c428/entropy-25-00212-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/f20f45a5f74e/entropy-25-00212-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/19e52b2e841f/entropy-25-00212-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/7bd2e1933d25/entropy-25-00212-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/b03a3b0423c5/entropy-25-00212-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/f504a20c8aa6/entropy-25-00212-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/3e3338016b46/entropy-25-00212-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/e90a64089a51/entropy-25-00212-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/6eab7236fd8e/entropy-25-00212-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/0ec12c135734/entropy-25-00212-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/36492a60ca95/entropy-25-00212-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/df0d3640654b/entropy-25-00212-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0fa0/9955166/6de68d15c428/entropy-25-00212-g011.jpg

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本文引用的文献

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Optimal Robust Quantum Control by Inverse Geometric Optimization.
Phys Rev Lett. 2020 Dec 18;125(25):250403. doi: 10.1103/PhysRevLett.125.250403.
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Long-Lasting Molecular Orientation Induced by a Single Terahertz Pulse.单太赫兹脉冲诱导的持久分子取向
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