Quantum Control by Few-Cycles Pulses: The Two-Level Problem
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...
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MDPI AG
2023-01-01
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Series: | Entropy |
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Online Access: | https://www.mdpi.com/1099-4300/25/2/212 |
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author | François Peyraut Frédéric Holweck Stéphane Guérin |
author_facet | François Peyraut Frédéric Holweck Stéphane Guérin |
author_sort | François Peyraut |
collection | DOAJ |
description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-pulse regime to two- or single-cycle pulses, are also derived. |
first_indexed | 2024-03-11T08:51:26Z |
format | Article |
id | doaj.art-02f7065114c743fc88c52fdfcc397e85 |
institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-03-11T08:51:26Z |
publishDate | 2023-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj.art-02f7065114c743fc88c52fdfcc397e852023-11-16T20:22:22ZengMDPI AGEntropy1099-43002023-01-0125221210.3390/e25020212Quantum Control by Few-Cycles Pulses: The Two-Level ProblemFrançois Peyraut0Frédéric Holweck1Stéphane Guérin2ICB, UMR 6303, CNRS, University Bourgogne Franche-Comté, UTBM, 90010 Belfort, FranceICB, UMR 6303, CNRS, University Bourgogne Franche-Comté, UTBM, 90010 Belfort, FranceICB, UMR 6303, CNRS, University of Bourgogne, 21000 Dijon, FranceWe 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-pulse regime to two- or single-cycle pulses, are also derived.https://www.mdpi.com/1099-4300/25/2/212quantum controlquantum system driven by an external fieldadiabatic passageadiabatic Floquet theory |
spellingShingle | François Peyraut Frédéric Holweck Stéphane Guérin Quantum Control by Few-Cycles Pulses: The Two-Level Problem Entropy quantum control quantum system driven by an external field adiabatic passage adiabatic Floquet theory |
title | Quantum Control by Few-Cycles Pulses: The Two-Level Problem |
title_full | Quantum Control by Few-Cycles Pulses: The Two-Level Problem |
title_fullStr | Quantum Control by Few-Cycles Pulses: The Two-Level Problem |
title_full_unstemmed | Quantum Control by Few-Cycles Pulses: The Two-Level Problem |
title_short | Quantum Control by Few-Cycles Pulses: The Two-Level Problem |
title_sort | quantum control by few cycles pulses the two level problem |
topic | quantum control quantum system driven by an external field adiabatic passage adiabatic Floquet theory |
url | https://www.mdpi.com/1099-4300/25/2/212 |
work_keys_str_mv | AT francoispeyraut quantumcontrolbyfewcyclespulsesthetwolevelproblem AT fredericholweck quantumcontrolbyfewcyclespulsesthetwolevelproblem AT stephaneguerin quantumcontrolbyfewcyclespulsesthetwolevelproblem |