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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Main Authors: François Peyraut, Frédéric Holweck, Stéphane Guérin
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Entropy
Subjects:
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.
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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
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AT stephaneguerin quantumcontrolbyfewcyclespulsesthetwolevelproblem