Analysis of attosecond entanglement and coherence using feasible formulae

In recently published papers [M. J. J. Vrakking, Phys. Rev. Lett. 126, 113203 (2021)0031-900710.1103/PhysRevLett.126.113203; J. Phys. B 55, 134001 (2022)0953-407510.1088/1361-6455/ac6e17], Vrakking proposed an inventive scheme to control the entanglement or coherence of the vibrational states in a h...

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Main Authors: Yasuo Nabekawa, Katsumi Midorikawa
Format: Article
Language:English
Published: American Physical Society 2023-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.033083
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author Yasuo Nabekawa
Katsumi Midorikawa
author_facet Yasuo Nabekawa
Katsumi Midorikawa
author_sort Yasuo Nabekawa
collection DOAJ
description In recently published papers [M. J. J. Vrakking, Phys. Rev. Lett. 126, 113203 (2021)0031-900710.1103/PhysRevLett.126.113203; J. Phys. B 55, 134001 (2022)0953-407510.1088/1361-6455/ac6e17], Vrakking proposed an inventive scheme to control the entanglement or coherence of the vibrational states in a hydrogen molecular ion and a continuum electron, both of which were generated via the photoionization of a hydrogen molecule irradiated by a coherent pair of extreme ultraviolet (XUV) attosecond pulses and a few-femtosecond ultraviolet (UV) pulse. He clarified, for the first time to our knowledge, how the coherence of the XUV attosecond pulse pair is transferred to the molecular ion system accompanying a detached continuum electron by numerically solving a time-dependent Schrödinger equation (TDSE) governing the evolution of the ion and the electron in a rigorous manner. Nevertheless, it was not straightforwardly resolved how and why the specific characteristics of the resultant joint energy spectrogram emerged and how the entanglement or coherence was altered with the irradiation of the UV pulse. In this paper, we present an analytical solution of the TDSE using time-dependent perturbation theory, and we utilize the resultant solution to explain what causes the particular features in the entanglement or coherence between the electron and the ion spectra.
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spelling doaj.art-ed52b98e76564f1488e850c2abca2fcd2024-04-12T17:33:01ZengAmerican Physical SocietyPhysical Review Research2643-15642023-08-015303308310.1103/PhysRevResearch.5.033083Analysis of attosecond entanglement and coherence using feasible formulaeYasuo NabekawaKatsumi MidorikawaIn recently published papers [M. J. J. Vrakking, Phys. Rev. Lett. 126, 113203 (2021)0031-900710.1103/PhysRevLett.126.113203; J. Phys. B 55, 134001 (2022)0953-407510.1088/1361-6455/ac6e17], Vrakking proposed an inventive scheme to control the entanglement or coherence of the vibrational states in a hydrogen molecular ion and a continuum electron, both of which were generated via the photoionization of a hydrogen molecule irradiated by a coherent pair of extreme ultraviolet (XUV) attosecond pulses and a few-femtosecond ultraviolet (UV) pulse. He clarified, for the first time to our knowledge, how the coherence of the XUV attosecond pulse pair is transferred to the molecular ion system accompanying a detached continuum electron by numerically solving a time-dependent Schrödinger equation (TDSE) governing the evolution of the ion and the electron in a rigorous manner. Nevertheless, it was not straightforwardly resolved how and why the specific characteristics of the resultant joint energy spectrogram emerged and how the entanglement or coherence was altered with the irradiation of the UV pulse. In this paper, we present an analytical solution of the TDSE using time-dependent perturbation theory, and we utilize the resultant solution to explain what causes the particular features in the entanglement or coherence between the electron and the ion spectra.http://doi.org/10.1103/PhysRevResearch.5.033083
spellingShingle Yasuo Nabekawa
Katsumi Midorikawa
Analysis of attosecond entanglement and coherence using feasible formulae
Physical Review Research
title Analysis of attosecond entanglement and coherence using feasible formulae
title_full Analysis of attosecond entanglement and coherence using feasible formulae
title_fullStr Analysis of attosecond entanglement and coherence using feasible formulae
title_full_unstemmed Analysis of attosecond entanglement and coherence using feasible formulae
title_short Analysis of attosecond entanglement and coherence using feasible formulae
title_sort analysis of attosecond entanglement and coherence using feasible formulae
url http://doi.org/10.1103/PhysRevResearch.5.033083
work_keys_str_mv AT yasuonabekawa analysisofattosecondentanglementandcoherenceusingfeasibleformulae
AT katsumimidorikawa analysisofattosecondentanglementandcoherenceusingfeasibleformulae