Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes

We investigated the roles of one-photon and two-photon processes in the laser-controlled rovibrational transitions of the diatomic alkali halide, <sup>7</sup>Li<sup>37</sup>Cl. Optimal control theory calculations were carried out using the Hamiltonian, including both the one-...

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Main Authors: Yuzuru Kurosaki, Keiichi Yokoyama
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/5/109
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author Yuzuru Kurosaki
Keiichi Yokoyama
author_facet Yuzuru Kurosaki
Keiichi Yokoyama
author_sort Yuzuru Kurosaki
collection DOAJ
description We investigated the roles of one-photon and two-photon processes in the laser-controlled rovibrational transitions of the diatomic alkali halide, <sup>7</sup>Li<sup>37</sup>Cl. Optimal control theory calculations were carried out using the Hamiltonian, including both the one-photon and two-photon field-molecule interaction terms. Time-dependent wave packet propagation was performed with both the radial and angular motions being treated quantum mechanically. The targeted processes were pure rotational and vibrational&#8722;rotational excitations: (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 0, <i>J</i> = 2); (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 1, <i>J</i> = 2). Total time of the control pulse was set to 2,000,000 atomic units (48.4 ps). In each control excitation process, weak and strong optimal fields were obtained by means of giving weak and strong field amplitudes, respectively, to the initial guess for the optimal field. It was found that when the field is weak, the control mechanism is dominated exclusively by a one-photon process, as expected, in both the targeted processes. When the field is strong, we obtained two kinds of optimal fields, one causing two-photon absorption and the other causing a Raman process. It was revealed, however, that the mechanisms for strong fields are not simply characterized by one process but rather by multiple one- and two-photon processes. It was also found that in the rotational excitation, (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 0, <i>J</i> = 2), the roles of one- and two-photon processes are relatively distinct but in the vibrational&#8722;rotational excitation, (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 1, <i>J</i> = 2), these roles are ambiguous and the cooperative effect associated with these two processes is quite large.
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spelling doaj.art-526cfe3ca4284add86722853058eef352022-12-22T04:01:00ZengMDPI AGUniverse2218-19972019-05-015510910.3390/universe5050109universe5050109Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon ProcessesYuzuru Kurosaki0Keiichi Yokoyama1Tokai Quantum Beam Science Center, Takasaki Advanced Radiation Research Institute, National Institutes for Quantum and Radiological Science and Technology, Tokai, Ibaraki 319-1195, JapanMaterials Science Research Center, Japan Atomic Energy Agency, Kouto, Sayo, Hyogo 679-5148, JapanWe investigated the roles of one-photon and two-photon processes in the laser-controlled rovibrational transitions of the diatomic alkali halide, <sup>7</sup>Li<sup>37</sup>Cl. Optimal control theory calculations were carried out using the Hamiltonian, including both the one-photon and two-photon field-molecule interaction terms. Time-dependent wave packet propagation was performed with both the radial and angular motions being treated quantum mechanically. The targeted processes were pure rotational and vibrational&#8722;rotational excitations: (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 0, <i>J</i> = 2); (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 1, <i>J</i> = 2). Total time of the control pulse was set to 2,000,000 atomic units (48.4 ps). In each control excitation process, weak and strong optimal fields were obtained by means of giving weak and strong field amplitudes, respectively, to the initial guess for the optimal field. It was found that when the field is weak, the control mechanism is dominated exclusively by a one-photon process, as expected, in both the targeted processes. When the field is strong, we obtained two kinds of optimal fields, one causing two-photon absorption and the other causing a Raman process. It was revealed, however, that the mechanisms for strong fields are not simply characterized by one process but rather by multiple one- and two-photon processes. It was also found that in the rotational excitation, (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 0, <i>J</i> = 2), the roles of one- and two-photon processes are relatively distinct but in the vibrational&#8722;rotational excitation, (<i>v</i> = 0, <i>J</i> = 0) &#8594; (<i>v</i> = 1, <i>J</i> = 2), these roles are ambiguous and the cooperative effect associated with these two processes is quite large.https://www.mdpi.com/2218-1997/5/5/109quantum controloptimal control theorydiatomic moleculetwo-photon absorptionRaman process
spellingShingle Yuzuru Kurosaki
Keiichi Yokoyama
Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
Universe
quantum control
optimal control theory
diatomic molecule
two-photon absorption
Raman process
title Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
title_full Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
title_fullStr Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
title_full_unstemmed Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
title_short Quantum Optimal Control of Rovibrational Excitations of a Diatomic Alkali Halide: One-Photon vs. Two-Photon Processes
title_sort quantum optimal control of rovibrational excitations of a diatomic alkali halide one photon vs two photon processes
topic quantum control
optimal control theory
diatomic molecule
two-photon absorption
Raman process
url https://www.mdpi.com/2218-1997/5/5/109
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AT keiichiyokoyama quantumoptimalcontrolofrovibrationalexcitationsofadiatomicalkalihalideonephotonvstwophotonprocesses