Precise quantum control of molecular rotation toward a desired orientation

The lack of a direct map between control fields and desired control objectives poses a significant challenge in applying quantum control theory to quantum technologies. Here, we propose an analytical framework to precisely control a limited set of quantum states and construct desired coherent superp...

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Main Authors: Qian-Qian Hong, Daoyi Dong, Niels E. Henriksen, Franco Nori, Jun He, Chuan-Cun Shu
Format: Article
Language:English
Published: American Physical Society 2025-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L012049
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author Qian-Qian Hong
Daoyi Dong
Niels E. Henriksen
Franco Nori
Jun He
Chuan-Cun Shu
author_facet Qian-Qian Hong
Daoyi Dong
Niels E. Henriksen
Franco Nori
Jun He
Chuan-Cun Shu
author_sort Qian-Qian Hong
collection DOAJ
description The lack of a direct map between control fields and desired control objectives poses a significant challenge in applying quantum control theory to quantum technologies. Here, we propose an analytical framework to precisely control a limited set of quantum states and construct desired coherent superpositions using a well-designed laser pulse sequence with optimal amplitudes, phases, and delays. This theoretical framework that corresponds to a multilevel pulse-area theorem establishes a straightforward mapping between the control parameters of the pulse sequence and the amplitudes and phases of rotational states within a specific subspace. As an example, we utilize this approach to generate 15 distinct and desired rotational superpositions of ultracold polar molecules, leading to 15 desired field-free molecular orientations. By optimizing the superposition of the lowest 16 rotational states, we demonstrate that this approach can achieve a maximum orientation value of |〈cosθ〉|_{max} above 0.99, which is very close to the global optimal value of 1 that could be achieved in an infinite-dimensional state space. This work marks a significant advancement in achieving precise control over multilevel subsystems within molecules. It holds potential applications in molecular alignment and orientation, as well as in various interdisciplinary fields related to the precise quantum control of ultracold polar molecules, opening up considerable opportunities in molecular-based quantum techniques.
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spelling doaj-art-112a122a8cae482da755b406baf3fd7f2025-08-20T02:55:08ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-0171L01204910.1103/PhysRevResearch.7.L012049Precise quantum control of molecular rotation toward a desired orientationQian-Qian HongDaoyi DongNiels E. HenriksenFranco NoriJun HeChuan-Cun ShuThe lack of a direct map between control fields and desired control objectives poses a significant challenge in applying quantum control theory to quantum technologies. Here, we propose an analytical framework to precisely control a limited set of quantum states and construct desired coherent superpositions using a well-designed laser pulse sequence with optimal amplitudes, phases, and delays. This theoretical framework that corresponds to a multilevel pulse-area theorem establishes a straightforward mapping between the control parameters of the pulse sequence and the amplitudes and phases of rotational states within a specific subspace. As an example, we utilize this approach to generate 15 distinct and desired rotational superpositions of ultracold polar molecules, leading to 15 desired field-free molecular orientations. By optimizing the superposition of the lowest 16 rotational states, we demonstrate that this approach can achieve a maximum orientation value of |〈cosθ〉|_{max} above 0.99, which is very close to the global optimal value of 1 that could be achieved in an infinite-dimensional state space. This work marks a significant advancement in achieving precise control over multilevel subsystems within molecules. It holds potential applications in molecular alignment and orientation, as well as in various interdisciplinary fields related to the precise quantum control of ultracold polar molecules, opening up considerable opportunities in molecular-based quantum techniques.http://doi.org/10.1103/PhysRevResearch.7.L012049
spellingShingle Qian-Qian Hong
Daoyi Dong
Niels E. Henriksen
Franco Nori
Jun He
Chuan-Cun Shu
Precise quantum control of molecular rotation toward a desired orientation
Physical Review Research
title Precise quantum control of molecular rotation toward a desired orientation
title_full Precise quantum control of molecular rotation toward a desired orientation
title_fullStr Precise quantum control of molecular rotation toward a desired orientation
title_full_unstemmed Precise quantum control of molecular rotation toward a desired orientation
title_short Precise quantum control of molecular rotation toward a desired orientation
title_sort precise quantum control of molecular rotation toward a desired orientation
url http://doi.org/10.1103/PhysRevResearch.7.L012049
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AT junhe precisequantumcontrolofmolecularrotationtowardadesiredorientation
AT chuancunshu precisequantumcontrolofmolecularrotationtowardadesiredorientation