Analysis of adiabatic processes in multilevel N-pod quantum systems from the perspective of Riemannian geometry

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Analysis of adiabatic processes in multilevel N-pod quantum systems from the perspective of Riemannian geometry. / Безуглов, Николай Николаевич; Cinins, Arturs; Dimitrijević, Milan; Srećković, Vladimir; Miculis, Kaspars.

In: The European Physical Journal D - Atomic, Molecular and Optical Physics, Vol. 77, No. 5, 87, 2023.

Research output: Contribution to journal › Article › peer-review

Author

Безуглов, Николай Николаевич ; Cinins, Arturs ; Dimitrijević, Milan ; Srećković, Vladimir ; Miculis, Kaspars. / Analysis of adiabatic processes in multilevel N-pod quantum systems from the perspective of Riemannian geometry. In: The European Physical Journal D - Atomic, Molecular and Optical Physics. 2023 ; Vol. 77, No. 5.

BibTeX

@article{9cb908fdbfb74281a2482fcb7df79464,

title = "Analysis of adiabatic processes in multilevel N-pod quantum systems from the perspective of Riemannian geometry",

abstract = "The analysis of problems related to nonlocalized population transfer between quantum levelsrequires nontraditional mathematical approaches. Here we study the processes of irremovable nonadiabatictransitions in a (N − 1)-dimensional system of completely degenerate so-called dark states, taking as a basemodel multilevel N-pod systems. It is shown that quantum dynamics of the dark states due to the operatorof nonadiabatic coupling can be described in terms of the Riemannian parallel transport of their geometriccounterparts in the space of control parameters. The results of mathematical modeling of nonadiabaticeﬀects, presented in the paper for the case of four-level systems interacting with three laser ﬁelds (tripodsystems), demonstrate full agreement between the quantum and geometric approaches. These results areof interest for experimental and laboratory plasma research and atomic and laser physics.",

author = "Безуглов, {Николай Николаевич} and Arturs Cinins and Milan Dimitrijevi{\'c} and Vladimir Sre{\'c}kovi{\'c} and Kaspars Miculis",

year = "2023",

doi = "10.1140/epjd/s10053-023-00652-2",

language = "English",

volume = "77",

journal = "European Physical Journal D",

issn = "1434-6060",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - Analysis of adiabatic processes in multilevel N-pod quantum systems from the perspective of Riemannian geometry

AU - Безуглов, Николай Николаевич

AU - Cinins, Arturs

AU - Dimitrijević, Milan

AU - Srećković, Vladimir

AU - Miculis, Kaspars

PY - 2023

Y1 - 2023

N2 - The analysis of problems related to nonlocalized population transfer between quantum levelsrequires nontraditional mathematical approaches. Here we study the processes of irremovable nonadiabatictransitions in a (N − 1)-dimensional system of completely degenerate so-called dark states, taking as a basemodel multilevel N-pod systems. It is shown that quantum dynamics of the dark states due to the operatorof nonadiabatic coupling can be described in terms of the Riemannian parallel transport of their geometriccounterparts in the space of control parameters. The results of mathematical modeling of nonadiabaticeﬀects, presented in the paper for the case of four-level systems interacting with three laser ﬁelds (tripodsystems), demonstrate full agreement between the quantum and geometric approaches. These results areof interest for experimental and laboratory plasma research and atomic and laser physics.

AB - The analysis of problems related to nonlocalized population transfer between quantum levelsrequires nontraditional mathematical approaches. Here we study the processes of irremovable nonadiabatictransitions in a (N − 1)-dimensional system of completely degenerate so-called dark states, taking as a basemodel multilevel N-pod systems. It is shown that quantum dynamics of the dark states due to the operatorof nonadiabatic coupling can be described in terms of the Riemannian parallel transport of their geometriccounterparts in the space of control parameters. The results of mathematical modeling of nonadiabaticeﬀects, presented in the paper for the case of four-level systems interacting with three laser ﬁelds (tripodsystems), demonstrate full agreement between the quantum and geometric approaches. These results areof interest for experimental and laboratory plasma research and atomic and laser physics.

UR - https://rdcu.be/ddnpK

UR - https://www.mendeley.com/catalogue/864f7fb6-3f94-3d84-8893-e3c198ee8ad0/

U2 - 10.1140/epjd/s10053-023-00652-2

DO - 10.1140/epjd/s10053-023-00652-2

M3 - Article

VL - 77

JO - European Physical Journal D

JF - European Physical Journal D

SN - 1434-6060

IS - 5

M1 - 87

ER -

ID: 105857958