Study of the adiabatic passage in tripod atomic systems in terms of the Riemannian geometry of the Bloch sphere

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Study of the adiabatic passage in tripod atomic systems in terms of the Riemannian geometry of the Bloch sphere. / Cinins, Arturs; Bruvelis, Martins; Bezuglov, Nikolai N.

в: Journal of Physics B: Atomic, Molecular and Optical Physics, Том 55, № 23, 234003, 07.12.2022.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Author

Cinins, Arturs ; Bruvelis, Martins ; Bezuglov, Nikolai N. / Study of the adiabatic passage in tripod atomic systems in terms of the Riemannian geometry of the Bloch sphere. в: Journal of Physics B: Atomic, Molecular and Optical Physics. 2022 ; Том 55, № 23.

BibTeX

@article{7def2920dc264df0958551368c40d035,

title = "Study of the adiabatic passage in tripod atomic systems in terms of the Riemannian geometry of the Bloch sphere",

abstract = "We present an analysis of the stimulated Raman adiabatic passage (STIRAP) processes based on the methods of differential geometry. The present work was inspired by an excellent article by Shore et al (Unanyan et al 1999 Phys. Rev. A 59 2910). We demonstrate how a purely geometric interpretation of the adiabatic passage in quantum tripod systems as a Riemannian parallel transport of the dark state vector along the Bloch sphere allows describing the evolution of the system for a given sequence of Stokes, pump and control laser excitation pulses. In combination with the Dykhne-Davis-Pechukas adiabaticity criterion and the minimax principle for circles on a sphere, this approach allows obtaining the analytical form of the optimal laser pulse sequences for a high fidelity tripod fractional STIRAP. In contrast to the conventional STIRAP in Λ-systems, the Gaussian approximations of the optimal laser pulse sequences allow reaching the infidelity of 10−7 for the adiabaticity parameter of 300 without noticeable oscillatory or other detrimental effects on population transfer accuracy.",

keywords = "adiabatic passage, Bloch sphere, coherent control, dark states, parallel transport, Riemannian geometry, STIRAP",

author = "Arturs Cinins and Martins Bruvelis and Bezuglov, {Nikolai N.}",

note = "Publisher Copyright: {\textcopyright} 2022 IOP Publishing Ltd.",

year = "2022",

month = dec,

day = "7",

doi = "10.1088/1361-6455/ac9a90",

language = "English",

volume = "55",

journal = "Journal of the European Optical Society Part B: Quantum Optics",

issn = "0953-4075",

publisher = "IOP Publishing Ltd.",

number = "23",

}

RIS

TY - JOUR

T1 - Study of the adiabatic passage in tripod atomic systems in terms of the Riemannian geometry of the Bloch sphere

AU - Cinins, Arturs

AU - Bruvelis, Martins

AU - Bezuglov, Nikolai N.

PY - 2022/12/7

Y1 - 2022/12/7

N2 - We present an analysis of the stimulated Raman adiabatic passage (STIRAP) processes based on the methods of differential geometry. The present work was inspired by an excellent article by Shore et al (Unanyan et al 1999 Phys. Rev. A 59 2910). We demonstrate how a purely geometric interpretation of the adiabatic passage in quantum tripod systems as a Riemannian parallel transport of the dark state vector along the Bloch sphere allows describing the evolution of the system for a given sequence of Stokes, pump and control laser excitation pulses. In combination with the Dykhne-Davis-Pechukas adiabaticity criterion and the minimax principle for circles on a sphere, this approach allows obtaining the analytical form of the optimal laser pulse sequences for a high fidelity tripod fractional STIRAP. In contrast to the conventional STIRAP in Λ-systems, the Gaussian approximations of the optimal laser pulse sequences allow reaching the infidelity of 10−7 for the adiabaticity parameter of 300 without noticeable oscillatory or other detrimental effects on population transfer accuracy.

AB - We present an analysis of the stimulated Raman adiabatic passage (STIRAP) processes based on the methods of differential geometry. The present work was inspired by an excellent article by Shore et al (Unanyan et al 1999 Phys. Rev. A 59 2910). We demonstrate how a purely geometric interpretation of the adiabatic passage in quantum tripod systems as a Riemannian parallel transport of the dark state vector along the Bloch sphere allows describing the evolution of the system for a given sequence of Stokes, pump and control laser excitation pulses. In combination with the Dykhne-Davis-Pechukas adiabaticity criterion and the minimax principle for circles on a sphere, this approach allows obtaining the analytical form of the optimal laser pulse sequences for a high fidelity tripod fractional STIRAP. In contrast to the conventional STIRAP in Λ-systems, the Gaussian approximations of the optimal laser pulse sequences allow reaching the infidelity of 10−7 for the adiabaticity parameter of 300 without noticeable oscillatory or other detrimental effects on population transfer accuracy.

KW - adiabatic passage

KW - Bloch sphere

KW - coherent control

KW - dark states

KW - parallel transport

KW - Riemannian geometry

KW - STIRAP

UR - http://www.scopus.com/inward/record.url?scp=85141806937&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c5a0b6f0-25ac-3e14-aaea-886c5e46d0fa/

U2 - 10.1088/1361-6455/ac9a90

DO - 10.1088/1361-6455/ac9a90

M3 - Article

AN - SCOPUS:85141806937

VL - 55

JO - Journal of the European Optical Society Part B: Quantum Optics

JF - Journal of the European Optical Society Part B: Quantum Optics

SN - 0953-4075

IS - 23

M1 - 234003

ER -

ID: 100843997