dorsal/arxiv
View SchemaAdiabatic following criterion, estimation of the nonadiabatic excitation fraction and quantum jumps
| Authors | R. N. Shakhmuratov, J. Odeurs |
|---|---|
| Categories | |
| ArXiv ID | physics/0302017 |
| URL | https://arxiv.org/abs/physics/0302017 |
| DOI | 10.1103/PhysRevA.68.043802 |
Abstract
An accurate theory describing adiabatic following of the dark, nonabsorbing state in the three-level system is developed. An analytical solution for the wave function of the particle experiencing Raman excitation is found as an expansion in terms of the time varying nonadiabatic perturbation parameter. The solution can be presented as a sum of adiabatic and nonadiabatic parts. Both are estimated quantitatively. It is shown that the limiting value to which the amplitude of the nonadiabatic part tends is equal to the Fourier component of the nonadiabatic perturbation parameter taken at the Rabi frequency of the Raman excitation. The time scale of the variation of both parts is found. While the adiabatic part of the solution varies slowly and follows the change of the nonadiabatic perturbation parameter, the nonadiabatic part appears almost instantly, revealing a jumpwise transition between the dark and bright states. This jump happens when the nonadiabatic perturbation parameter takes its maximum value.
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"abstract": "An accurate theory describing adiabatic following of the dark, nonabsorbing\nstate in the three-level system is developed. An analytical solution for the\nwave function of the particle experiencing Raman excitation is found as an\nexpansion in terms of the time varying nonadiabatic perturbation parameter. The\nsolution can be presented as a sum of adiabatic and nonadiabatic parts. Both\nare estimated quantitatively. It is shown that the limiting value to which the\namplitude of the nonadiabatic part tends is equal to the Fourier component of\nthe nonadiabatic perturbation parameter taken at the Rabi frequency of the\nRaman excitation. The time scale of the variation of both parts is found. While\nthe adiabatic part of the solution varies slowly and follows the change of the\nnonadiabatic perturbation parameter, the nonadiabatic part appears almost\ninstantly, revealing a jumpwise transition between the dark and bright states.\nThis jump happens when the nonadiabatic perturbation parameter takes its\nmaximum value.",
"arxiv_id": "physics/0302017",
"authors": [
"R. N. Shakhmuratov",
"J. Odeurs"
],
"categories": [
"physics.optics",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.68.043802",
"title": "Adiabatic following criterion, estimation of the nonadiabatic excitation fraction and quantum jumps",
"url": "https://arxiv.org/abs/physics/0302017"
},
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