dorsal/arxiv
View SchemaEffect of Atomic Coherence on Absorption in Four-level Systems: an Analytical study
| Authors | S N Sandhya |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610054 |
| URL | https://arxiv.org/abs/quant-ph/0610054 |
| DOI | 10.1088/0953-4075/40/5/002 |
Abstract
Absorption profile of a four-level ladder atomic system interacting with three driving fields is studied perturbatively and analytical results are presented. Numerical results where the driving field strengths are treated upto all orders are presented. The absorption features is studied in two regimes, i) the weak middle transition coupling, i.e. $\Omega_2 << \Omega_{1,3}$ and ii) the strong middle transition coupling $\Omega_2 >>\Omega_{1,3}$. In case i), it is shown that the ground state absorption and the saturation characteristics of the population of level 2 reveal deviation due to the presence of upper level couplings. In particular, the saturation curve for the population of level 2 shows a dip for $\Omega_1 = \Omega_3$. While the populations of levels 3 and 4 show a maxima when this resonance condition is satisfied. Thus the resonance condition provides a criterion for maximally populating the upper levels. A second order perturbation calculation reveals the nature of this minima (maxima). In the second case, I report two important features: a) Filtering of the Aulter-Townes doublet in the three-peak absorption profile of the ground state, which is achieved by detuning only the upper most coupling field, and b) control of line-width by controlling the strength of the upper coupling fields. This filtering technique coupled with the control of linewidth could prove to be very useful for high resolution studies.
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"abstract": "Absorption profile of a four-level ladder atomic system interacting with\nthree driving fields is studied perturbatively and analytical results are\npresented. Numerical results where the driving field strengths are treated upto\nall orders are presented. The absorption features is studied in two regimes, i)\nthe weak middle transition coupling, i.e.\n $\\Omega_2 \u003c\u003c \\Omega_{1,3}$ and ii) the strong middle transition coupling\n $\\Omega_2 \u003e\u003e\\Omega_{1,3}$. In case i), it is shown that the ground state\nabsorption and the saturation characteristics of the population of level 2\nreveal deviation due to the presence of upper level couplings. In particular,\nthe saturation curve for the population of level 2 shows a dip for $\\Omega_1 =\n\\Omega_3$. While the populations of levels 3 and 4 show a maxima when this\nresonance condition is satisfied. Thus the resonance condition provides a\ncriterion for maximally populating the upper levels. A second order\nperturbation calculation reveals the nature of this minima (maxima). In the\nsecond case, I report two important features: a) Filtering of the Aulter-Townes\ndoublet in the three-peak absorption profile of the ground state, which is\nachieved by detuning only the upper most coupling field, and b) control of\nline-width by controlling the strength of the upper coupling fields. This\nfiltering technique coupled with the control of linewidth could prove to be\nvery useful for high resolution studies.",
"arxiv_id": "quant-ph/0610054",
"authors": [
"S N Sandhya"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-4075/40/5/002",
"title": "Effect of Atomic Coherence on Absorption in Four-level Systems: an Analytical study",
"url": "https://arxiv.org/abs/quant-ph/0610054"
},
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