dorsal/arxiv
View SchemaQuantum time ordering and degeneracy. II: Coherent population transfer between degenerate states
| Authors | Kh. Yu. Rakhimov, Kh. Kh. Shakov, J. H. McGuire |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308015 |
| URL | https://arxiv.org/abs/quant-ph/0308015 |
Abstract
We find conditions required to achieve complete population transfer, via coherent population trapping, from an initial state to a designated final state at a designated time in a degenerate $n$-state atom, where transitions are caused by an external interaction. In systems with degenerate states there is no time ordering. Analytic expressions have been found for transition probabilities in a degenerate $n$-state atom interacting with a strong external field that gives a common time dependence to all of the transition matrix elements. Except for solving a simple $n^{th}$ order equation to determine eigenvalues of dressed states, the method is entirely analytic. These expressions may be used to control electron populations in degenerate $n$-state atoms. Examples are given for $n=2$ and $n=3$.
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"abstract": "We find conditions required to achieve complete population transfer, via\ncoherent population trapping, from an initial state to a designated final state\nat a designated time in a degenerate $n$-state atom, where transitions are\ncaused by an external interaction. In systems with degenerate states there is\nno time ordering. Analytic expressions have been found for transition\nprobabilities in a degenerate $n$-state atom interacting with a strong external\nfield that gives a common time dependence to all of the transition matrix\nelements. Except for solving a simple $n^{th}$ order equation to determine\neigenvalues of dressed states, the method is entirely analytic. These\nexpressions may be used to control electron populations in degenerate $n$-state\natoms. Examples are given for $n=2$ and $n=3$.",
"arxiv_id": "quant-ph/0308015",
"authors": [
"Kh. Yu. Rakhimov",
"Kh. Kh. Shakov",
"J. H. McGuire"
],
"categories": [
"quant-ph"
],
"title": "Quantum time ordering and degeneracy. II: Coherent population transfer between degenerate states",
"url": "https://arxiv.org/abs/quant-ph/0308015"
},
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