dorsal/arxiv
View SchemaStimulated Raman Adiabatic Passage (STIRAP) Among Degenerate-Level Manifolds
| Authors | Zsolt Kis, Attila Karpati, Bruce W. Shore, Nikolay V. Vitanov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412086 |
| URL | https://arxiv.org/abs/quant-ph/0412086 |
| DOI | 10.1103/PhysRevA.70.053405 |
| Journal | Physical Review A 70, 053405 (2004) |
Abstract
We examine the conditions needed to accomplish stimulated Raman adiabatic passage (STIRAP) when the three levels (g, e and f) are degenerate, with arbitrary couplings contributing to the pump-pulse interaction (g - e) and to the Stokes-pulse interaction (e-f). We show that in general a sufficient condition for complete population removal from the g set of degenerate states for arbitrary, pure or mixed, initial state is that the degeneracies should not decrease along the sequence g, e and f. We show that when this condition holds it is possible to achieve the degenerate counterpart of conventional STIRAP, whereby adiabatic passage produces complete population transfer. Indeed, the system is equivalent to a set of independent three-state systems, in each of which a STIRAP procedure can be implemented. We describe a scheme of unitary transformations that produces this result. We also examine the cases when this degeneracy constraint does not hold, and show what can be accomplished in those cases. For example, for angular momentum states when the degeneracy of the g and f levels is less than that of the e level we show how a special choice for the pulse polarizations and phases can produce complete removal of population from the g set. Our scheme can be a powerful tool for coherent control in degenerate systems, because of its robustness when selective addressing of the states is not required or impossible. We illustrate the analysis with several analytically solvable examples, in which the degeneracies originate from angular momentum orientation, as expressed by magnetic sublevels.
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"abstract": "We examine the conditions needed to accomplish stimulated Raman adiabatic\npassage (STIRAP) when the three levels (g, e and f) are degenerate, with\narbitrary couplings contributing to the pump-pulse interaction (g - e) and to\nthe Stokes-pulse interaction (e-f). We show that in general a sufficient\ncondition for complete population removal from the g set of degenerate states\nfor arbitrary, pure or mixed, initial state is that the degeneracies should not\ndecrease along the sequence g, e and f. We show that when this condition holds\nit is possible to achieve the degenerate counterpart of conventional STIRAP,\nwhereby adiabatic passage produces complete population transfer. Indeed, the\nsystem is equivalent to a set of independent three-state systems, in each of\nwhich a STIRAP procedure can be implemented. We describe a scheme of unitary\ntransformations that produces this result. We also examine the cases when this\ndegeneracy constraint does not hold, and show what can be accomplished in those\ncases. For example, for angular momentum states when the degeneracy of the g\nand f levels is less than that of the e level we show how a special choice for\nthe pulse polarizations and phases can produce complete removal of population\nfrom the g set. Our scheme can be a powerful tool for coherent control in\ndegenerate systems, because of its robustness when selective addressing of the\nstates is not required or impossible. We illustrate the analysis with several\nanalytically solvable examples, in which the degeneracies originate from\nangular momentum orientation, as expressed by magnetic sublevels.",
"arxiv_id": "quant-ph/0412086",
"authors": [
"Zsolt Kis",
"Attila Karpati",
"Bruce W. Shore",
"Nikolay V. Vitanov"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.053405",
"journal_ref": "Physical Review A 70, 053405 (2004)",
"title": "Stimulated Raman Adiabatic Passage (STIRAP) Among Degenerate-Level Manifolds",
"url": "https://arxiv.org/abs/quant-ph/0412086"
},
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