dorsal/arxiv
View SchemaA General Method for Complete Population Transfer in Degenerate Systems
| Authors | Jiangbin Gong, Stuart A. Rice |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402150 |
| URL | https://arxiv.org/abs/quant-ph/0402150 |
| DOI | 10.1103/PhysRevA.69.063410 |
| Journal | Phys. Rev. A 69, 063410 (2004) |
Abstract
A simple theoretical solution to the design of a control field that generates complete population transfer from an initial state, via $N$ nondegenerate intermediate states, to one arbitrary member of $M$ ($M\leq N$) degenerate states is constructed. The full control field exploits an $(M+N-1)$-node null adiabatic state, created by designing the relative phases and amplitudes of the component fields that together make up the full field. The solution found is universal in the sense that it does not depend on the exact number of the unwanted degenerate states or their properties. The results obtained suggest that a class of multi-level quantum systems with degenerate states can be completely controllable, even under extremely strong constraints, e.g., never populating a Hilbert subspace that is only a few dimensions smaller than the whole Hilbert space.
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"abstract": "A simple theoretical solution to the design of a control field that generates\ncomplete population transfer from an initial state, via $N$ nondegenerate\nintermediate states, to one arbitrary member of $M$ ($M\\leq N$) degenerate\nstates is constructed. The full control field exploits an $(M+N-1)$-node null\nadiabatic state, created by designing the relative phases and amplitudes of the\ncomponent fields that together make up the full field. The solution found is\nuniversal in the sense that it does not depend on the exact number of the\nunwanted degenerate states or their properties. The results obtained suggest\nthat a class of multi-level quantum systems with degenerate states can be\ncompletely controllable, even under extremely strong constraints, e.g., never\npopulating a Hilbert subspace that is only a few dimensions smaller than the\nwhole Hilbert space.",
"arxiv_id": "quant-ph/0402150",
"authors": [
"Jiangbin Gong",
"Stuart A. Rice"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.063410",
"journal_ref": "Phys. Rev. A 69, 063410 (2004)",
"title": "A General Method for Complete Population Transfer in Degenerate Systems",
"url": "https://arxiv.org/abs/quant-ph/0402150"
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