dorsal/arxiv
View SchemaA Simplified Approach to Optimally Controlled Quantum Dynamics
| Authors | Jair Botina, Herschel Rabitz, Naseem Rahman |
|---|---|
| Categories | |
| ArXiv ID | physics/9610015 |
| URL | https://arxiv.org/abs/physics/9610015 |
| DOI | 10.1063/1.471215 |
| Journal | Journal of Chemical Physics, Vol. 104, pag. 4031 ( 1996) |
Abstract
A new formalism for the optimal control of quantum mechanical physical observables is presented. This approach is based on an analogous classical control technique reported previously[J. Botina, H. Rabitz and N. Rahman, J. chem. Phys. Vol. 102, pag. 226 (1995)]. Quantum Lagrange multiplier functions are used to preserve a chosen subset of the observable dynamics of interest. As a result, a corresponding small set of Lagrange multipliers needs to be calculated and they are only a function of time. This is a considerable simplification over traditional quantum optimal control theory[S. shi and H. Rabitz, comp. Phys. Comm. Vol. 63, pag. 71 (1991)]. The success of the new approach is based on taking advantage of the multiplicity of solutions to virtually any problem of quantum control to meet a physical objective. A family of such simplified formulations is introduced and numerically tested. Results are presented for these algorithms and compared with previous reported work on a model problem for selective unimolecular reaction induced by an external optical electric field.
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"abstract": "A new formalism for the optimal control of quantum mechanical physical\nobservables is presented. This approach is based on an analogous classical\ncontrol technique reported previously[J. Botina, H. Rabitz and N. Rahman, J.\nchem. Phys. Vol. 102, pag. 226 (1995)]. Quantum Lagrange multiplier functions\nare used to preserve a chosen subset of the observable dynamics of interest. As\na result, a corresponding small set of Lagrange multipliers needs to be\ncalculated and they are only a function of time. This is a considerable\nsimplification over traditional quantum optimal control theory[S. shi and H.\nRabitz, comp. Phys. Comm. Vol. 63, pag. 71 (1991)]. The success of the new\napproach is based on taking advantage of the multiplicity of solutions to\nvirtually any problem of quantum control to meet a physical objective. A family\nof such simplified formulations is introduced and numerically tested. Results\nare presented for these algorithms and compared with previous reported work on\na model problem for selective unimolecular reaction induced by an external\noptical electric field.",
"arxiv_id": "physics/9610015",
"authors": [
"Jair Botina",
"Herschel Rabitz",
"Naseem Rahman"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1063/1.471215",
"journal_ref": "Journal of Chemical Physics, Vol. 104, pag. 4031 ( 1996)",
"title": "A Simplified Approach to Optimally Controlled Quantum Dynamics",
"url": "https://arxiv.org/abs/physics/9610015"
},
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