dorsal/arxiv
View SchemaOptimal control of time-dependent targets
| Authors | I. Serban, J. Werschnik, E. K. U. Gross |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409124 |
| URL | https://arxiv.org/abs/quant-ph/0409124 |
| DOI | 10.1103/PhysRevA.71.053810 |
| Journal | Phys. Rev. A 71, 053810 (2005) |
Abstract
In this work, we investigate how and to which extent a quantum system can be driven along a prescribed path in Hilbert space by a suitably shaped laser pulse. To calculate the optimal, i.e., the variationally best pulse, a properly defined functional is maximized. This leads to a monotonically convergent algorithm which is computationally not more expensive than the standard optimal-control techniques to push a system, without specifying the path, from a given initial to a given final state. The method is successfully applied to drive the time-dependent density along a given trajectory in real space and to control the time-dependent occupation numbers of a two-level system and of a one-dimensional model for the hydrogen atom.
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"abstract": "In this work, we investigate how and to which extent a quantum system can be\ndriven along a prescribed path in Hilbert space by a suitably shaped laser\npulse. To calculate the optimal, i.e., the variationally best pulse, a properly\ndefined functional is maximized. This leads to a monotonically convergent\nalgorithm which is computationally not more expensive than the standard\noptimal-control techniques to push a system, without specifying the path, from\na given initial to a given final state. The method is successfully applied to\ndrive the time-dependent density along a given trajectory in real space and to\ncontrol the time-dependent occupation numbers of a two-level system and of a\none-dimensional model for the hydrogen atom.",
"arxiv_id": "quant-ph/0409124",
"authors": [
"I. Serban",
"J. Werschnik",
"E. K. U. Gross"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.053810",
"journal_ref": "Phys. Rev. A 71, 053810 (2005)",
"title": "Optimal control of time-dependent targets",
"url": "https://arxiv.org/abs/quant-ph/0409124"
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