# Optimal control of a symmetric double quantum-dot nanostructure: Analytical results

## Abstract

We study the potential for optimal control of a symmetric double quantum-dot structure interacting with a single pulsed electromagnetic field. We first use the rotating wave and resonant approximations and reduce the dynamics of the system to that of a degenerate three-level {lambda}-type system. We also formulate the optimal control problem in terms of differential equations that have to be fulfilled by the optimal electromagnetic fields. We then obtain general analytical expressions for the optimal pulse shapes that lead to global maximization of the final population of the target state and of the time-averaged population of the target state in the quantum-dot structure.

- Authors:

- Physics Department, School of Natural Sciences, University of Patras, Patras 265 04 (Greece)
- Materials Science Department, School of Natural Sciences, University of Patras, Patras 265 04 (Greece)

- Publication Date:

- OSTI Identifier:
- 20951424

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 75; Journal Issue: 19; Other Information: DOI: 10.1103/PhysRevB.75.193305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC FIELDS; OPTIMAL CONTROL; PULSE SHAPERS; QUANTUM DOTS; SEMICONDUCTOR MATERIALS

### Citation Formats

```
Kosionis, S. G., Terzis, A. F., and Paspalakis, E.
```*Optimal control of a symmetric double quantum-dot nanostructure: Analytical results*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVB.75.193305.

```
Kosionis, S. G., Terzis, A. F., & Paspalakis, E.
```*Optimal control of a symmetric double quantum-dot nanostructure: Analytical results*. United States. doi:10.1103/PHYSREVB.75.193305.

```
Kosionis, S. G., Terzis, A. F., and Paspalakis, E. Tue .
"Optimal control of a symmetric double quantum-dot nanostructure: Analytical results". United States.
doi:10.1103/PHYSREVB.75.193305.
```

```
@article{osti_20951424,
```

title = {Optimal control of a symmetric double quantum-dot nanostructure: Analytical results},

author = {Kosionis, S. G. and Terzis, A. F. and Paspalakis, E.},

abstractNote = {We study the potential for optimal control of a symmetric double quantum-dot structure interacting with a single pulsed electromagnetic field. We first use the rotating wave and resonant approximations and reduce the dynamics of the system to that of a degenerate three-level {lambda}-type system. We also formulate the optimal control problem in terms of differential equations that have to be fulfilled by the optimal electromagnetic fields. We then obtain general analytical expressions for the optimal pulse shapes that lead to global maximization of the final population of the target state and of the time-averaged population of the target state in the quantum-dot structure.},

doi = {10.1103/PHYSREVB.75.193305},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

number = 19,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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