# Optimal quantum control of Bose-Einstein condensates in magnetic microtraps

## Abstract

Transport of Bose-Einstein condensates in magnetic microtraps, controllable by external parameters such as wire currents or radio-frequency fields, is studied within the framework of optimal control theory (OCT). We derive from the Gross-Pitaevskii equation the optimality system for the OCT fields that allow efficient channeling of the condensate between given initial and desired states. For a variety of magnetic confinement potentials we study transport and wave-function splitting of the condensate, and demonstrate that OCT drastically outperforms simpler schemes for the time variation of the microtrap control parameters.

- Authors:

- Institut fuer Physik, Karl-Franzens-Universitaet Graz, Universitaetsplatz 5, 8010 Graz (Austria)
- Institut fuer Mathematik, Karl-Franzens-Universitaet Graz, Heinrichstrasse 36, 8010 Graz (Austria)
- Atominstitut der Oesterreichischen Universitaeten, TU-Wien, Stadionallee 2, 1020 Wien (Austria)

- Publication Date:

- OSTI Identifier:
- 20982153

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.023602; (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; BOSE-EINSTEIN CONDENSATION; CHANNELING; CURRENTS; MAGNETIC CONFINEMENT; OPTIMAL CONTROL; RADIOWAVE RADIATION; TRAPS; WAVE FUNCTIONS

### Citation Formats

```
Hohenester, Ulrich, Rekdal, Per Kristian, Borzi, Alfio, and Schmiedmayer, Joerg.
```*Optimal quantum control of Bose-Einstein condensates in magnetic microtraps*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.023602.

```
Hohenester, Ulrich, Rekdal, Per Kristian, Borzi, Alfio, & Schmiedmayer, Joerg.
```*Optimal quantum control of Bose-Einstein condensates in magnetic microtraps*. United States. doi:10.1103/PHYSREVA.75.023602.

```
Hohenester, Ulrich, Rekdal, Per Kristian, Borzi, Alfio, and Schmiedmayer, Joerg. Thu .
"Optimal quantum control of Bose-Einstein condensates in magnetic microtraps". United States.
doi:10.1103/PHYSREVA.75.023602.
```

```
@article{osti_20982153,
```

title = {Optimal quantum control of Bose-Einstein condensates in magnetic microtraps},

author = {Hohenester, Ulrich and Rekdal, Per Kristian and Borzi, Alfio and Schmiedmayer, Joerg},

abstractNote = {Transport of Bose-Einstein condensates in magnetic microtraps, controllable by external parameters such as wire currents or radio-frequency fields, is studied within the framework of optimal control theory (OCT). We derive from the Gross-Pitaevskii equation the optimality system for the OCT fields that allow efficient channeling of the condensate between given initial and desired states. For a variety of magnetic confinement potentials we study transport and wave-function splitting of the condensate, and demonstrate that OCT drastically outperforms simpler schemes for the time variation of the microtrap control parameters.},

doi = {10.1103/PHYSREVA.75.023602},

journal = {Physical Review. A},

number = 2,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}

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