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Title: 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:
;  [1];  [2];  [3]
  1. Institut fuer Physik, Karl-Franzens-Universitaet Graz, Universitaetsplatz 5, 8010 Graz (Austria)
  2. Institut fuer Mathematik, Karl-Franzens-Universitaet Graz, Heinrichstrasse 36, 8010 Graz (Austria)
  3. 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}
}