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Volume 1, Issue 1
Shortcut to Adiabaticity in Harmonic Traps

Xi Chen, A. Ruschhaupt, S. Schmidt, S. Ibáñez & J. G. Muga

DOI: 10.4208/jams.012910.021010a

J. At. Mol. Sci., 1 (2010), pp. 1-17.

Published online: 2010-01

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  • Abstract

We review the methods to preserve the initial state populations in a fast harmonic trap expansion. The design of the time dependence of the frequency using inverse techniques presents advantages over the slow adiabatic approach, band-bang methods, or the non-local "transitionless tracking'' algorithm. Many operations with cold atoms make use of adiabatic expansions and would benefit from such a shortcut to adiabaticity.

  • Keywords

adiabatic process, atom cooling, quantum harmonic oscillator.

  • AMS Subject Headings

34A55, 35R30, 74J25, 62J02, 93A30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JAMS-1-1, author = {Xi Chen, A. Ruschhaupt, S. Schmidt, S. Ibáñez and J. G. Muga}, title = {Shortcut to Adiabaticity in Harmonic Traps}, journal = {Journal of Atomic and Molecular Sciences}, year = {2010}, volume = {1}, number = {1}, pages = {1--17}, abstract = {

We review the methods to preserve the initial state populations in a fast harmonic trap expansion. The design of the time dependence of the frequency using inverse techniques presents advantages over the slow adiabatic approach, band-bang methods, or the non-local "transitionless tracking'' algorithm. Many operations with cold atoms make use of adiabatic expansions and would benefit from such a shortcut to adiabaticity.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.012910.021010a}, url = {http://global-sci.org/intro/article_detail/jams/8061.html} }
TY - JOUR T1 - Shortcut to Adiabaticity in Harmonic Traps AU - Xi Chen, A. Ruschhaupt, S. Schmidt, S. Ibáñez & J. G. Muga JO - Journal of Atomic and Molecular Sciences VL - 1 SP - 1 EP - 17 PY - 2010 DA - 2010/01 SN - 1 DO - http://doi.org/10.4208/jams.012910.021010a UR - https://global-sci.org/intro/article_detail/jams/8061.html KW - adiabatic process, atom cooling, quantum harmonic oscillator. AB -

We review the methods to preserve the initial state populations in a fast harmonic trap expansion. The design of the time dependence of the frequency using inverse techniques presents advantages over the slow adiabatic approach, band-bang methods, or the non-local "transitionless tracking'' algorithm. Many operations with cold atoms make use of adiabatic expansions and would benefit from such a shortcut to adiabaticity.

Xi Chen, A. Ruschhaupt, S. Schmidt, S. Ibáñez and J. G. Muga. (2010). Shortcut to Adiabaticity in Harmonic Traps. Journal of Atomic and Molecular Sciences. 1 (1). 1-17. doi:10.4208/jams.012910.021010a
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