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arXiv · 1112.5522

Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity

S. Ibáñez·Xi Chen·E. Torrontegui·A. Ruschhaupt·J. G. Muga
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Abstract

A Schrödinger equation may be transformed by unitary operators into dynamical equations in different interaction pictures which share with it a common physical frame, i.e., the same underlying interactions, processes and dynamics. In contrast to this standard scenario, other relations are also possible, such as a common interaction-picture dynamical equation corresponding to several Schrödinger equations that represent different physics. This may enable us to design alternative and feasible experimental routes for operations that are a priori difficult or impossible to perform. The power of this concept is exemplified by engineering Hamiltonians that improve the performance or make realizable several shortcuts to adiabaticity.

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S. Ibáñez, Xi Chen, E. Torrontegui, A. Ruschhaupt, J. G. Muga. 2011-12-23. Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity. https://doi.org/10.1103/physrevlett.109.100403

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