English

Multiple Schr\"odinger pictures and dynamics in shortcuts to adiabaticity

Quantum Physics 2015-06-03 v1

Abstract

A Schr\"odinger 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 Schr\"odinger 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.

Keywords

Cite

@article{arxiv.1112.5522,
  title  = {Multiple Schr\"odinger pictures and dynamics in shortcuts to adiabaticity},
  author = {S. Ibáñez and Xi Chen and E. Torrontegui and A. Ruschhaupt and J. G. Muga},
  journal= {arXiv preprint arXiv:1112.5522},
  year   = {2015}
}