Is the Adiabatic Approximation Inconsistent?

Solomon Duki; H. Mathur; Onuttom Narayan

Is the Adiabatic Approximation Inconsistent?

量子物理 2007-05-23 v2

作者: Solomon Duki , H. Mathur , Onuttom Narayan

摘要

Marzlin and Sanders \cite{marzlin} have shown rigorously that the adiabatic approximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that generates the evolution $U^{\dagger} (t)$ even if it gives an excellent approximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$ . We show that this is not inconsistent with the adiabatic theorem and find that in general even if $h(t)$ satisfies the conditions of the adiabatic theorem, $H(t)$ will likely violate those conditions.

引用

@article{arxiv.quant-ph/0510131,
  title  = {Is the Adiabatic Approximation Inconsistent?},
  author = {Solomon Duki and H. Mathur and Onuttom Narayan},
  journal= {arXiv preprint arXiv:quant-ph/0510131},
  year   = {2007}
}

备注

Expanded discussion of connection between Refs.[7] and [8] included

Is the Adiabatic Approximation Inconsistent?

摘要

引用

备注

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