One bound to rule them all: from Adiabatic to Zeno

Daniel Burgarth, Paolo Facchi, Giovanni Gramegna, Kazuya Yuasa

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We derive a universal nonperturbative bound on the distance between unitary evolutions generated by time-dependent Hamiltonians in terms of the difference of their integral actions. We apply our result to provide explicit error bounds for the rotating-wave approximation and generalize it beyond the qubit case. We discuss the error of the rotating-wave approximation over long time and in the presence of time-dependent amplitude modulation. We also show how our universal bound can be used to derive and to generalize other known theorems such as the strong-coupling limit, the adiabatic theorem, and product formulas, which are relevant to quantum-control strategies including the Zeno control and the dynamical decoupling. Finally, we prove generalized versions of the Trotter product formula, extending its validity beyond the standard scaling assumption.

本文言語English
論文番号737
ジャーナルQuantum
6
DOI
出版ステータスPublished - 2022

ASJC Scopus subject areas

  • 原子分子物理学および光学
  • 物理学および天文学(その他)

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