English

Shortcuts to adiabaticity for non-Hermitian systems

Quantum Physics 2015-09-18 v2

Abstract

Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on Berry's transitionless driving algorithm or on dynamical invariants. We work out the basic theory and examples described by two-level Hamiltonians: the acceleration of rapid adiabatic passage with a decaying excited level and of the dynamics of a classical particle on an expanding harmonic oscillator.

Keywords

Cite

@article{arxiv.1106.2776,
  title  = {Shortcuts to adiabaticity for non-Hermitian systems},
  author = {S. Ibáñez and S. Martínez-Garaot and Xi Chen and E. Torrontegui and J. G. Muga},
  journal= {arXiv preprint arXiv:1106.2776},
  year   = {2015}
}
R2 v1 2026-06-21T18:22:23.588Z