Generalized adiabatic theorem and strong-coupling limits

Year: 2019

Authors: Burgarth D., Facchi P., Nakazato H., Pascazio S., Yuasa K.

Autors Affiliation: Macquarie Univ, Ctr Engn Quantum Syst, Dept Phys & Astron, N Ryde, NSW 2109, Australia; Univ Bari, Dipartimento Fis, I-70126 Bari, Italy; Univ Bari, MECENAS, I-70126 Bari, Italy; Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy; Waseda Univ, Dept Phys, Tokyo 1698555, Japan; CNR, INO, I-50125 Florence, Italy

Abstract: We generalize Kato’s adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian, and the other driven by strong damping under a Lindbladian. We discuss the case where both mechanisms are present and provide nonperturbative error bounds. We also analyze the links with the quantum Zeno effect and dynamics.

Journal/Review: QUANTUM

Volume: 3      Pages from: 152-1  to: 152-23

More Information: We thank V. V. Albert and Z. K. Minev for discussions. DB acknowledges support by Waseda University and partial support by the EPSRC Grant No. EP/M01634X/1. This work was supported by the Top Global University Project from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan. KY was supported by the Grants-in-Aid for Scientific Research (C) (No. 18K03470) and for Fostering Joint International Research (B) (No. 18KK0073) both from the Japan Society for the Promotion of Science (JSPS), and by the Waseda University Grant for Special Research Projects (No. 2018K-262). PF and SP are supported by INFN through the project ´QUANTUM´. PF is supported by the Italian National Group of Mathematical Physics (GNFM-INdAM).
KeyWords: QUANTUM ZENO; DYNAMICS
DOI: 10.22331/q-2019-06-12-152

Citations: 31
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