Generalized adiabatic theorem and strong-coupling limits

Daniel Burgarth; Paolo Facchi; Hiromichi Nakazato; Saverio Pascazio; Kazuya Yuasa

doi:10.22331/q-2019-06-12-152

Generalized adiabatic theorem and strong-coupling limits

Daniel Burgarth^*, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, Kazuya Yuasa

^*Corresponding author for this work

ARC Centre of Excellence for Engineered Quantum Systems (EQuS)

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

34 Downloads (Pure)

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.

Original language	English
Article number	152
Pages (from-to)	1-23
Number of pages	23
Journal	Quantum
Volume	3
DOIs	https://doi.org/10.22331/q-2019-06-12-152
Publication status	Published - 12 Jun 2019

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Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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Publisher version (open access)Final published version, 2.02 MBLicence: CC BY

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AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Nakazato, Hiromichi

AU - Pascazio, Saverio

AU - Yuasa, Kazuya

N1 - Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

PY - 2019/6/12

Y1 - 2019/6/12

N2 - 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.

AB - 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.

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JO - Quantum

JF - Quantum

M1 - 152

ER -

Generalized adiabatic theorem and strong-coupling limits

Abstract

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