Generalized adiabatic theorem and strong-coupling limits

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

Generalized adiabatic theorem and strong-coupling limits

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

School of Advanced Science and Engineering

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

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
Journal	Unknown Journal
Publication status	Published - 2018 Jul 5

ASJC Scopus subject areas

General

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title = "Generalized adiabatic theorem and strong-coupling limits",

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.",

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year = "2018",

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AU - Burgarth, Daniel

AU - Facchi, Paolo

AU - Nakazato, Hiromichi

AU - Pascazio, Saverio

AU - Yuasa, Kazuya

PY - 2018/7/5

Y1 - 2018/7/5

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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