Generalized Adiabatic Theorem and Strong-Coupling Limits-Reference-Cited by-同舟云学术

Generalized Adiabatic Theorem and Strong-Coupling Limits

Published:2019-06-12 Issue: Volume:3 Page:152
ISSN:2521-327X
Container-title:Quantum
language:en
Short-container-title:Quantum

Author:

Burgarth Daniel¹^ORCID,Facchi Paolo²³^ORCID,Nakazato Hiromichi⁴^ORCID,Pascazio Saverio²³⁵^ORCID,Yuasa Kazuya⁴^ORCID

Affiliation:

1. Center for Engineered Quantum Systems, Dept. of Physics & Astronomy, Macquarie University, 2109 NSW, Australia

2. Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, Italy

3. INFN, Sezione di Bari, I-70126 Bari, Italy

4. Department of Physics, Waseda University, Tokyo 169-8555, Japan

5. Istituto Nazionale di Ottica (INO-CNR), I-50125 Firenze, 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.

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics

Link

https://quantum-journal.org/papers/q-2019-06-12-152/pdf/

Reference47 articles.

1. Quantum Error Correction, edited by D. A. Lidar and T. A. Brun (Cambridge University Press, New York, 2013).

2. B. Misra and E. C. G. Sudarshan, The Zeno's Paradox in Quantum Theory, J. Math. Phys. 18, 756 (1977).

3. P. Facchi and S. Pascazio, Quantum Zeno Subspaces, Phys. Rev. Lett. 89, 080401 (2002).

4. P. Facchi, Quantum Zeno Effect, Adiabaticity and Dynamical Superselection Rules, in Fundamental Aspects of Quantum Physics, Vol. 17 of QP-PQ: Quantum Probability and White Noise Analysis, edited by L. Accardi and S. Tasaki (World Scientific, Singapore, 2003), pp. 197-221.

5. E. B. Davies, Markovian Master Equations, Commun. Math. Phys. 39, 91 (1974).

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