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Consistency of the Adiabatic Theorem

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Abstract

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, eprint quant-ph/0404147). We also critically examine a recent argument claiming that there is an inconsistency in the adiabatic theorem for closed quantum systems (K.P. Marzlin and B.C. Sanders, Phys. Rev. Lett. 93, 160408 (2004).) and point out how an incorrect manipulation of the adiabatic theorem may lead one to obtain such an inconsistent result.

PACS: 03.65.Ta, 03.65.Yz, 03.67.-a, 03.65.Vf.

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Authors and Affiliations

  1. Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George Street, Toronto, Ont., Canada, M5S 3H6

    M. S. Sarandy, L.-A. Wu & D. A. Lidar

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  1. M. S. Sarandy
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  2. L.-A. Wu
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  3. D. A. Lidar
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Correspondence to M. S. Sarandy.

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Sarandy, M.S., Wu, LA. & Lidar, D.A. Consistency of the Adiabatic Theorem. Quantum Inf Process 3, 331–349 (2004). https://doi.org/10.1007/s11128-004-7712-7

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  • DOI: https://doi.org/10.1007/s11128-004-7712-7

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