Adiabatic theorem revisited: The unexpectedly good performance of adiabatic passage

Albert Benseny and Klaus Mølmer
Phys. Rev. A 103, 062215 – Published 16 June 2021

Abstract

Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time-evolving state may deviate from the adiabatic eigenstate at intermediate times, but in numerous applications it is observed that this deviation reaches a maximum and then decreases significantly towards the end of the process. We provide a straightforward theoretical explanation for this welcome but often unappreciated fact. Our analysis emphasizes a separate adiabaticity criterion for high-fidelity state-to-state transfer and it points to new effective shortcut strategies for near-adiabatic dynamics.

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  • Received 23 November 2020
  • Revised 12 May 2021
  • Accepted 1 June 2021

DOI:https://doi.org/10.1103/PhysRevA.103.062215

©2021 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Albert Benseny*

  • Q-CTRL, Sydney (NSW, Australia) and Los Angeles (CA, USA), Sydney, NSW 2009, Australia

Klaus Mølmer

  • Center for Complex Quantum Systems, Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, DK-8000, Aarhus C, Denmark

  • *albert.benseny@q-ctrl.com
  • moelmer@phys.au.dk

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Issue

Vol. 103, Iss. 6 — June 2021

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