Search for optimal driving in finite quantum systems with precursors of criticality

Felipe Matus, Jan Střeleček, Pavel Stránský, and Pavel Cejnar
Phys. Rev. A 107, 012216 – Published 23 January 2023

Abstract

Using the adiabatic perturbation theory of driven dynamics [Phys. Rev. A 78, 052508 (2008)] we design a hierarchy of quantum state preparation protocols that systematically increase the fidelity at very long driving times. We test these and other protocols, including those based on the geometric analysis of the parameter space, in a single-qubit system and in a fully connected multiqubit system showing in its infinite-size limit several quantum phase transitions. Our protocols excel in the asymptotic driving regime, above a crossover time from the Landau-Zener regime which increases with a decreasing minimal energy gap along the driving path (with the size of the system). In the medium-time domain, the performance of all tested protocols is indecisive.

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  • Received 20 October 2022
  • Accepted 9 January 2023

DOI:https://doi.org/10.1103/PhysRevA.107.012216

©2023 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Felipe Matus*, Jan Střeleček, Pavel Stránský, and Pavel Cejnar§

  • Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague, Czechia

  • *matus@ipnp.mff.cuni.cz
  • strelecek@ipnp.mff.cuni.cz
  • stransky@ipnp.mff.cuni.cz
  • §cejnar@ipnp.mff.cuni.cz

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Issue

Vol. 107, Iss. 1 — January 2023

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