Quantum regression beyond the Born-Markov approximation for generalized spin-boson models

Davide Lonigro and Dariusz Chruściński
Phys. Rev. A 105, 052435 – Published 23 May 2022

Abstract

The quantum regression formula for an open quantum system consists in an infinite hierarchy of conditions for its multitime correlation functions, thus requiring full access to the total “system+environment” evolution, and providing a stronger requirement than completely positive (CP) divisibility. Here, we analyze CP divisibility and check the validity of quantum regression beyond the Born-Markov approximation (e.g., the weak-coupling limit) for a class of generalized spin-boson models giving rise to a multilevel amplitude-damping evolution; in all cases, it is possible to engineer the system-bath coupling in such a way that quantum regression is exactly satisfied.

  • Received 4 February 2022
  • Accepted 11 May 2022

DOI:https://doi.org/10.1103/PhysRevA.105.052435

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Davide Lonigro1,2,* and Dariusz Chruściński3,†

  • 1Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, Italy
  • 2Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari, Italy
  • 3Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5/7, 87-100 Toruń, Poland

  • *davide.lonigro@ba.infn.it
  • darch@fizyka.umk.pl

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Issue

Vol. 105, Iss. 5 — May 2022

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