On Markovianity and classicality in multilevel spin–boson models

Author:

Chruściński Dariusz,Hesabi Samaneh,Lonigro Davide

Abstract

AbstractWe provide a detailed discussion about the unitary and reduced evolution induced by family of Hamiltonian models describing a multilevel system, with a ground state and a possibly multilevel excited sector, coupled to a multimode boson field via a rotating-wave interaction. We prove explicitly that the system, in the limit in which the coupling is flat with respect to the boson frequencies, is Markovian under sharp measurements in arbitrary bases; we also find necessary and sufficient conditions under which the process is classical, i.e. its family of multitime joint probability distributions satisfies the Kolmogorov consistency condition, and may thus be equivalently obtained by a classical stochastic process.

Funder

Polish National Science Center

QUSHIP

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference63 articles.

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3. Smirne, A., Egloff, D., Garcia Diaz, M., Plenio, M. B. & Huelga, S. F. Coherence and non-classicality of quantum Markov processes. Quantum Sci. Technol. 4, 01LT01 (2019).

4. Milz, S. et al. When is a non-Markovian quantum process classical?. Phys. Rev. X 10, 041049 (2020).

5. Cufaro Petroni, N. Probability and Stochastic Processes for Physicists (Springer, 2020).

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