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Updated: Aug 12, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
On Markovianity and classicality in multilevel spin-boson models
Dariusz Chruściński1, Samaneh Hesabi2, Davide Lonigro3,4
1Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5/7, 87-100, Toruń, Poland. darch@fizyka.umk.pl.
Abstract:
We 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.
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