A1 Refereed original research article in a scientific journal
Diffusive Limit of Non-Markovian Quantum Jumps
Authors: Kimmo Luoma, Walter T. Strunz, Jyrki Piilo
Publisher: AMER PHYSICAL SOC
Publication year: 2020
Journal: Physical Review Letters
Journal name in source: PHYSICAL REVIEW LETTERS
Journal acronym: PHYS REV LETT
Article number: ARTN 150403
Volume: 125
Issue: 15
Number of pages: 6
ISSN: 0031-9007
eISSN: 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.125.150403(external)
Web address : https://doi.org/10.1103/PhysRevLett.125.150403(external)
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/50729962(external)
We solve two long-standing problems for stochastic descriptions of open quantum system dynamics. First, we find the classical stochastic processes corresponding to non-Markovian quantum state diffusion and non-Markovian quantum jumps in projective Hilbert space. Second, we show that the diffusive limit of non-Markovian quantum jumps can be taken on the projective Hilbert space in such a way that it coincides with non-Markovian quantum state diffusion. However, the very same limit taken on the Hilbert space leads to a completely new diffusive unraveling, which we call non-Markovian quantum diffusion. Further, we expand the applicability of non-Markovian quantum jumps and non-Markovian quantum diffusion by using a kernel smoothing technique allowing a significant simplification in their use. Lastly, we demonstrate the applicability of our results by studying a driven dissipative two level atom in a non-Markovian regime using all of the three methods.
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