Diffusive Limit of Non-Markovian Quantum Jumps



: Kimmo Luoma, Walter T. Strunz, Jyrki Piilo

Publisher: AMER PHYSICAL SOC

: 2020

: Physical Review Letters

: PHYSICAL REVIEW LETTERS

: PHYS REV LETT

: ARTN 150403

: 125

: 15

: 6

: 0031-9007

: 1079-7114

DOI: https://doi.org/10.1103/PhysRevLett.125.150403

: https://doi.org/10.1103/PhysRevLett.125.150403

: https://research.utu.fi/converis/portal/detail/Publication/50729962


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.

Last updated on 2024-26-11 at 12:08