Diffusive Limit of Non-Markovian Quantum Jumps

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

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.

Details

OriginalspracheEnglisch
Seiten (von - bis)1-6
Seitenumfang6
FachzeitschriftPhys. Rev. Lett.
Ausgabenummer150403
PublikationsstatusVeröffentlicht - 2020
Peer-Review-StatusJa

Externe IDs

Scopus 85093363047
ORCID /0000-0002-7806-3525/work/142234173

Schlagworte

Schlagwörter

  • non-markovian, stochastic processes, Hilbert space