Non-Markovian quantum state diffusion for spin environments

Research output: Contribution to journalResearch articleContributedpeer-review



We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established non-Markovian quantum state diffusion theory, but for a spin bath instead of a Gaussian bath. The method allows us to represent the time-evolved reduced state of the system as an ensemble average of stochastically evolving pure states. We present a comprehensive theory for arbitrary linear spin environments at both zero and finite temperatures. Furthermore, we introduce a hierarchical expansion method that enables the numerical computation of the time evolution of the stochastic pure states, facilitating a numerical solution of the open system problem in relevant strong coupling regimes.


Original languageEnglish
Article number093006
Pages (from-to)1-15
Number of pages15
JournalNew Journal of Physics
Issue number9
Publication statusPublished - 4 Sept 2023

External IDs

ORCID /0000-0002-7806-3525/work/142234217
ORCID /0000-0002-1520-7931/work/142246627
Scopus 85170639923



  • open quantum systems, quantum physics, many body theory

Library keywords