We investigate the conditions under which the trace distance between two different states of a given open system increases in time due to the interaction with an environment, therefore signaling non-Markovianity. We find that the finite-time difference in trace distance is bounded by two sharply defined quantities that are strictly linked to the occurrence of system-environment correlations created throughout their interaction and affecting the subsequent evolution of the system. This allows us to shed light on the origin of non-Markovian behaviors in quantum dynamics. We best illustrate our findings by tackling two physically relevant examples: a non-Markovian dephasing mechanism that has been the focus of a recent experimental endeavor and the open-system dynamics experienced by a spin connected to a finite-size quantum spin chain.
|Number of pages||8|
|Journal||Physical Review A (Atomic, Molecular, and Optical Physics)|
|Publication status||Published - 22 May 2013|
- SYSTEM-ENVIRONMENT CORRELATIONS
- REGRESSION THEOREM
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics