Witness for initial system-environment correlations in open-system dynamics

By Elsi-Mari Laine, Jyrki Piilo, H. Breuer. 2010

149 citations recorded by the source corpus.

We study the evolution of a general open quantum system when the system and its environment are initially correlated. We show that the trace distance between two states of the open system can increase above its initial value, and derive tight upper bounds for the growth of the distinguishability of open-system states. This represents a generalization of the contraction property of quantum dynamical maps. The obtained inequalities can be interpreted in terms of the exchange of information between the system and the environment, and lead to a witness for system-environment correlations which can be determined through measurements on the open system alone.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6cb36366099b8e8e86f9ba533b3dd8a93df10e94

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Dynamics of non-Markovian open quantum systems (2015, background): “An initial flow of information from the environment to the system has been found by Laine et al. (2010) to be linked to the presence of initial correlations between the system and the environment.”
Colloquium: Non-Markovian dynamics in open quantum systems (2015, background): “Employing the properties of the trace distance one can derive the following general inequality (Laine et al., 2010b) which holds for all t > 0: Iext(t)6 D(ρ1SE(t), ρ1S(t)⊗ ρ1E(t)) (33) +D(ρ2SE(t), ρ 2 S(t)⊗ ρ2E(t)) +D(ρ1E(t), ρ2E(t)).”