Two-Time Correlation Functions in Dissipative and Interacting Bose-Hubbard Chains

Understand

A method is presented for the systematic derivation of a hierarchy of coupled equations for the computation of two-time correlation functions of operators for open many-body quantum systems.

• We show how these systems of equations can be closed in mean-field and beyond approximations.
• Results for the specific example of the spectral weight functions are discussed.
• Our method allows one to access the full temporal evolution, not just the stationary solution, of non-equilibrium open quantum problems described by a Markovian master equation.