An open quantum system refers to a system that is further coupled to a bath system
consisting of surrounding radiation fields, atoms, molecules, or proteins. The bath system is …

Numerical simulation has become a major tool in quantum electronics both for fundamental
and applied purposes. While for a long time those simulations focused on stationary …

Measuring the nonlinear response of electrons and nuclei to attosecond broadband X-ray
radiation has become possible by newly developed free electron lasers and high harmonic …

We review one of the most versatile theoretical approaches to the study of time-dependent
correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) …

We present a hierarchical equations of motion approach, which allows a numerically exact
simulation of nonequilibrium transport in general open quantum systems involving multiple …

A new scheme for numerically solving the equations arising in the time-dependent non-
equilibrium Green's function formalism is developed. It is based on an auxiliary-mode …

The hierarchical quantum master equation (HQME) approach is an accurate method to
describe quantum transport in interacting nanosystems. It generalizes perturbative master …

A practical first-principles scheme for time-dependent transport through realistic systems at
finite temperature is established by the combination of time-dependent density functional …

In this work, we develop a time-dependent extension of the Landauer-Büttiker approach to
study transient dynamics in time-dependent quantum transport through molecular junctions …

A simple method that accurately captures the dynamics of metal–molecule–metal junctions
under the influence of time-dependent driving forces is presented. In the method, the …