Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of
photophysical and photochemical processes. Since most systems of chemical interest are …

This paper reports the release of PATHSUM, a new software suite of state-of-the-art path
integral methods for studying the dynamics of single or extended systems coupled to …

The hierarchical equations of motion (HEOM), derived from the exact Feynman-Vernon path
integral, is one of the most powerful numerical methods to simulate the dynamics of open …

In this work, we present and analyze two tensor network-based influence functional
approaches for simulating the real-time dynamics of quantum impurity models such as the …

The theory of open quantum systems has many applications ranging from simulating
quantum dynamics in condensed phases to better understanding quantum-enabled …

We show how to simulate a model of many molecules with both strong coupling to many
vibrational modes and collective coupling to a single photon mode. We do this by combining …

The spin-boson (SB) model plays a central role in studies of dissipative quantum dynamics,
due to bothits conceptual importance and relevance to a number of physical systems. Here …

We introduce a numerical method to determine the Hamiltonian of mean force (HMF) Gibbs
state for a quantum system strongly coupled to a reservoir. The method adapts the time …

This work is a pedagogical survey about the hierarchical equations of motion and their
implementation with the tensor-train format. These equations are a great standard in non …

We introduce a general numerical method to compute the dynamics and multitime
correlations of chains of quantum systems, where each system may couple strongly to a …