We describe two developments of tensor network influence functionals [in particular,
influence functional matrix product states (IF-MPS)] for quantum impurity dynamics within the …

We present an infinite Grassmann time-evolving matrix product operator method for
quantum impurity problems, which directly works in the steady state. The method embraces …

The dynamics of quantum systems coupled to baths are typically studied using the Nakajima-
Zwanzig memory kernel (K) or the influence functions (I), particularly when memory effects …

The path integral formalism is the building block of many powerful numerical methods for
quantum impurity problems. However, existing fermionic path integral-based numerical …

The Grassmann time-evolving matrix product operator (GTEMPO) method has proven to be
an accurate and efficient numerical method for the real-time dynamics of quantum impurity …

The time-evolving matrix product operator (TEMPO) method has become a very competitive
numerical method for studying the real-time dynamics of quantum impurity problems. For …

Developing numerical exact solvers for open quantum systems is a challenging task due to
the non-perturbative and non-Markovian nature when coupling to structured environments …

An emergent numerical approach to solve quantum impurity problems is to encode the
impurity path integral as a matrix product state. For time-dependent problems, the cost of this …