Non-Markovian dynamics arising from the strong coupling of a system to a structured
environment is essential in many applications of quantum mechanics and emerging …

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

An emergent and promising tensor-network-based impurity solver is to represent the
Feynman-Vernon influence functional as a matrix product state, where the bath is integrated …

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

Tensor-network-based methods are promising candidates to solve quantum impurity
problems (QIP). They are free of sampling noises and the sign problem compared to state-of …

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 …

We study temporal entanglement in dual-unitary Clifford circuits with probabilistic
measurements preserving spatial unitarity. We exactly characterize the temporal …

We present an approach to tame the growth of entanglement during time evolution by tensor
network methods. It combines time evolution in the complex plane with a perturbative and …

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 …

Conduction electrons interacting with a dynamic impurity can give rise to a local Fermi liquid.
The latter has the same low-energy spectrum as an ideal Fermi gas containing a static …