Approaching the long-time dynamics of non-Markovian open quantum systems presents a
challenging task if the bath is strongly coupled. Recent proposals address this problem …

This Perspective presents an overview of the development of the hierarchy of Davydov's
Ansätze and a few of their applications in many-body problems in computational chemical …

The time-evolving matrix product operators (TEMPO) method, which makes full use of the
Feynman-Vernon influence functional, is the state-of-the-art tensor network method for …

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 …

Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly
studied for idealized memory-less environments under the so-called Markov approximation …

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 …

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 …

Understanding the dynamics of open quantum systems in strong coupling and non-
Markovian regimes remains a formidable theoretical challenge. One popular and well …

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 …

Dissipative phase transitions in quantum systems have been largely studied under the so-
called Markovian approximation, where the environments to which the systems are coupled …