Infinite Grassmann time-evolving matrix product operator method in the steady state

C Guo, R Chen - Physical Review B, 2024 - APS
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 …

Real-time impurity solver using Grassmann time-evolving matrix product operators

R Chen, X Xu, C Guo - Physical Review B, 2024 - APS
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 …

Solving equilibrium quantum impurity problems on the L-shaped Kadanoff-Baym contour

R Chen, C Guo - Physical Review B, 2024 - APS
The path integral formalism is the building block of many powerful numerical methods for
quantum impurity problems. However, existing fermionic path integral-based numerical …

Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems

C Guo, R Chen - Physical Review B, 2024 - APS
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 …

Efficient construction of the Feynman-Vernon influence functional as matrix product states

C Guo, R Chen - arXiv preprint arXiv:2402.14350, 2024 - arxiv.org
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 …

Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations

X Xu, C Guo, R Chen - The Journal of Chemical Physics, 2024 - pubs.aip.org
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 …

[HTML][HTML] Simulating the Landau–Zener sweep in deeply sub-Ohmic environments

F Kahlert, V Link, R Hartmann… - The Journal of Chemical …, 2024 - pubs.aip.org
With the goal to study dissipative Landau–Zener (LZ) sweeps in realistic solid-state qubits,
we utilize novel methods from non-Markovian open quantum system dynamics that enable …