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Infinite Grassmann time-evolving matrix product operators for quantum impurity problems after a quench
Zhijie Sun, Ruofan Chen, Zhenyu Li +1
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 a…
Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
Xiansong Xu, Chu Guo, Ruofan Chen
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. The…
Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
Ruofan Chen, Chu Guo
The path integral formalism is the building block of many powerful numerical methods for quantum impurity problems. However, existing fermionic path integral based numerical calcul…
Infinite Grassmann time-evolving matrix product operator method for zero-temperature equilibrium quantum impurity problems
Chu Guo, Ruofan Chen
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 probl…
Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
Chu Guo, Ruofan Chen
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 well-…
Efficient construction of the Feynman-Vernon influence functional as matrix product states
Chu Guo, Ruofan Chen
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 small…
Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
Ruofan Chen, Xiansong Xu, Chu Guo
An emergent and promising tensor-network-based impurity solver is to represent the path integral as a matrix product state, where the bath is analytically integrated out using Feyn…