12 citations · 66 across the 14 of their papers we have counts for
14 papers
Grassmann time-evolving matrix product operators for fermionic impurities coupled to a superconducting bath
Chu Guo, Wei Wu, Xiansong Xu +4
The Grassmann time-evolving matrix product operator (GTEMPO) method, which represents the Feynman-Vernon influence functional as a temporal matrix product state, has been shown to…
Time-evolving matrix product operators for off-diagonal system-bath coupling
Chu Guo, Wei Wu, Xiansong Xu +3
The time-evolving matrix product operator (TEMPO) method has proven to be a powerful method to study the long-time dynamics of bosonic impurity problems where a small system is lin…
Tensor network algorithm to solve polaron impurity problems
Ruofan Chen, Lei Gu, Chu Guo
The polaron problem is a very old problem in condensed matter physics that dates back to the thirties, but still remain largely unsolved today, especially when electron-electron in…
Scalable tensor network algorithm for quantum impurity problems
Zhijie Sun, Ruofan Chen, Zhenyu Li +1
The Grassmann time-evolving matrix product operator method has shown great potential as a general-purpose quantum impurity solver, as its numerical errors can be well-controlled an…
Path Integral Formalism for Quantum Open Systems
Ruofan Chen
This article provides a detailed derivation of the path integral formalism for both boson and fermion quantum open systems using coherent states. The formalism on the imaginary-tim…
An Algebraic Proof of Thermal Wick's Theorem
Ruofan Chen
Every many-body state can be constructed from the vacuum state by iteratively applying the creation operators, therefore the thermal expectation can be transformed into a sum of va…
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…
Grassmann Time-Evolving Matrix Product Operators for Equilibrium Quantum Impurity Problems
Ruofan Chen, Xiansong Xu, Chu Guo
Tensor-network-based methods are promising candidates to solve quantum impurity problems. They are free of sampling noises and the sign problem compared to state-of-the-art continu…