Hierarchical equations of motion - Wikipedia The hierarchical equations of motion (HEOM) technique derived by Yoshitaka Tanimura and Ryogo Kubo in 1989, [1] is a non-perturbative approach developed to study the evolution of a density matrix of quantum dissipative systems
hierarchical equations of motion (HEOM) - arXiv. org HEOM and their characteristic features In Sec IV, we demonstrate the accuracy of the HEOM by numeri-cally \exact" tests In Sec V, we illustrate he variety of HEOM for various systems In Sec VI, we review v ri-ous applications of the HEOM theory We present future p rsp II SYSTEM
Tensor Network HEOM study of cavity induced modifications of reaction . . . The dynamics for the resulting open quantum system can be solved for, using the hierarchical equation of motion (HEOM) approach, where the continuum of bath modes is accurately approximated by a handful of unphysical modes that are then time-evolved with the system, using tensor network based algorithms such as tdvp
Hierarchical Equations of Motion | QuantumToolbox. jl We introduce an efficient Julia framework for HEOM approach called HierarchicalEOM jl This package is built upon QuantumToolbox jl and provides a user-friendly and efficient tool to simulate complex open quantum systems based on HEOM approach
Strongly-coupled non-Markovian waveguide QED with input-output HEOM We consider the problem of modeling a single qubit in contact with a one-dimensional waveguide beyond the standard perturbative and Markovian approximations Using the recently developed input-output hierarchical equations of motion (io-HEOM), we investigate multiple examples of such waveguides, characterized by different spectral densities Our examples highlight that the io-HEOM method can
Numerically “exact” approach to open quantum dynamics: The hierarchical . . . The hierarchical equations of motion (HEOM) can describe the numerically “exact” dynamics of a reduced system under nonperturbative and non-Markovian system–bath interactions, which has been verified on the basis of exact analytical solutions (non-Markovian tests) with any desired numerical accuracy
Hierarchical Equations of Motion for Quantum Chemical Dynamics: Recent . . . In this Account, we review recent progress from our group in development and application of the hierarchical equations of motion (HEOM) method, highlighting its ability to address some challenging problems in quantum chemical dynamics