Universal time-domain Prony fitting decomposition for optimized hierarchical quantum master equations
Zi‐Hao Chen, Yao Wang, Xiao Zheng, Rui‐Xue Xu, YiJing Yan
Abstract
In this Communication, we propose the time-domain Prony fitting decomposition (t-PFD) as an accurate and efficient exponential series method, applicable to arbitrary bath correlation functions. The resulting numerical efficiency of hierarchical equations of motion (HEOM) formalism is greatly optimized, especially in low temperature regimes that would be inaccessible with other methods. For demonstration, we calibrate the present t-PFD against the celebrated Padé spectrum decomposition method, followed by converged HEOM evaluations on the single-impurity Anderson model system.
Topics & Concepts
Formalism (music)Time domainExponential functionApplied mathematicsEquations of motionDomain decomposition methodsMaster equationQuantumStatistical physicsDecompositionMathematicsPhysicsAlgorithmMathematical analysisComputer scienceQuantum mechanicsThermodynamicsChemistryFinite element methodMusicalComputer visionArtVisual artsOrganic chemistrySpectroscopy and Quantum Chemical StudiesQuantum and electron transport phenomenaAdvanced Chemical Physics Studies