Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
Tanimura, Numerically “exact” approach to open quantum dynamics: The hierarchical equations of mo- tion (heom), The Journal of Chemical Physics153, 10.1063/5.0011599 (2020)
6 Pith papers cite this work. Polarity classification is still indexing.
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A machine learning model called neural quantum propagator is introduced to efficiently solve non-Markovian quantum dynamics described by HEOM and applied to simulate spectra of the FMO complex.
A new partitioning method makes the variational polaron framework computationally feasible for large-scale quantum energy transport networks by leveraging their inherent multi-scale structure.
Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.
i-DFT computes spectral and transmission properties of correlated quantum dots from Coulomb blockade to Kondo regimes, matching many-body results at reduced cost.
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.
citing papers explorer
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On truncations of hierarchical equations of motion for finite-dimensional systems
Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
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Non-markovian neural quantum propagator and its application to the simulation of ultrafast nonlinear spectra
A machine learning model called neural quantum propagator is introduced to efficiently solve non-Markovian quantum dynamics described by HEOM and applied to simulate spectra of the FMO complex.
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Scalable framework for quantum transport across large physical networks
A new partitioning method makes the variational polaron framework computationally feasible for large-scale quantum energy transport networks by leveraging their inherent multi-scale structure.
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Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition
Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.
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Spectral and transmission properties of multiple correlated quantum dots made simple
i-DFT computes spectral and transmission properties of correlated quantum dots from Coulomb blockade to Kondo regimes, matching many-body results at reduced cost.
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Verifying Quantum Memory in the Dynamics of Spin Boson Models
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.