2004
DOI: 10.1016/j.cplett.2004.07.036
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Hierarchical approach based on stochastic decoupling to dissipative systems

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Cited by 252 publications
(236 citation statements)
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“…The derivation of the hierarchy of equations of motion for this form of spectral density has been presented in previous publications 36,[39][40][41] and for completeness is presented in Appendix. From the time derivative of Eq.…”
Section: ͑13͒mentioning
confidence: 99%
“…The derivation of the hierarchy of equations of motion for this form of spectral density has been presented in previous publications 36,[39][40][41] and for completeness is presented in Appendix. From the time derivative of Eq.…”
Section: ͑13͒mentioning
confidence: 99%
“…A modified Redfield theory 32,33 has been developed to go beyond weak system-bath coupling and applied to model the effect of vibronic coupling on the electronic relaxation rates in light-harvesting proteins. 17 The hierarchy equations of motion (HEOM) [34][35][36][37][38][39][40][41][42][43] method provides a computationally expensive, yet accurate way to model open quantum systems beyond the Markovian and perturbative approximations by introducing a set of auxiliary density operators. In recent years, the multi-configuration time-dependent Hartree (MCTDH) method, [44][45][46] where the multidimensional vibrational wavefunctions are described as a linear combination of the Hartree products of single-mode wave functions, has been used to describe e.g., the role of vibronic coupling in ultrafast charge transfer dynamics at an OPV donor-acceptor heterojunction.…”
Section: Introductionmentioning
confidence: 99%
“…Both unbiased and biased two-site systems are considered with ε 12 = 0 and 100 cm −1 . To be compared with the calculation of the hierarchy equation, [35][36][37][38] a quantum bath with the Debye spectral density is applied, given by…”
Section: Quantum Kinetic Expansion In a Two-site Systemmentioning
confidence: 99%
“…In this paper, all the exact quantities are obtained using the hierarchy equation method. [35][36][37][38] In Sec. IV, the RQKE rate kernels are used to predict the detailed population evolution and are calibrated with the exact result.…”
Section: Introductionmentioning
confidence: 99%