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The "hierarchical equations of motion" (HEOM) method is a powerful exact numerical approach to solve the dynamics and find the steady-state of a quantum system coupled to a non-Markovian and non-perturbative environment.
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Y. Tanimura, Numerically exact approach to open quantum dynamics: The hierarchical equations of motion (HEOM), The Journal of Chemical Physics 153
2020
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T. Ikeda and G. D. Scholes, Generalization of the hierarchical equations of motion theory for efficient calculations with arbitrary correlation functions, The Journal of Chemical Physics 152
2020
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A. Ishizaki, Prerequisites for relevant spectral density and convergence of reduced density matrices at low temperatures, Journal of the Physical Society of Japan 89
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J. K. Sowa, N. Lambert, T. Seideman, and E. M. Gauger, Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions. II. A self-consistent Born approach, The Journal of Chemical Physics 152
2020
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2022
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B. Li, S. Ahmed, S. Saraogi, N. Lambert, F. Nori, A. Pitchford, and N. Shammah, Pulse-level noisy quantum circuits with qutip, Quantum 6
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https://github.com/qutip/qutip-notebooks/blob/master/examples/heom/heom-index.ipynb (2022)
2022
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