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Nonperturbative Open Quantum Dynamics Bypass Influence Functional
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An ordered moment approach to exact open quantum dynamics is presented, which bypasses the Feynman-Vernon influence functional formalism. The hierarchical equations of motion are constructed using Wick's contraction, which follows specific orderings of the bath's creation and annihilation operators. Our approach moves beyond the traditional influence functional formalism, offering a more intuitive and direct framework, and extends the applicability of theory to nonlinear system--bath coupling scenarios.
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Cited by 2 Pith papers
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Charge transport limited by nonlocal electron-phonon interaction. I. Hierarchical equations of motion approach
HEOM auxiliaries are expressed through phonon operators, the generalized Wick theorem is proved, and exact mobility is computed for the 1D Peierls model.
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Markovian Embeddings of Non-Markovian Open System Dynamics
Different Markovian embedding schemes for non-Markovian open quantum systems are shown to be different unravelings of the same Gaussian bath self-energy, related by Bogoliubov transformations.
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