Small Matrix Path Integral for Driven Dissipative Dynamics

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The small matrix decomposition of the quasi-adiabatic propagator path integral (SMatPI) for a system coupled to a harmonic bath, which accounts for multitime memory correlations in the influence functional without the use of tensors, is extended to include a time-dependent term that drives the system. In the case of a periodic field, the algorithm requires the construction of SMatPI matrices initialized over a short time interval. The SMatPI algorithm circumvents the large array storage of tensor-based iterative path integral decompositions and, in the case of a periodic field, also eliminates the demanding tensor multiplication at each time step, leading to dramatic savings which allow the fully quantum mechanical treatment of multistate systems and long-memory environments.

Original languageEnglish (US)
Pages (from-to)10500-10506
Number of pages7
JournalJournal of Physical Chemistry A
Issue number48
StatePublished - Dec 9 2021

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry


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