Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time

Dmitrii E. Makarov, Nancy Makri

Research output: Contribution to journalArticlepeer-review

Abstract

Feynman's influence functional that arises from many-particle environments is nonlocal in time but the nonlocality has finite range, even at very low temperature. Use of our numerically constructed quasi-adiabatic propagators permits large time steps in the path integral, such that the nonlocality of the influence functional spans only a few time steps. We exploit these observations to propose an iterative scheme for the evaluation of path integrals by stepwise multiplication of a propagator tensor, thereby making exact quantum dynamics calculations in condensed phase systems feasible for arbitrarily long times.

Original languageEnglish (US)
Pages (from-to)482-491
Number of pages10
JournalChemical Physics Letters
Volume221
Issue number5-6
DOIs
StatePublished - Apr 29 1994

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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