Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time
DE Makarov, N Makri - Chemical physics letters, 1994 - Elsevier
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 …
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 …
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