TY - JOUR

T1 - Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time

AU - Makarov, Dmitrii E.

AU - Makri, Nancy

PY - 1994/4/29

Y1 - 1994/4/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001727712&partnerID=8YFLogxK

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U2 - 10.1016/0009-2614(94)00275-4

DO - 10.1016/0009-2614(94)00275-4

M3 - Article

AN - SCOPUS:0001727712

VL - 221

SP - 482

EP - 491

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 5-6

ER -