This work presents a small matrix decomposition of the modular path integral for spin arrays or molecular aggregates, which leads to an iterative treatment with respect to the units that comprise the system and the propagation time.
The problem of a Brownian particle in a super-Ohmic bath under the effect of a periodic tilted potential is studied. The quantum dissipative dynamics is formulated in terms of the influence functional and the path integrals are calculated explicitly and analytically.
Small matrix disentanglement of the path integral: Overcoming the exponential tensor scaling with memory length
