Numerically exact wavepacket calculations have been performed on a subsyste
m coupled to an explicitly treated finite bath, using recently developed te
chniques within the framework of the multiconfiguration time-dependent Hart
ree (MCTDH) method. The subsystem of 4 nuclear modes and 2 interacting elec
tronic states was coupled to a bath of up to 20 harmonic oscillators. The r
esults show that the presence of the bath leads to a clear, long-lived stru
cture in the autocorrelation function. Surprisingly, this regular structure
becomes more dominant as the number of bath modes is increased, and is due
to excited states above the conical intersection. Furthermore, it lasts fo
r times much longer than that of the inter-state population relaxation proc
ess. (C) 1999 Elsevier Science B.V. All rights reserved.