An optically excited Rydberg wavepacket can be generated by exciting the el
ectron from a low-lying state to a coherent superposition of high-lying sta
tes with a short broadband optical pulse. A special kind of Rydberg wavepac
ket is generated in the case of a interaction of a weak THz half cycle puls
e with a stationary Rydberg state, called the THz; wavepacket. This THz wav
epacket is a coherent superposition of the initial Rydberg state and its ne
ighbouring states. We have investigated the time evolution of THz wavepacke
ts by measuring the impact of two in time delayed half cycle pulses (approx
imate to 200 V cm(-1)) on the population of a stationary (n = 40) Rydberg s
tate in rubidium. The first half cycle pulse creates the THz wavepacket and
the second half cycle pulse probes the dynamics of the THz wavepacket. We
support our experimental data by numerically solving the Schrodinger equati
on and with a semi-classical picture. Whereas an optically excited wavepack
et is initially localized, a THz wavepacket is initially delocalized and be
comes localized after half a revival time.