  Multi-wavelength observations indicate that the intracluster medium in some
galaxy clusters contains cold filaments, while their formation mechanism
remains debated. Using hydrodynamic simulations, we show that cold filaments
could naturally condense out of hot gaseous wake flows uplifted by the
jet-inflated active galactic nucleus (AGN) bubbles. Consistent with
observations, the simulated filaments extend to tens of kpc from the cluster
center, with a representative mass of $\rm 10^{8}- 10^{9}\ M_{\odot}$ for a
typical AGN outburst energy of $10^{60}~ \rm erg$. They show smooth velocity
gradients, stretching typically from inner inflows to outer outflows with
velocity dispersions of several hundred $\rm km\ s^{-1}$. The properties of
cold filaments are affected substantially by jet properties. Compared to
kinetic energy-dominated jets, thermal energy-dominated jets tend to produce
longer cold filaments with higher masses. With the same jet energy, AGN jets
with an earlier turn-on time, a lower jet base, or a higher power heat the
cluster center more effectively, and produce shorter filaments at a much later
epoch.
