  In young dense clusters, an intermediate-mass black hole (IMBH) may get a
companion star via exchange encounters or tidal capture, and then evolves
toward IMBH X-ray binary by the Roche lobe overflow. It is generally thought
that IMBH X-ray binaries are potential ultra-luminous X-ray sources (ULXs),
hence their evolution is very significant. However, the irradiation-driven
winds by the strong X-ray flux from the accretion disks around the IMBHs play
an important role in determining the evolution of IMBH X-ray binaries, and
should be considered in the detailed binary evolution simulation. Employing the
models with the MESA code, we focus on the influence of irradiation-driven
winds on the evolution of IMBH X-ray binaries. Our simulations indicate that a
high wind-driving efficiency ($f=0.01$ for $Z=0.02$, and $f=0.002$ for
$Z=0.001$) substantially shorten the duration in the ULX stage of IMBH X-ray
binaries with an intermediate-mass ($5~M_{\odot}$) donor star. However, this
effect can be ignored for high-mass ($10~M_{\odot}$) donor stars. The
irradiation effect ($f=0.01$ or $0.002$) markedly shrink the initial parameter
space of IMBH binaries evolving toward ULXs with high luminosity ($L_{\rm
X}>10^{40}~\rm erg\,s^{-1}$) and hyperluminous X-ray sources in the donor-star
mass versus orbital period diagram. Furthermore, the irradiation effect results
in an efficient angular momentum loss, yielding to IMBH X-ray binaries with
relatively close orbits. In our simulated parameter space, about 1\% of IMBH
binaries would evolve toward compact X-ray sources owing to short initial
orbital periods, some of which might be detected as low-frequency gravitational
wave sources.
