  The primordial black hole (PBH) productions from the inflationary potential
with an inflection point usually rely heavily on the fine-tuning of the model
parameters. We propose in this work a new kind of the $\alpha$-attractor
inflation with asymmetric double poles that naturally and easily lead to a
period of non-attractor inflation, during which the PBH productions are
guaranteed with less fine-tuning the model parameters. This double-pole
inflation can be tested against the observational data in the future with rich
phenomenological signatures: (1) the enhanced curvature perturbations at small
scales admit a distinctive feature of ultraviolet oscillations in the power
spectrum; (2) the quasi-monochromatic mass function of the produced PBHs can be
made compatible to the asteroid-mass PBHs as the dominant dark matter
component, the planet-mass PBHs as the OGLE ultrashort-timescale microlensing
events, and the solar-mass PBHs as the LIGO-Virgo events; (3) the induced
gravitational waves can be detected by the gravitational-wave detectors in
space and Pulsar Timing Array/Square Kilometer Array.
