Is there any IC suitable for this motor? Could you recommend one or two to me?
What about this one? Adafruit DRV2605L Haptic Motor Controller - STEMMA QT / Qwiic : ID 2305 : $7.95 : Adafruit Industries, Unique & fun DIY electronics and kits
The other approach is to use a 1.8V MOSFET H-bridge and switching at the resonant frequency,
but you won't find one at that low a voltage, the dedicated driver chip is the simpler answer
(but might be more complex to program).