Yalda
Yalda is Persian in origin and is used by Muslim communities in Persianate regions; it is culturally associated with the Yalda night festival, not with the Quran.
It signifies the longest night (winter solstice) and by extension themes of birth or the return of light; historically linked to the Persian Yalda celebration.
Yes. Yalda is used among Arabic speakers especially where Persian cultural influence exists; it is written in Arabic script as يلدا.
No. The term Yalda and the festival are cultural-historical; there is no direct Quranic reference.
It is uncommon but attested in South Asian Muslim communities with Persian cultural ties; overall it remains a rare given name.