A "Min" is defined as someone who openly and willfully denies the Divine origin of the Written and Oral Torah. A "Mumar" is one who rejects any of the Mitzvos of the Torah.

The prohibition against drinking the wine of non-Jews ("Stam Yayin") applies to a Min/Mumar as well (with various Halachic conditions).

Regarding bread and food cooked by such a person, there are various opinions whether the prohibition against eating food cooked by non-Jews ("Bishul Akum") applies to such a person. The Tzitz Eliezer quotes several sources who wish to compare the two Halachos of "Stam Yayin" and "Bishul Akum," but he concludes based on the Chasam Sofer (YD 120) and Rav Shlomo Kluger that although a Mumar is like a non-Jew as far as wine is concerned, this does not apply to "Bishul Akum."

D. Zupnik

DZ:ys