The term "atheist Jew" can be a controversial one, as it seems to suggest two contradictory beliefs. However, there are other terms that can be used to describe someone who identifies as Jewish but does not believe in God. One option is "secular Jew," which emphasizes a cultural or ethnic connection to Judaism rather than a religious one. Another term is "humanistic Jew," which focuses on ethical and moral values rather than spirituality. Some individuals might also identify as "Jewish agnostic," indicating a lack of certainty about the existence of God. Ultimately, the terminology used will depend on an individual's personal beliefs and how they choose to identify themselves within the Jewish community.