Are there any books/documents that talk in depth about the advances in nuclear tech and production during the nuclear arms race?
Yes, though the answer to which one depends on which aspect of the technology you care most about:
Are you asking about the specifics of warhead design and development? (e.g., the "physics package") If so, Hansen's Swords of Armageddon is probably what you want, for an extremely "in depth" approach.
Are you talking about the delivery systems (the bombers, missiles, submarines, etc.)? Depending on which, there are different books for that, though Schlosser's Command and Control gives a good overview of all.
Are you interested in the ways that the strategy changed (and was changed by) the technology? Freedman's The Evolution of Nuclear Strategy is the best starting point.
There are other angles (political arrangements, cultural responses, etc.) that have other books, as well, of course, but it doesn't sound like you are asking about that.