It would be difficult to become an expert in both disciplines. After I got my degree in Computer Science I considered doing course work in other science fields. Instead I self-taught myself the basics of the applications I worked with and focused on advanced post graduate work in Computer Science. I reasoned that I would rely on the subject matter experts and learn just the principles of the applications. That approach worked well for me in positions where I worked with engineers and scientists from many disciplines including physicists. Each field has knowledge bases that are growing exponentially. I don't think it is possible to be an expert in more than one. The physicists need computing professionals that understand the details of computer science and enough physics to be able to understand what they want and can "speak their language". I suggest focusing on computer science and only supplementing with basic courses in physics. You will, no doubt, pick up more physics on the job from the experts more efficiently than taking the full load of physics curriculum.
I really appreciate the info from your personal experience. Thanks!
My goal (so far, at least) is not to shift into becoming a full-blown physicist, but it's also not to merely be a programmer for physicists without having further insight into their field. I would like to combine a bit of both, if that makes sense.
From your own career experience, would you say a bachelor's in physics would suffice, or are you talking about courses even more basic than a bachelor's?