I think the beautiful thing that condensed matter physics has shown us is that just about any quantum mechanical system you can dream up can, or will someday be realized somehow.
Here's the way that I'd phrase it: the rules of quantum mechanics are a real feature of our universe. These rules are incredibly rich with many hidden gems and interesting useful things in them. We are exploring the consequences of these rules without worrying too much about if there currently exists a system on earth that realizes the configurations we're interested in.
Even if this work is never realized in a physical system, it still teaches us new things about quantum mechanics that can lead to other work that is physically realizable. If what you're interested in is the consequences and rules of quantum mechanics in general, there's no real reason to restrict yourself to systems you can physically point to today.