If you define a public interface with a property in assembly A, you could then use this interface in assembly B.
Now, you can change the property's implementation (maybe fetching the value from a database instead of storing it in a field). Then you can recompile assembly A, and replace an older one. Assembly B would carry on fine because the interface wouldn't have changed.
However, if you'd started off initially with a public field, and decided this wasn't suitable and wanted to change the implementation and to do that you needed to convert it to a property, then this would mean you'd have to change assembly A's public interface. Any clients of that interface (including assembly B) would also have to be recompiled and replaced to be able to work with this new interface.
So, you're better off starting with a property initially. This encapsulates the implementation of the property, leaving you free to change it in the future without having to worry what clients (including assembly B) are already out in the world using assembly A. Because, if there are any clients already out in the world making use of assembly A, changing the interface would break all clients. If they're used by another team in your company, or another company, then they are going to be not happy if you break their assemblies by changing the interface of yours!