This is described here: https://github.com/snapcore/snapd/wiki/Interfaces#dbus
Basically, you need to do something along the lines of:
name: gnome-mpv
...
slots:
dbus-daemon: # name this whatever you want
interface: dbus
bus: session
name: org.gnome.mpv # adjust accordingly
...
apps:
gnome-mpv:
command: ...
slots: [ dbus-daemon ]
Ie, you create a slot for your snap with the bus and well-known name that allows your snap to bind to the well-known name. It also provides the ability for other snaps to then plugs to your slot implementation. Importantly, the name you use for your slot (ie, ‘dbus-daemon’ in the above), is seen in snap interfaces and used in snap connect/disconnect). Choosing a name that makes sense in the context of these commands is recommended (eg, gnome-mpv:dbus is nicer than gnome-mpv:foo).
Do note that a snap declaration is needed for your snap to be delivered via the snap store and claim this dbus name. Simply upload your snap to the store and request a manual review and a reviewer can take a look.