Ok i figured it out and it's exactly how i thought it would be.
If i log in from a different device i get all the data synced automatically.
My problem was the missing sync function. I thought it will use a default and route all documents to the public channel automatically.
I'am now using the following simple sync-function:
"sync": `function (doc, oldDoc) {
channel('!');
access('demo@example.com', '*');
}`
This will simply route all documents to the public channel and grant my demo-user access to it.
I think this shouldn't be used in production but it's a good starting point for playing around.
Now everything is working fine.
Edit: I've now found the missing info:
https://docs.couchbase.com/sync-gateway/current/configuration-properties.html#databases-this_db-sync
If you don't supply a sync function, Sync Gateway uses the following default sync function
...
The channels property is an array of strings that contains the names of the channels to which the document belongs. If you do not include a channels property in a document, the document does not appear in any channels.