Notification Services was deprecated, but you don't want to use that anyway.
You might consider Service Broker messages in some scenarios; the details depend on your app.
In most cases, you can probably use SqlDependency or SqlCacheDependency. The way they work is that you include a SqlDependency object with your query when you issue it. The query can be a single SELECT or a complex group of commands in a stored procedure.
Sometime later, if another web server or user or web page makes a change to the DB that might cause the results of the previous query to change, then SQL Server will send a notification to all servers that have registered SqlDependency objects. You can either register code to run when those events arrive, or the event can simply clear an entry in the Cache.
Although you need to enable Service Broker to use SqlDependency, you don't need to interact with it explicitly. However, you can also use it as an alternative mechanism; think of it more as a persistent messaging system that guarantees message order and once-only delivery.
The details of how to use these systems are a bit long for a forum post. You can either Google for them, or I also provide examples in my book (Ultra-Fast ASP.NET).