Hate to sound pedantic but just in case I've missed the point, I assume you actually mean 'shallow depth of field' rather than 'depth of field'?
If you do mean shallow, as you say, it's a challenge with a compact.
To achieve quite a shallow depth of field, try extending the zoom to it's max distance and then get as close to your subject as you possibly can (use macro mode if it has one). If your subject is tiny, this'll work well. If your subject, is large, you'll have to forget it I'm afraid.
ETA, beaten to it!