Grails has a dbmigrate utility that is patterned after the one from Rails. Since it's implemented in Groovy, you should be able to use it from any of your Java projects.
I've used Hibernate's SchemaUpdate to perform the same function as migrations. It's actually easier than migrations because every time you start up your app, it examines the database structure and syncs it up with your mappings so there's no extra rake:db:migrate step and your app can never be out of sync with the database it's running against. Hibernate mapping files are no more complex than Rails migrations so even if you didn't use Hibernate in the app, you could take advantage of it. The downside is that it's not as flexible as far as rolling back, migrating down, running DML statements. As pointed out in the comments, it also doesn't drop tables or columns. I run a separate method to do those manually as part of the Hibernate initialization process.
I don't see why you couldn't use Rails migrations though - as long as you don't mind installing the stack (Ruby, Rake, Rails), you wouldn't have to touch your app.
I ran across this post while researching the same question. I haven't come to any conclusions about the best tool or approach yet, but one tool that I've come across which hasn't been mentioned in other answers so far is dbdeploy. I'd be interested to read any comparisons of these tools.
There is also DbMaintain which has been initially developed inside Unitils but is now a dedicated project. We are currently using it and are very satisfied (which doesn't mean there aren't any good alternatives). I list more of them in my database+migration bookmarks (with a focus on tools supporting Maven).