Navigate search results of "Search in all files" using the keyboard?

[ryanjamurphy]

Please search before posting—there are many threads about this already:

Navigate search results without using the mouse

After typing search, it would be nice, if you were able to navigate between the results with keyboard. up/down keys can navigate you to that result maybe search could be a popup window, as in IntelliJ and also a search history would be useful (and accessible with keyboard, like Ctrl+↑)