EmberJS - testing input action on enter

I have an EmberJS (2.5.0) component similar to the following:

Basically, hitting enter on the input field should trigger the 'handleSearch' action. And in my component, so far I have this:

searchValue: null,
actions: {
  handleSearch() {
    var searchValue = this.get('searchValue');
    var submitSearch = this.get('submitSearch');
    console.log('Search term entered: ', searchValue);
    if (submitSearch) {
      submitSearch(searchValue);
    }
  }
}

And the component is called via:

That all works fine and all, but I'm having trouble actually testing it.

Here's my integration test (pseudo-copied from the guide):

test('search input', function(assert) {
  this.set('externalAction', (actual) => {
    console.log('in external action');
    assert.equal(actual, 'hithere');
  });
  this.render(hbs``);
  this.$('input').val('hithere');
  this.$('input').change();
});

The problem is, my handleSearch action handler never gets triggered. So how do I get my input field to trigger the handler in my integration test? I've also tried this.$('input').submit() and this.$('input').trigger('change'), but neither seems to do anything.