The pre-defined step I fill in "field" with "text"
removes focus from the input element and does not hold open the suggestion list. The step definition below resolves this issue.
And I fill in "autocomplete-ajax" with "J" maintaining focus
/**
* @Given I fill in :arg1 with :arg2 maintaining focus
*/
public function iFillInWithMaintainingFocus($element_id, $text)
{
$script = '$("#' . $element_id . '").val("' . $text . '");';
$this->getSession()->evaluateScript( $script );
$element = $this->getSession()->getPage()->findById( $element_id );
$element->focus();
}