$args = array (
'post_type' => 'post',
'post_status' => 'publish',
'date_query' => array(
'column' => 'post_date',
'after' => get_the_date()
),
);
$posts = get_posts( $args );
$counter = 0;
foreach ($posts as $post) {
if ($counter == 3) break;
var_dump($post);
$counter++;
}