<?php

$first = [
	['column_name' => 3],
];

$second = [
	['column_name' => 1],
	['column_name' => 2],
	['column_name' => 3],
	['column_name' => 4],
];

$result = array_udiff(
     $second,
     $first, 
     function($x, $y) { return strcmp($x['column_name'], $y['column_name']); }
);

print_r($result);