On the Laravel News site there's a quick tutorial posted showing you how to send an email when an exception is thrown in your Laravel-based application using the "mailable" functionality.

You’ve created a new Laravel app for your client and deployed it on the production server. Everything was working fine till a customer has a problem with the app because of some buggy code. He immediately leaves the app, and the same thing happens with multiple customers before you know about the bug. You fix the bug, and then everything is on track.

But what if you were notified immediately through e-mail (or another service) about the bug and you fix it ASAP. In Laravel, this can be done easily and in this post, we’re going to learn how.

The post talks about how errors and exceptions are handled in Laravel applications and how, with a bit of custom code, you can create you own handler and a "mailable" class it can use (an ExceptionOccured mailer) to send a full stack trace when an error is thrown. There's also a link to a package that can be installed that helps to make setup even easier.