JQuery :: Closing Window After Ajax Request In A Pop Up Window?

I have done thus far is set up a simple Ajax request to my server to log in a user (This part seems to work just fine). The problem that I am incurring is that I would like to close the window if the user has been successfully logged in and not close the window (aka - show the form errors via php) if the user did not input the correct credentials.

This is what I have got so far (which simply logs in a user): -note: the php currently just spits out Sucess or Fail to the jquery ajax request and I would like to add a way to verify if logged in then close window but if not keep window open

$(document).ready(function(){
$("#myform").validate({
debug: false,
rules: {

[Code]....

This seems to work fine and dandy to just return Success or Fail to the #results div but is there a way to verify if the user is logged in success or not or at least a way to catch such validation that is sent back from the php script?

I was also playing with adding the below code after the $.post request but it obviously just closes the window no matter what the response.

window.close();
// return
return false;