You need to use
history.pushState(stateObject, "title", URL);
it would look like this:
    $(function() {
        $("#home").click(function() {
            $('#container').load('home.html');
            window.history.pushState({url: "home.html"}, "", "home.html");
        });
    });
But instead of making one jquery event for every pages you should make it reusable so you only have one code to maintain.