Display different accounts in different browsers

I was wondering is it possible to use PHP to display two browsers, both logins with different users, however both of them use the same device at the same time.

In case no one understands my question above, I sketched a simple layout. (Don't judge my design, thanks.)

I tried using PHP Session but nope, it seems to be the opposite of what I attempt to achieve according to this and I quote here:

Session variables hold information about one single user, and are available to all pages in one application.

Thank you!