Some Virtual Machine tools that give this kind of seamless integration, even the XP Mode that comes with Windows 7 can operate this way, showing on the Windows 7 desktop a Windows XP program window that is actually running on the XP virtual machine... it's great!
The difference is that with XP Mode, you're only using one session when looking at remote apps. What you want is to be able to both launch remote apps
and see the original desktop on the original PC, which is two sessions, which isn't allowed on the client versions of Windows (XP, Vista, 7). It's like how you can't open the virtual desktop of XP Mode if any of the remote apps are open; you can only have one session open at a time.
Now, for remoting in to the work PC from your home laptop, assuming you have the networking figured out, it may be possible to launch remote apps instead of the full desktop. Remote Desktop Connection has a "Programs" tab where you can configure a particular program to launch on connection, in its own window. The console session on the remote computer will likely be logged out, but since you're at home, it's unlikely anyone is currently using it.
You may need to apply an update if the remote PC is running Windows XP or Vista, in order for this to work:
http://www.mydigitallife.info/2009/10/10/enable-remoteapp-in-windows-xp-or-vista-to-publish-programs-to-windows-7-virtual-pc-host-with-kb961741-or-kb961742-rail-qfe/