Unfortunatly, you cannot (yet).
The BETA syntax is close to programming language, and there is no way to express your diagram without some "goto" or "break" feature which are not implemented yet.
The closer you can have (but that's not perfect)
@startuml
start
:Show login page;
while (Existing user?)
->no;
:Show login page;
:Wait x second;
endwhile (yes)
:Show index page;
stop
@enduml