Once you have a non-global zone installed or running on a Solaris 10 installation, it is often useful to connect to the console of the zone. This provides the same control over the zone as connecting to the console of a physical server running Solaris.

To connect to the console of a Solaris 10 zone called testzone, use the following command as root or the equivalent on the global zone:

zlogin -C testzone

The -C option specifies a console login. The console login will persist when the zone is rebooted.
To exit zlogin, use the escape sequence ~. on a new line (the tilde must follow a carriage return, not any other character). If this escape character is inappropriate (because you are connected using software like tip that also uses this escape sequence), you can specify a different escape character on the command line. For example, to use the @ symbol, use:

zlogin -C -e @ testzone

In this case, to exit the zlogin console session, type @. on a new line

Just a note of reference, if you are using tip and forget to change the escape character above. you can do the following to get out

~~.

This will force it to disconnect the local zlogin instead of the tip…
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However, let’s go deeper….

If you logged into a container’s console (via chs000xx —> ILOM —> then to a serial console)..

#. – will exit to ILOM (but once you logged in again.. you’re in container’s console)
~. – will exit to chs000xx (but once you logged in again.. you’re in container’s console)
~~. – WILL EXIT from the Container!!

It’s a like an hierarchy thingy..

(first part was taken from a website… later part was from me.. of course if you didn’t read all of it, you wont see this note.. 😀 )
http://sysadmindayph.com/