If you are very lucky, you have an option in the BIOS to enable S3 sleep state.

If you are moderately lucky, you may not have this _yet_, but you get it with a BIOS update.

But even if you have it, Linux might be hit and miss - sometimes it works, sometimes not, usually crippling some device like the touchpad after a wake-up.

You can try `cat /sys/power/mem_sleep` to see what states you have available. "deep" is what you want. "s2idle" and "shallow" are the ones that are just "low-power".

EDIT: actually, after a bit of web browsing it turns out that Intel 11th gen and above do not have S3 support anymore. So don't wait for BIOS support, it won't happen...