We classify the octopuses in three ways according to their natural hunting behavior.
Diurnal animals hunt
mostly by day. We have seen some variance in behavior even for bimaculoides and you may have seen keepers questioning the hunting times of their animals. I have only kept a few really, really young animals and most have been O. briareus but I am lead to believe that very young diurnals exhibit a nocturnal behavior at least in a tank environment. Since they are often found
under rocks this encourages my thinking that the young hunt often at night. Commonly kept diurnals are A. aculeatus, O. bimaculoides and O. hummelincki. IME, Of the three O. hummelincki is the
most diurnal and almost never comes out at night. One of mine (Octane) would pace nervously after lights out if 1) the night light suffered a power outage and reset to white instead of the normal red or 2) if I ran the washing machine at night, causing vibrations (it was on the other side of the tank wall) during its high spin cycle. When the situations were corrected he immediately went "back to sleep". My one bimac was far less active during the day than any of my hummelinckis. I have only limited experience with A. aculeatus and none for a long period but there are several notes in the journals asking about them being noctural.
Crepuscular might be used for many octos. It classifies them as hunting early evening and early morning and you will likely see this in an aquarium environment even it this is not common in the field. O. briareus and O. vulgaris assume this classification. IME O. briareus fits this in many cases and is not hard to feed at 6:00 but may or may not extend its active time between 6:00 and 11:00. It is also an animal that can be taught to eat early in the AM but few keepers have a schedule that would make this desirable.
Octos classified as
nocturnal will not be seen during the day except at the very end of their lives (personal observation). I
think that their eyes cannot adjust to the lighting but in senescence they start losing their sight. The Caribbean dwarf, O. mercatoris and the Indonesian unknown Macropus fall in this category. Where O. mercatoris can be fed easily at 11:00 and sometimes as early as 9:00 if the sun is down or there are no windows, the macropus does not adapt to any light and is most active at 3:00 AM. Some keepers have had better luck feeding the macropus a earlier but both mine had no interest in being out, even to eat, until the wee hours. Great little animals and very interactive but not during most human hours.
Several people have wondered about artificially creating a night environment and I cannot fathom that this would not work since the Indonesians change time zone radically and are still nocturnal. The problem with experimenting is that most rooms have windows and the ambient light is controlled by the sun. Additionally, keeping a tank in a daylight dark room is not very practical for enjoyment.
Artificial lighting
needs for an octopus are non-existent as they would likely be happiest with just ambient light. However, anything else you want to keep (this is minimized greatly by the primary occupant) usually requires additional lighting. There are numerous discussions about high light and cuttlefish and the most accepted thought is that even metal halides are acceptable. I would disagree when it comes to octos. I don't believe it will hurt them but I do believe you will see less of them if you use bright daylight lighting. Even with my compacts at the back of the tank I notice that the eyes are not fully opened until these lights are turned off.
For night lighting for any octopus, I recommend using red and not blue lights. There is evidence that blue night lights may appear brighter than white light to the octopus where red light is close to invisible and I have used fairly healthy red lighting with O. mercatoris (great for viewing, lousy for photography) very successfully. I keep a section of all three octo tanks lit 24/7 with red light and with a full nocturnal will light the entire tank that way. Interestingly, I have found that young O. briareus will choose the red side for a den but will migrate to the "dark side" after they are fully mature.
Dools recently tried an experiment with Waldo and switched his red light to blue. His Macropus did react to the blue and returned to its den. There have been others that use blue and seem to have success with it but I highly recommend at least starting with red.