Which oceanic zone, from 1,000 to 4,000 meters deep, is home to bioluminescent creatures?

The oceanic zone from about 1,000 to 4,000 meters deep, where bioluminescent creatures live, is the bathypelagic zone.

Also called the midnight zone or bathyal zone, the bathypelagic lies below the mesopelagic twilight zone and above the abyssopelagic zone. Sunlight does not penetrate deeply enough for photosynthesis, so this region has no sunlight-driven plant community. Temperatures are generally near 4°C, food is scarce, and pressure rises to roughly 100–400 atmospheres across the zone.

Many animals compensate for darkness with bioluminescence, the production of light through chemical reactions. Anglerfish, dragonfish, squid, amphipods, and some sharks and octopuses inhabit these waters. Bioluminescent flashes can attract prey, confuse predators, or help animals recognize potential mates. Much of the food web ultimately depends on organic material sinking from shallower waters, sometimes called marine snow.

The main mix-up is with the mesopelagic zone, which extends roughly from 200 to 1,000 meters and still receives faint sunlight. The abyssal or abyssopelagic zone begins below about 4,000 meters, so it is deeper than the range given in the question.