The Mimbres culture flourished in northern New Mexico during the first through the 12th centuries. They produced many striking pottery bowls including the one pictured. This bowl depicts a pair of stylized rabbits with a small amount of geometric patterning around the rim. Many of the Mimbres wares are decorated in black and white but this piece was decorated using a brown slip rather than the more common black. It is a relatively small piece measuring 2 1/2 inches high and 5 3/8 inches wide and it dates from the mid 9th century to the 12th century (http://www.metmuseum.org/collection/the-collection-online/search/310570).
There is some debate as to the original purpose of such a bowl. There are numerous intact examples highly decorated Mimbres bowls while very few jars have been found intact, indicating that the bowls would have been reserved for special occasions like we use our fine china today. There is also a funerary aspect to these pieces. You will note the two "kill holes" in the center of this piece. Many of these bowl were found in burials. The body of the deceased was buried head up in a fetal position, often with such a bowl placed on their head. It is thought that the kill hole (or holes in this case) were created to allow the deceased spirit to pass out of the body.
I find the ritual/spiritual aspect of pottery in the Ancestral Puebloan tradition to be very intriguing. I have heard that there was even a trash mound found in Chaco Canyon that was comprised entirely of broken pots, leading archaeologist to speculate that these pieces were ritually sacrificed, so to speak. While the Mimbres were not of the same culture as Chaco Canyon, there almost certainly would have been an exchange of ideas and some cultural similarities. The spiritual use of pottery may very well have been one of these overlaps.
Here are some links if you would like more information on Mimbres Pottery.