Company that made the tool (date text was generated). AI tool (version of tool) [Large language model]. URL.
From the MLA Style Center (MLA Handbook 9th Edition)
"Prompt text" prompt. AI tool, version of tool, company that made the tool, date text was generated. URL.
In Chicago, you'll cite generative AI differently depending on whether or not you included the prompt in the text of your paper. If you included it in your paper, you don't need to repeat it in the citation.
Prompt already included in paper:
1. Text generated by [name of the AI tool], date, Company that made the tool, URL.
Prompt not yet included in paper:
1. [Name of the AI tool], response to "prompt," date text was generated, Company that made the tool, URL.
As of July 2023, APA has not issued specific guidance on how to cite AI-generated images. For now, cite as you would any other image, using the guidelines APA has issued for AI-generated text.
In-text citation
(Company that made the AI tool, year image was generated).
Bibliography
Company that made the AI tool. (Year image was generated). Name of the AI tool, as specifically as possible. Version of the AI tool. [AI image generator]. URL.
Check out the APA Audiovisual Media Style Guide for more information
If you're including an AI-generated image in the body of a paper, give it a figure number (i.e. Fig. 1, Fig. 2)
Fig. 1. "Full prompt" prompt, Name of Tool, version of tool, Company Name, date image was generated, URL.
The Chicago Manual of Style's website recommends you cite AI-generated images like any other image, while including both the name of the AI tool that generated the image, the company that created the AI, and the prompt that generated the image.
"Prompt," image generated by Company's AI Tool, date image was generated.
Check out the Chicago Style Guide on images for more information