Cube the white American cheese and place in a medium sized sauce pot.
Add the half and half, pickled jalapenos and their liquid, and a pinch of kosher salt and white pepper.
Heat on medium-low for 8 to 10-minutes, stirring regularly to avoid scorching. Continue to stir until all of the ingredients are incorporated and smooth. Taste and adjust for salt and pepper as needed.
To keep warm, lower heat to the lowest setting (low or simmer), stirring occasionally. This will stay warm for about an hour or two.
Notes
To reheat, add a splash of half-and-half, and heat on low, stirring until warmed through and combined again.