What is the name of a chilled potato and leek soup?

There isn't a single, universally recognized name for a chilled potato and leek soup. However, some common names you might see include:

* Chilled Potato and Leek Soup: This is a straightforward and descriptive name.

* Cold Potato and Leek Soup: This is another basic and clear name.

* Vichyssoise: While technically a classic French soup made with potatoes, leeks, cream, and sometimes chicken stock, it is usually served chilled. So, you could call a chilled potato and leek soup "Vichyssoise" if you're using the same ingredients and serving style.

Ultimately, you can choose any name you like! It can be based on the specific ingredients used, the style of presentation, or even a personal touch.