Xcode 11 doesn't automatically add every possible simulator. But you can add an iPhone SE iOS 13 simulator.
In Xcode, click on the Window menu and select Devices and Simulators. Select the Simulators tab. Tap the + in the bottom-left corner. Give the new simulator a name. Select iPhone SE as the device type. Enter iOS 13 as the OS Version.
Now you have what you need.
Edit: This is still valid with XCode 12.3 and iOS 14.3 as of January 2020
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