How to close the virtual keyboard from a Jetpack Compose TextField?

You can use the LocalSoftwareKeyboardController class to control the current software keyboard and then use the hide method:

var text by remember { mutableStateOf(TextFieldValue("Text")) }
val keyboardController = LocalSoftwareKeyboardController.current

TextField(
        value = text,
        onValueChange = {
            text = it
        },
        label = { Text("Label") },
        keyboardOptions = KeyboardOptions(imeAction = ImeAction.Done),
        keyboardActions = KeyboardActions(
                onDone = {keyboardController?.hide()})
)

This solution closes the keyboard without removing the focus from the current TextField.

Just to highlight the difference with:

val focusManager = LocalFocusManager.current
focusManager.clearFocus()

This code closes the keyboard removing the focus from the TextField.