Moves the active window to the previous or next monitor while keeping the same relative position.
No built-in, but you can script with xdotool (e.g., bind Ctrl+Super+Right to move mouse to second screen’s center). how to switch from one screen to another using keyboard
By default, you just move the mouse off the edge of one screen onto the other. But to switch keyboard focus or move a window via keys: Moves the active window to the previous or