  All-optical switching used to switch the input optical signals without any
electro-optical conversion plays a vital role in the next generation of optical
information processing devices. Even all-optical switchings (AOSs) with
continuous input signals have been widely studied, all-optical pulse switchings
(AOPSs) whose input signals are pulse sequences have rarely been investigated
because of the time-dependent Hamiltonian, especially for dissipative quantum
systems. In this paper, we propose an AOPS scheme, where a strong pulsed field
is used to switch another pulsed input signal. With the help of
Floquet-Lindblad theory, we identify the control field that can effectively
turn on/off the input signal whose amplitude envelope is a square-wave (SW)
pulse train in a three-level dissipative system. By comparing the properties of
the AOPSs controlled by a continuous-wave (CW) field and an SW control field,
we find that the SW field is more suitable to be a practical tool for
controlling the input SW signal. It is interesting to impress that the
switching efficacy is robust against pulse errors. The proposed protocol is
readily implemented in atomic gases or superconducting circuits and corresponds
to AOPSs or all-microwave pulse switchings.
