Revealing Optical Bistability and Multistability in a cavity including two coupled quantum Wells

We investigate the bistability and multistability within a cavity containing two coupled quantum wells

pumped by a squeezed light. Our findings highlight the importance of frequency detunings relative to

direct and indirect excitons in generating bistability, which are predominantly impacted by Kerr effects.

Furthermore, we show that the presence of multistable behavior in excitonic and photonic intensities is

due to the interplay of second- and third-order nonlinearities.

In addition, we analyze the controllability of transitioning between bistability and multistability.

The amplitude of the squeezed light or the frequency detuning between the external coherent drive and

the cavity can be utilized to adjust this transition. We notice that the tunneling phenomenon has a dual

effect, promoting or inhibiting the establishment of bistability and multistability. The outcome is

determined on whether direct or indirect exciton nonlinearities are considered.

The transition between bistability and multistability can be controlled  by changing the tunneling rate

between the wells which is dependent on the distance separating the two quantum wells inside the

cavity.