I. INTRODUCTIONSemiconductor lasers subject to one optical feedback have been extensively studied for their dynamical behavior 3,4 . A wide range of feedback induced dynamics are possible: linewidth narrowing or broadening, periodic and quasiperiodic behavior, low frequency fluctuations or fully developed chaos in the output intensity, to name a few [3][4][5][6] . Adding another optical feedback, thereby subjecting the laser to two distinct optical delays, further increases the complexity. The additional feedback has been shown to either stabilize or further destabilize the laser depending on the feedback parameters 1,7-9 , to suppress chaotic dynamics 10 , to significantly reduce the laser linewidth 11,12 , and to make the chaos more irregular 13 . Towards applications, it could be used for reservoir computing system 14 , chaos control 7,15 , or secure communication [16][17][18][19] . This system has also been considered for improving self-mixing interferomety [20][21][22] . Moreover, in photonic integrated circuits there is no practical optical isolator, hence on-chip lasers could easily be subject to multiple a) Also at