Fig. 2: TRS breaking by the optical Stark and Bloch–Siegert effects.

a, A linearly polarized FB opens the gap in both valleys by the optical Stark and Bloch–Siegert shifts, interacting equally with the +K and −K valleys. This preserves TRS, namely, E↑(+K) = E↓(−K). b, A right-circularly polarized FB opens different gaps by the optical Stark and Bloch–Siegert shifts in the +K and −K valleys, respectively, leading to the breaking of TRS: E↑(+K) ≠ E↓(−K).