Fig. 1: The schematic illustration depicts the energy level configuration of two Rydberg atoms trapped in optical tweezers.

Each atom comprises two hyperfine ground states, denoted as \(\left\vert 0\right\rangle\) and \(\left\vert 1\right\rangle\), alongside a Rydberg excited state represented by \(\left\vert r\right\rangle\). Simultaneously, both atoms undergo excitation from state \(\left\vert 1\right\rangle\) to state \(\left\vert r\right\rangle\) with Rabi frequency Ω(t)e^iϕ(t) and detuning Δ(t), while exhibiting Rydberg interactions between their respective \(\left\vert r\right\rangle\) states.