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We perform a combined analytical and numerical investigation to explore howan analytically designed pulse can precisely control the rotational motions ofa single-molecular polariton formed by the strong coupling of two low-lyingrotational states with a single-mode cavity. To this end, we derive apulse-area theorem that gives amplitude and phase conditions of the pulses inthe frequency domain for driving the polariton from a given initial state to anarbitrary coherent state. The pulse-area theorem is examined for generating themaximum degree of orientation using a pair of pulses. We show that the phasecondition can be satisfied by setting the initial phases of the two identicallyoverlapped pulses or by controlling the time delay between pulses for practicalapplications.

Pulse-area theorem for precision control of the rotational motions of a single molecule in a cavity