Quantum state reconstruction for strongly excited Rydberg atom wave packets via a two-state Ramsey fringe inversion method

Abstract

We show that wave-packet interference techniques can reconstruct the quantum state of wave packets excited by strong laser pulses. The measurement may be accomplished even when the strength of the excitation is sufficient to significantly deplete the ground state. The probe of the wave packet can still remain perturbative. An inversion algorithm is also developed that is a generalization of the standard Ramsey fringe probe of a wave packet. The normalized sums and differences of the populations of two of the Rydberg states display Ramsey fringes and from these fringes the relative phase between these two states can be found. The algorithm offers advantages in efficiency over previous interferometric algorithms. The algorithm is not sensitive to the precise nature of the distribution of the phase between the pump and probe pulses.