Quantum State Storage in a Travelling Dark State Polariton, under a Standing Wave Control Laser Field in a Solid-State Medium

Abstract

In this paper, we derive an expression for the Dark State Polariton (DSP) field, formed by thesuperposition of atomic and photonic states, for the case of a travelling probe laser pulse under the application of a standing wave control laser pulse for a lambda-level scheme EIT System in a solid crystal. We show how an enhancement in the nonlinearity of the EIT process by eliminating pulse broadening due to diffusion can be achieved in the case of a travelling probe pulse under the effect of standing wave control laser pulses. At last, we propose an experiment that can help realise the storage of a probe pulse in the hyperfine levels 3H4 ↔1D2 of Pr3+: Y2SiO5, cryogenically cooled at 4.5 K. We, at last, predict from the temporal variation of the energy density of the stored probe pulse that a longer storage time is possible for a perfect standing wave control laser field than a non-standing control wave, due to its more prominent nonlinear effect.