Creation of coherent superposition of states in N-pod systems by a train of coincident pulses

Abstract

We study a train of coincident pulses technique in an N-pod system driven by N pulsed fields, when all of the pulses have the same shape and are on exact resonance. We show that the solution of an N-pod system composed of N degenerate ground states and one upper excited state can be reduced using the Morris–Shore transformation to the solution of a three-state system involving an initial superposition of M ground states, the excited state and superposition of remaining ground states. We use reduced three-state propagator to create any preselected coherent superposition of states by a train of coincident pulses. A proper pulse train is used to connect any two preselected superposition states of an N-pod system. Other advantages of this method are exact analytic solution and enhancement to the robustness of system against deviation from exact pulse areas with increasing the number of coincident pulses.

Keywords:

• N-pod systems
• quantum state engineering
• coincident pulses
• Morris-Shore transformation
• superposition of quantum states

Acknowledgements

We acknowledge the financial support of the MSRT of Iran and Urmia University.