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International Journal of Theoretical Physics

Superposition of States with Timed Detuning Pulses using the Shortcut to Adiabatic Passage

Reza Vahidi-Asl, M. Amniat-Talab, M. Saadati-Niari

Published Feb 14, 2023• 2 citations
Publisher
DOI
10.1007/s10773-023-05279-y

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The technique of stimulated Raman shortcut to adiabatic passage (STIRSAP) is implemented to chainwise and N-pod systems. In chainwise systems, for large detuning conditions, the population of the middle states can be suppressed during the time evolution of the system and therefore, the Hamiltonian of an N-state system is reduced to an effective two-level system, using adiabatic elimination technique. Applying the STIRSAP method in two-level systems, the modified Rabi frequencies for fast population transfer are achieved. For N + 1-pod systems, assuming that N Stokes pulses have the same time dependence, we reduce the Hamiltonian of the original system to a three-state system. For both resonance and detuning conditions, we can reduce the three-state Hamiltonian to an effective two-state one. Using the STIRSAP technique, robust population transfer can be achieved from an initial ground state to an arbitrary coherent superposition of all ground states.
We extend the shortcut to the adiabatic passage method, proposed by Chen et al. [Phys. Rev. Lett. 105, 123003 (2010)], to the creation of an arbitrary coherent superposition of states in a multi-level system.We consider a multi-state system composed of an initial ground state, an excited state and an arbitrary number of final states.In this method, the initial state is linked to the excited state using a pump laser pulse and final states are coupled to the excited state using the Stokes laser pulses.Furthermore, the initial state is coupled to the final states using additional laser fields.We show that the problem can be reduced to the solution of a three-state loop system involving an initial ground state, an excited state and a superposition of final states.This decomposition allows to create an arbitrary coherent superposition of states using the shortcut to the adiabatic passage method.When compared to other strategies, this method provides a fast and robust approach to the coherent superposition of states.