Adiabatic creation of coherent superposition states via multiple intermediate states

Abstract

We consider an adiabatic population transfer process that resembles the well established stimulated Raman adiabatic passage (STIRAP). In our system, the states have nonzero angular momentums $J$, therefore, the coupling laser fields induce transitions among the magnetic sublevels of the states. In particular, we discuss the possibility of creating coherent superposition states in a system with coupling pattern $J=0\iff J=1$ and $J=1\iff J=2$. Initially, the system is in the J=0 state. We show that by two delayed, overlapping laser pulses it is possible to create any final superposition state of the magnetic sublevels $|2,-2>$, $|2,0>$, $|2,+2>$. Moreover, we find that the relative phases of the applied pulses influence not only the phases of the final superposition state but the probability amplitudes as well. We show that if we fix the shape and the time-delay between the pulses, the final state space can be entirely covered by varying the polarizations and relative phases of the two pulses. Performing numerical simulations we find that our transfer process is nearly adiabatic for the whole parameter set.

7 pages, 10 figures

References in corpus (5)

• Qubit Rotation by STIRAP
• Adiabatic population transfer via multiple intermediate states
• Inhomogeneous String Cosmologies
• Coherent properties of a tripod system coupled via a continuum
• Measuring the Density Matrix by Local Addressing

Cited by in corpus (7)

• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Stimulated Raman Adiabatic Passage (STIRAP) Among Degenerate-Level Manifolds
• Quantum Control in Qutrit Systems using Hybrid Rabi-STIRAP Pulses
• A General Method for Complete Population Transfer in Degenerate Systems
• Engineering mixed states in a degenerate four-state system
• Complete quantum control of the population transfer branching ratio between two degenerate target states
• Stimulated Raman adiabatic passage in a multi-level atom