Advanced control with a Cooper-pair box: stimulated Raman adiabatic passage and Fock-state generation in a nanomechanical resonator

TL;DR

This paper proposes a theoretical method for advanced quantum control in superconducting nanocircuits, specifically using STIRAP in a Cooper-pair box to generate single-phonon states in a nanomechanical resonator, demonstrating robustness and feasibility.

Contribution

It introduces a novel application of STIRAP in a Cooper-pair box for quantum state manipulation and phonon generation in nanomechanical systems.

Findings

STIRAP can be implemented in Cooper-pair boxes.

The scheme is robust against decoherence.

Single-phonon states can be generated via vacuum-stimulated adiabatic passage.

Abstract

The rapid experimental progress in the field of superconducting nanocircuits gives rise to an increasing quest for advanced quantum-control techniques for these macroscopically coherent systems. Here we demonstrate theoretically that stimulated Raman adiabatic passage (STIRAP) should be possible with the quantronium setup of a Cooper-pair box. The scheme appears to be robust against decoherence and should be realizable even with the existing technology. As an application we present a method to generate single-phonon states of a nanomechnical resonator by vacuum-stimulated adiabatic passage with the superconducting nanocircuit coupled to the resonator.