W-like states of N uncoupled spins 1/2

TL;DR

This paper investigates the dynamics of a disordered spin star system with a central spin and N uncoupled spins 1/2, proposing methods to generate W-like states and estimate coupling strengths.

Contribution

It introduces conditional schemes for creating W-like and angular momentum states in a disordered spin star system, and provides a way to estimate individual coupling intensities.

Findings

Proposes schemes for generating W-like states.

Provides a method to estimate coupling strengths.

Discusses the feasibility of the proposed procedures.

Abstract

The exact dynamics of a disordered spin star system, describing a central spin coupled to N distinguishable and non interacting spins 1/2, is reported. Exploiting their interaction with the central single spin system, we present possible conditional schemes for the generation of W-like states, as well as of well-defined angular momentum states, of the N uncoupled spins. We provide in addition a way to estimate the coupling intensity between each of the N spins and the central one. Finally the feasibility of our procedure is briefly discussed.