Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians

TL;DR

This paper investigates how non-Hermitian Hamiltonian dynamics can generate steady spin-squeezed states, specifically intelligent spin states, in spin ensembles, with potential applications in quantum sensing.

Contribution

It demonstrates that non-Hermitian dynamics with specific interactions can produce steady, optimized spin-squeezed states, advancing quantum state engineering methods.

Findings

Steady spin-squeezed states can be achieved via non-Hermitian evolution.

The generated states are intelligent spin states minimizing uncertainty.

Application to nitrogen vacancy centers shows practical feasibility.

Abstract

In this work, we study the time evolution of a coherent spin state under the action of a non-hermitian hamiltonian. The hamiltonian is modeled by a one-axis twisting term plus a Lipkin-type interaction. We show that when the Lipkin interaction is switched on, depending on the relative values of the coupling constants, the initial state evolves into a steady squeezed state which minimizes the Uncertainty Relations, Intelligent Spin State. We apply this result to look for the generation of an steady intelligent spin state from an ensemble of nitrogen vacancy colour centers in diamond coupled to a mechanical resonator.