Generating non-classical states from spin coherent states via interaction with ancillary spins

TL;DR

This paper explores how to generate non-classical states in spin systems through interaction with ancillary spins, extending previous models and identifying conditions for creating various quantum states like cat and squeezed states.

Contribution

It extends prior work by analyzing larger ancillary spin systems and demonstrates enhanced interaction strength, enabling the generation of diverse non-classical states.

Findings

System can evolve into spin cat states

System can produce spin squeezed states

Multiple cat states are achievable

Abstract

The generation of non-classical states of large quantum systems has attracted much interest from a foundational perspective, but also because of the significant potential of such states in emerging quantum technologies. In this paper we consider the possibility of generating non-classical states of a system of spins by interaction with an ancillary system, starting from an easily prepared initial state . We extend previous results for an ancillary system comprising a single spin to bigger ancillary systems and the interaction strength is enhanced by a factor of the number of ancillary spins. Depending on initial conditions, we find -- by a combination of approximation and numerics -- that the system of spins can evolve to spin cat states, spin squeezed states or to multiple cat states. We also discuss some candidate systems for implementation of the Hamiltonian necessary to generate these non-classical states.