Classification of Spin-Nematic Squeezing in Spin-1 Collective Atomic Systems

TL;DR

This paper classifies two types of squeezing in spin-1 atomic systems, linking them to spin and nematic squeezing, and provides methods to generate these states from specific initial states.

Contribution

It identifies two distinct classes of squeezing in spin-1 systems and constructs explicit unitaries to generate these states from simple initial states.

Findings

Two classes of squeezing are identified in spin-1 systems.

Explicit unitary operators for generating squeezed states are constructed.

Squeezed states can be generated from polar and fully spin-polarized states.

Abstract

In spin-1 collective atomic systems, the spin and nematic-tensor operators constitute the su(3) Lie algebra whose su(2) subalgebras are shown to give two distinct classes of squeezing which are unitarily equivalent to spin squeezing and spin-nematic squeezing. We explicitly construct a unitary operator that generates an arbitrary squeezed spin-nematic state from an arbitrary Fock state. In particular, we demonstrate that squeezed spin states can be generated from a polar state and that squeezed spin-nematic sates can be generated from a fully spin-polarized state.