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  • Letter

Spin squeezing from bilinear spin-spin interactions: Two simple theorems

Tommaso Roscilde, Fabio Mezzacapo, and Tommaso Comparin

  • Univ Lyon, Ens de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France

Phys. Rev. A 104, L040601 – Published 26 October, 2021

DOI: https://doi.org/10.1103/PhysRevA.104.L040601

Abstract

We prove two simple theorems about squeezing induced by bilinear spin-spin interactions that conserve spin parity—including a vast majority of quantum spin models implemented by state-of-the-art quantum simulators. In particular we show that squeezing captures the first form of quantum correlations which are produced (1) at equilibrium, by adiabatically turning on the spin-spin interactions starting from a factorized state aligned with an external, arbitrary field; and (2) away from equilibrium, by evolving unitarily the same state with the interacting Hamiltonian.

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