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

• URL: http://arxiv.org/abs/2106.07460v1
• Date: Mon, 14 Jun 2021 14:36:02 GMT
• Title: Spin squeezing from bilinear spin-spin interactions: two simple theorems
• Authors: Tommaso Roscilde, Fabio Mezzacapo and Tommaso Comparin
• Abstract summary: We demonstrate two simple theorems about squeezing induced by bilinear spin-spin interactions. We show that squeezing captures the first form of quantum correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We demonstrate 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; 2) away from equilibrium, by evolving unitarily the same state with the interacting Hamiltonian.

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