Agradecimentos: G. T. thanks CNPQ Productivity Grant No. 306152/2020-7, FAPESP Grant No. 2021/01700-2 and participation in FAPESP No. 2017/05685-2 and Grant No. BPN/ULM/2021/1/00039 from the Polish National Agency for Academic Exchange. K. J. G. is supported by CAPES Doctoral Fellowship No. 88887.464061/2019-00. This work was supported in part by the Polish National Science Centre under Grant No. 2018/30/E/ST2/00432. K. J. G. thank the hospitality of the Jagellonian University where part of this work was performed. P. H. M. was supported by CAPES Doctoral Fellowship No. 88882.329024/2019-01 Ver menos

Abstract: We use a potential model to investigate the phenomenology of quarkonium in a thermal rotating medium, where vorticity and spin density are not necessarily in equilibrium. We find that the quarkonium spin density matrix, as well as the binding energy and melting temperature, are sensitive to both the vorticity and the lack of equilibrium between vorticity and spin. This means that quarkonium spin alignment is a sensitive probe for vorticity and spin within the hydrodynamic phase. Information unequivocally pointing to spin-orbit nonequilibrium dynamics can be obtained from a combined study of quarkonium relative abundance and spin alignment, as well as experimentally obtainable off-diagonal density matrix elements Ver menos