Porras Torres, DiegoIvanov, Peter A.Schmidt-Kale, Ferdinand2023-06-202023-06-202012-06-050031-900710.1103/PhysRevLett.108.235701https://hdl.handle.net/20.500.14352/42798©2012 American Physical Society We acknowledge E Uprojects (STREP PICC and IP AQUTE), QUITEMAD S2009-ESP-1594, FIS2009-10061, CAM-UCM/910758, RyC Contract No. Y200200074, the Bulgarian NSF D002-90/08, DMU03/107, and the German Science Foundation within the SFB-TRR49. D. P. thanks Adolfo del Campo for discussions.The Jahn-Teller effect explains distortions and nondegenerate energy levels in molecular and solid-state physics via a coupling of effective spins to collective bosons. Here we propose and theoretically analyze the quantum simulation of a many-body Jahn-Teller model with linear ion crystals subjected to magnetic field gradients. We show that the system undergoes a quantum magnetic structural phase transition which leads to a reordering of particle positions and the formation of a spin-phonon quasicondensate in mesoscopic ion chains.engjournal articlehttp://doi.org/10.1103/PhysRevLett.108.235701https://journals.aps.orgopen access53Trapped IonsPhysicsGasesFísica (Física)22 Física