RT Journal Article T1 Simulation of the Jahn-Teller-Dicke magnetic structural phase transition with trapped ions A1 Ivanov, Peter A. A1 Porras Torres, Diego A1 Ivanov, Svetoslav S. A1 Schmidt-Kaler, Ferdinand AB We study theoretically the collective E circle times e Jahn-Teller-Dicke distortion in a system of trapped ions. In a previous work (Porras et al 2012 Phys. Rev. Lett. 108 235701) we have focused on cooperative Jahn-Teller models consisting of an ensemble of effective spins coupled to a set of many vibrational modes. Here, we show that under suitable conditions the spin ensemble may interact only with a single vibrational mode in each radial direction with U(1) symmetric couplings. Our model is exactly solvable in the thermodynamical limit and it is amenable to be solved by exact numerical diagonalization for a moderate number of ions. We show that trapped ions are ideally suited to study the spontaneous breaking of a continuous symmetry as well as magnetic structural phase transitions in a mesoscopic spin-boson system. PB IOP Publishing Ltd SN 0953-4075 YR 2013 FD 2013-05-28 LK https://hdl.handle.net/20.500.14352/35598 UL https://hdl.handle.net/20.500.14352/35598 LA eng NO © IOP Publishing LtdThis work has been supported by the Bulgarian NSF grants D002-90/08, DMU- 03/103, DMU-03/107, the EU 7th Framework Programme collaborative project iQIT and RyC Contract No. Y200200074. P. A. Ivanov acknowledges the COST Action MP IOTA 1001. NO Unión Europea. FP7 NO Bulgarian NSF NO RyC NO COST Action MP NO IOTA DS Docta Complutense RD 21 abr 2025