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Simulation of the Jahn-Teller-Dicke magnetic structural phase transition with trapped ions

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Ivanov, Peter A. and Porras Torres, Diego and Ivanov, Svetoslav S. and Schmidt-Kaler, Ferdinand (2013) Simulation of the Jahn-Teller-Dicke magnetic structural phase transition with trapped ions. Journal of physics b-atomic molecular and optical physics, 46 (10). 17SI. ISSN 0953-4075

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Official URL: http://doi.org/10.1088/0953-4075/46/10/104003


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http://iopscience.iop.orgPublisher


Abstract

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.


Item Type:Article
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© IOP Publishing Ltd
This 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.

Uncontrolled Keywords:Quantum simulator; States; Gates
Subjects:Sciences > Physics
ID Code:47349
Deposited On:08 May 2018 11:10
Last Modified:09 May 2018 08:54

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