Structural defects in ion chains by quenching the external potential: The inhomogeneous Kibble-Zurek mechanism

A. Del Campo*, G. De Chiara, Giovanna Morigi, M. B. Plenio, A. Retzker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

119 Scopus citations

Abstract

The nonequilibrium dynamics of an ion chain in a highly anisotropic trap is studied when the transverse trap frequency is quenched across the value at which the chain undergoes a continuous phase transition from a linear to a zigzag structure. Within Landau theory, an equation for the order parameter, corresponding to the transverse size of the zigzag structure, is determined when the vibrational motion is damped via laser cooling. The number of structural defects produced during a linear quench of the transverse trapping frequency is predicted and verified numerically. It is shown to obey the scaling predicted by the Kibble-Zurek mechanism, when extended to take into account the spatial inhomogeneities of the ion chain in a linear Paul trap.

Original languageAmerican English
Article number075701
JournalPhysical Review Letters
Volume105
Issue number7
DOIs
StatePublished - 11 Aug 2010
Externally publishedYes

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