Quantum zigzag transition in ion chains

Efrat Shimshoni, Giovanna Morigi, Shmuel Fishman

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    Abstract

    A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short wavelength vibrational modes. We argue that this is a quantum phase transition, which can be experimentally realized and probed. Indeed, by means of a mapping to the Ising model in a transverse field, we estimate the quantum critical point in terms of the system parameters, and find a finite, measurable deviation from the critical point predicted by the classical theory. A measurement procedure is suggested which can probe the effects of quantum fluctuations at criticality. These results can be extended to describe the transverse instability of ultracold polar molecules in a one-dimensional optical lattice. © 2011 The American Physical Society.
    Original languageEnglish
    Article number010401
    JournalPhysical Review Letters
    Volume106
    Issue number1
    DOIs
    Publication statusPublished - 4 Jan 2011

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