Structural phase transitions in low-dimensional ion crystals

Abstract

A chain of singly-charged particles, confined by a harmonic potential, exhibits a sudden transition to a zigzag configuration when the radial potential reaches a critical value, depending on the particle number. This structural change is a phase transition of second order, whose order parameter is the crystal displacement from the chain axis. We study analytically the transition using Landau theory and find full agreement with numerical predictions by [J. Schiffer Phys. Rev. Lett. 70, 818 (1993)] and [Piacente et al Phys. Rev. B 69, 045324 (2004)]. Our theory allows us to determine analytically the system's behaviour at the transition point.

12 pages, 8 figures. Revised version, to appear in Phys. Rev. B

References in corpus (1)

• Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation

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