Stability and dynamics of ion rings in linear multipole traps

Cartarius, Florian; Cormick, Cecilia; Morigi, Giovanna

doi:10.1103/physreva.87.013425

Cited by 13 publications

(22 citation statements)

References 30 publications

(75 reference statements)

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“…crystals in thermodynamic limit or with periodic boundary conditions. Such homogeneous systems could be realized in the laboratory in ring traps [36,37] and octupole traps [38][39][40].…”

Section: Ion Crystals and Ginzburg-landau Modelmentioning

confidence: 99%

Formation of helical ion chains

et al. 2016

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We study the nonequilibrium dynamics of the linear to zigzag structural phase transition exhibited by an ion chain confined in a trap with periodic boundary conditions. The transition is driven by reducing the transverse confinement at a finite quench rate, which can be accurately controlled. This results in the formation of zigzag domains oriented along different transverse planes. The twists between different domains can be stabilized by the topology of the trap and under laser cooling the system has a chance to relax to a helical chain with nonzero winding number. Molecular dynamics simulations are used to obtain a large sample of possible trajectories for different quench rates. The scaling of the average winding number with different quench rates is compared to the prediction of the Kibble-Zurek theory, and a good quantitative agreement is found.

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“…crystals in thermodynamic limit or with periodic boundary conditions. Such homogeneous systems could be realized in the laboratory in ring traps [36,37] and octupole traps [38][39][40].…”

Section: Ion Crystals and Ginzburg-landau Modelmentioning

confidence: 99%

Formation of helical ion chains

et al. 2016

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“…We have shown that, for charged particles confined on a ID closed helix, a linear to zigzag-like bifurcation occurs when increasing the radius of the helix at commensurate fillings. Similar transitions are known for linear Wigner crystals under harmonic [15][16][17][18][19][20] or octupole trapping [21,22], where they are driven by the increment of dimen sionality from one dimension to three dimensions controlled by the transverse trapping potential. In our case, however, the single-particle configuration space remains always strictly ID, which manifests itself in the way in which the critical value ra is reached.…”

Section: Introductionmentioning

confidence: 77%

Degeneracy and inversion of band structure for Wigner crystals on a closed helix

2015

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Constraining long-range interacting particles to move on a curved manifold can drastically alter their effective interactions. As a prototype we explore the structure and vibrational dynamics of crystalline configurations formed on a closed helix. We show that the ground state undergoes a pitchfork bifurcation from a symmetric polygonic to a zigzag-like configuration with increasing radius of the helix. Remarkably, we find that, for a specific value of the helix radius, below the bifurcation point, the vibrational frequency spectrum collapses to a single frequency. This allows for an essentially independent small-amplitude motion of the individual particles and, consequently, localized excitations can propagate in time without significant spreading. Upon increasing the radius beyond the degeneracy point, the band structure is inverted, with the out-of-phase oscillation mode becoming lower in frequency than the mode corresponding to the center-of-mass motion

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“…1(c). It is found provided the number of particles is even, while for odd N the structure exhibits topological defects [33]. expected square-root behavior predicted by the Landau theory for a second-order phase transition [12,20].…”

Section: Minimal-energy Configurationsmentioning

confidence: 88%

Structural transitions of nearly second order in classical dipolar gases

2014

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Particles with repulsive power-law interactions undergo a transition from a single to a double chain (zigzag) by decreasing the confinement in the transverse direction. We theoretically characterize this transition when the particles are classical dipoles, polarized perpendicularly to the plane in which the motion occurs, and argue that this transition is of first order, even though weakly. The nature of the transition is determined by the coupling between transverse and axial modes of the chain and contrasts with the behaviour found in Coulomb systems, where the linear-zigzag transition is continuous and belongs to the universality class of the ferromagnetic transition. Our results hold for classical systems with power-law interactions $1/r^\alpha$ when $\alpha > 2$, and show that structural transitions in dipolar systems and Rydberg atoms can offer the testbed for simulating the critical behaviour of magnets with lattice coupling.Comment: to appear in Physical Review

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Stability and dynamics of ion rings in linear multipole traps

Cited by 13 publications

References 30 publications

Formation of helical ion chains

Formation of helical ion chains

Degeneracy and inversion of band structure for Wigner crystals on a closed helix

Structural transitions of nearly second order in classical dipolar gases

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