Formation of helical ion chains
arXiv:1112.1305 · doi:10.1103/PhysRevB.93.014106
Abstract
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.
References in corpus (33)
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Symmetry Breaking and Topological Defect Formation in Ion Coulomb Crystals
- Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
- From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites
- Phonons in a one-dimensional microfluidic crystal
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Structural phase transitions in low-dimensional ion crystals
- Tuning friction atom-by-atom in an ion-crystal simulator
- Winding up superfluid in a torus via Bose Einstein condensation
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Trapping of Topological-Structural Defects in Coulomb Crystals
- Quantum zigzag transition in ion chains
- Trapped ions in optical lattices for probing oscillator chain models
- Nanofriction in Cold Ion Traps
- Double wells, scalar fields and quantum phase transitions in ions traps
- Spontaneous nucleation of structural defects in inhomogeneous ion chains
- Solitons as the early stage of quasicondensate formation during evaporative cooling
- Frenkel-Kontorova model with cold trapped ions
- Ion Coulomb Crystals
- Sympathetic EIT laser cooling of motional modes in an ion chain
- Modes of Oscillation in Radiofrequency Paul Traps
- Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
- Non-equilibrium dynamics of Bosonic Mott insulators in an electric field
- Zigzag Phase Transition in Quantum Wires
- Structure, dynamics and bifurcations of discrete solitons in trapped ion crystals
- Pattern formation with trapped ions
- Ground state of low dimensional dipolar gases: linear and zigzag chains
- Quantum structural phase transition in chains of interacting atoms
- Tuning heat transport in trapped-ion chains across a structural phase transition
- Dynamics of topological defects in ion Coulomb crystals
- Nano-friction in cavity quantum electrodynamics
- Zigzag transitions and nonequilibrium pattern formation in colloidal chains
- Stability and dynamics of ion rings in linear multipole traps
Cited by in corpus (31)
- Universal far-from-equilibrium Dynamics of a Holographic Superconductor
- Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
- Space-time renormalization in phase transition dynamics
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Full Counting Statistics of Topological Defects After Crossing a Phase Transition
- Universal anti-Kibble-Zurek scaling in fully-connected systems
- Quantum Kibble-Zurek physics in long-range transverse-field Ising models
- Dynamics of a quantum phase transition in the 1D Bose-Hubbard model: excitations and correlations induced by a quench
- Structure, dynamics and bifurcations of discrete solitons in trapped ion crystals
- Crossover from the classical to the quantum Kibble-Zurek scaling
- Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
- Entanglement Generation Using Discrete Solitons in Coulomb Crystals
- Universality in the dynamics of second-order phase transitions
- Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
- Structural phase transitions and topological defects in ion Coulomb crystals
- Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
- Non-equilibrium quantum thermodynamics in Coulomb crystals
- Nanofriction and motion of topological defects in self-organized ion Coulomb crystals
- Equilibrium configurations of hard spheres in a cylindrical harmonic potential
- Structural phase transition and its critical dynamics from holography
- Dynamics of vortex defect formation in two dimensional Coulomb crystals
- Fokker-Planck formalism approach to Kibble-Zurek scaling laws and non-equilibrium dynamics
- Topological interface states mediated by spontaneous symmetry breaking
- Delocalization and heat transport in multidimensional trapped ion systems
- Heat transport in a Coulomb ion crystal with a topological defect
- Defect generation and dynamics during quenching in finite size homogeneous ion chains
- Separation of the Kibble-Zurek Mechanism from Quantum Criticality
- Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
- Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
- Homogeneous Linear Ion Crystal in a Hybrid Potential
- Dissipation-Induced Deviations from Kibble-Zurek Scaling in Non-Hermitian Quantum Annealing