Quantum frustrated Wigner chains
arXiv:2311.14396 · doi:10.1103/PhysRevB.110.155121
Abstract
A Wigner chain in a periodic potential is a paradigmatic example of geometric frustration with long-range interactions. The dynamics emulates the Frenkel-Kontorova model with Coulomb interactions. In the continuum approximation, dislocations are sine-Gordon solitons with power-law decaying tails. We show that their action is mapped into a massive, long-range (1+1) Thirring model, where the solitons are charged fermionic excitations over an effective Dirac sea. We identify the corresponding mean field theory and show that the Coulomb interactions destabilize structures commensurate with the periodic substrate, suppressing their onset and giving rise to {\it interaction-induced} lubrication. Our study identifies the role of long-range interactions on determining nanofriction. Our predictions can be probed in state-of-the-art trapped ion experiments.
References in corpus (36)
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Modeling friction: From nanoscale to mesoscale
- Simulating Lattice Gauge Theories within Quantum Technologies
- Quantum phases from competing short- and long-range interactions in an optical lattice
- Long-range interacting quantum systems
- Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
- Structural phase transitions in low-dimensional ion crystals
- Commensurate-incommensurate transition of cold atoms in an optical lattice
- Continuous symmetry breaking and a new universality class in 1D long-range interacting quantum systems
- Tuning friction atom-by-atom in an ion-crystal simulator
- Bose-glass phases of ultracold atoms due to cavity backaction
- Trapped ions in optical lattices for probing oscillator chain models
- Observation of Aubry transition in finite atom chains via friction
- Dynamical critical scaling of long-range interacting quantum magnets
- Frenkel-Kontorova model with cold trapped ions
- 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
- Eigenmodes and thermodynamics of a Coulomb chain in a harmonic potential
- One-dimensional array of ion chains coupled to an optical cavity
- Probing Nanofriction and Aubry-type signatures in a finite self-organized system
- Dynamics of an ion chain in a harmonic potential
- Achieving translational symmetry in trapped cold ion rings
- Nano-friction in cavity quantum electrodynamics
- Devil's staircase phase diagram of the fractional quantum Hall effect in the thin-torus limit
- Quantum creep and quantum creep transitions in 1D sine-Gordan chains
- Quantum Effects in the Aubry Transition
- Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
- Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
- Kinks and Nanofriction: Structural Phases in Few-Atom Chains
- Emergent quasicrystals in strongly correlated systems
- Ion chains in high-finesse cavities
- Nanofriction and motion of topological defects in self-organized ion Coulomb crystals
- Quantum nanofriction in trapped ion chains with a topological defect
- Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
- Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model
- Static kinks in chains of interacting atoms
- Fractal states of the Schwinger model