Freiburg 2024 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 42: Long-range Interactions
Q 42.6: Vortrag
Donnerstag, 14. März 2024, 12:30–12:45, HS 1015
Commensurate-incommensurate transition in frustrated Wigner crystals — •Raphaël Menu1, Jorge Yago Malo2, Vladan Vuletić3, Maria Luisa Chiofalo2, and Giovanna Morigi1 — 1Universität des Saarlandes, Saarbrücken, Germany — 2Universita di Pisa, Pisa, Italy — 3Massachusetts Institute of Technology, Cambridge, USA
Geometric frustration in systems with long-range interactions is a largely unexplored phenomenon. In this work we analyse the ground state emerging from the competition between a periodic potential and a Wigner crystal in one dimension, consisting of a selforganized chain of particles with the same charge. This system is a paradigmatic realization of the Frenkel-Kontorova model with Coulomb interactions. We derive the action of a Coulomb soliton in the continuum limit and demonstrate the mapping to a massive (1+1) Thirring model with long-range interactions. The mean-field limit is a long-range antiferromagnetic spin chain with uniform magnetic field and predicts that the commensurate, periodic structures form a complete devil's staircase as a function of the charge density. Each step of the staircase correspond to the interval of stability of a stable commensurate phase and scales with the number N of charges as 1/ln N. This implies that there is no commensurate-incommensurate phase transition in the thermodynamic limit. For finite systems, however, the ground state has a fractal structure that could be measured in experiments with laser-cooled ions in traps.
Keywords: trapped ions; high-energy physics; phase transition; quantum simulation