SAMOP 2023 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 65: Many-body Physics
Q 65.5: Talk
Friday, March 10, 2023, 12:00–12:15, F342
Aubry transition in chains of long-range interacting particles — •Raphaël Menu1, Jorge Yago Malo2, Maria Luisa Chiofalo2, and Giovanna Morigi1 — 1Theoretische Physik, Universit *at des Saarlandes, D-66123 Saarbr *ucken, Germany — 2Dipartimento di Fisica Enrico Fermi, Universita di Pisa and INFN, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
The celebrated Frenkel-Kontorova model provides a framework for understanding the onset of structures emerging from the interaction of a periodic crystalline structure with an underlying substrate with competing characteristic lengths. By tuning the depth of the substrate potential, the crystal undergoes a transition from a frictionless sliding on the surface to a pinned state. This is the so-called Aubry transition. While the classical picture of this model is well-understood, its quantum nature is still largely unexplored. Experimental realizations, such as chains of laser cooled trapped ions interacting with a periodic potential, are characterized by repulsive long-range interactions, for which the paradigm of the Frenkel-Kontorova model is only partially applicable.
In this work we analyze theoretically the dynamics at the Aubry transition for a chain of trapped ions interacting via the long-range Coulomb interaction.