Bonn 2025 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 13: Ultracold Matter (Bosons) I (joint session Q/A)
Q 13.2: Vortrag
Montag, 10. März 2025, 17:15–17:30, HS I PI
Absence of gapless Majorana edge modes in few-leg bosonic flux ladders — •Felix A. Palm1,2, Cécile Repellin3, Nathan Goldman2,4, and Fabian Grusdt1 — 1LMU Munich & MCQST, Munich, Germany — 2Université Libre de Bruxelles, Brussels, Belgium — 3Université Grenoble-Alpes, Grenoble, France — 4Laboratoire Kastler Brossel, Collège de France, Paris, France
Non-Abelian phases of matter, such as certain fractional quantum Hall states, are a promising framework to realize exotic Majorana fermions. Quantum simulators provide unprecedented controllability and versatility to investigate such states, and developing experimentally feasible schemes to realize and identify them is of immediate relevance. Motivated by recent experiments, we consider bosons on coupled chains, subjected to a magnetic flux and experiencing Hubbard repulsion. At magnetic filling factor ν=1, similar systems on cylinders have been found to host the non-Abelian Moore-Read Pfaffian state in the bulk.
Here, we address the question whether more realistic few-leg ladders can host this exotic state and its chiral Majorana edge states. We perform extensive DMRG simulations and determine the central charge of the ground state. While we do not find any evidence of gapless Majorana edge modes in systems of up to six legs, exact diagonalization of small systems reveals evidence for the Pfaffian state in the entanglement structure. By systematically varying the number of legs and monitoring the appearance and disappearance of this signal, our work highlights the importance of finite-size effects for the realization of exotic states in experimentally realistic systems.
Keywords: fractional quantum Hall; flux ladders; Pfaffian state; Majorana edge modes