Dresden 2026 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 17: Quantum Manybody Systems (joint session QI/TT)

TT 17.4: Vortrag

Montag, 9. März 2026, 16:00–16:15, BEY/0245

Topological properties of coupled superconducting chains in the presence of interactions — •Frederick Del Pozo — aboratoire Kastler Brossel, Sorbonne Universite, CNRS, ENS-PSL Research University, Coll‘ege de France; 4 Place Jussieu, 75005 Paris, France

We investigate the topological and critical properties of coupled and interacting superconducting wires.

As a prototype of superconductors with topological order, the Kitaev chain model is a perfect testing ground for novel theoretical and numerical tools, including the density-matrix-renormalization-group (DMRG) algorithm and bi-partite entanglement entropy.

In the following talk we report on the results of several recent works, which have lead to a deeper understanding of the topological and critical properties of coupled and interacting Kitaev chains, also in the presence of real-space disorder. We reveal that the usual topological invariant, defined in the absence of interactions, remains a sensible marker for the topology when two wires are brought into close proximity of each other where interaction effects and inter-wire hopping processes become relevant. We also reveal the appearance of a many-body entangled ground state, and interaction reinforced critical region in the wires’ phase diagram.

Our results highlight the rich physics present in quasi one-dimensional quantum systems, and motivates the further research into properties relevant for applications in superconducting qubits and topological quantum computation protocols.

Keywords: Topological phases of matter; Superconductivity; Entanglement entropy; Quantum Many Body Physics; Renormalization Group