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TT: Fachverband Tiefe Temperaturen
TT 61: Correlated Electrons: 1D Theory
TT 61.5: Talk
Wednesday, March 20, 2024, 17:30–17:45, H 3010
Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders — •Niklas Tausendpfund1,2, Lorenzo Maffi3, Matteo Rizzi1,2, and Michele Burrello3 — 1Peter Grünberg Institut 8, Forschungszentrum Jülich, Jülich, Germany — 2Institute for Theoretical Physics, University of Cologne, Köln, Germany — 3Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
Modern hybrid superconductor-semiconductor Josephson junction arrays are a promising platform for analog quantum simulations. Their controllable and non-sinusoidal energy/phase relationship opens the way to implement non-trivial interactions and to study the emergence of exotic quantum phase transitions. Here we present the analysis of a 2-leg ladder geometry composed of Josephson junctions. Our results support the existence of tricritical Ising phase transitions based on bosonization and matrix product state techniques. This proposal provides a useful one-dimensional building block for designing exotic topological orders in two-dimensional scalable Josephson junction arrays.
Keywords: Tri-Critical-Ising; Tensor-Networks; Triple-Junction-Ladder; Josephson-Junction-Arrays