De Matteo Rizzi
Modern hybrid superconductor-semiconductor Josephson junction arrays are a promising platform for analog quantum simulations. Their controllable and non-sinusoidal energy/phase relation opens the path to implement nontrivial interactions and study the emergence of exotic quantum phase transitions. Here, we propose the analysis of an array of hybrid Josephson junctions defining a 2-leg ladder geometry for the quantum simulation of the tricritical Ising phase transition.
This transition provides the paradigmatic example of minimal conformal models beyond Ising criticality and its excitations are intimately related with Fibonacci non-Abelian anyons and topological order in two dimensions. We study this superconducting system and its thermodynamic phases based on bosonization and matrix-product-states techniques. Its effective continuous description in terms of a three-frequency sine-Gordon quantum field theory suggests the presence of the targeted tricritical point and the numerical simulations confirm this picture.
Our results indicate which experimental observables can be adopted in realistic devices to probe the physics and the phase transitions of the model. Additionally, our proposal provides a useful one-dimensional building block to design exotic topological order in two-dimensional scalable Josephson junction arrays.
De Hepeng Yao
De Serge Florens
De Antoine Browaeys
De Davide Rossini
De Adam Rançon
De Laurent Sanchez-Palencia
De Angela Riva
De Jacqueline Bloch
De Irenée Frérot
De Monika Aidelsburger
De Tommaso Roscilde
De Artem Volosniev
De Roberta Citro
De Alessandro Romito
De Andrea Trombettoni
De Stefania De Palo
De Silvia Musolino
De Jacopo De Nardis
De Joseph Vovrosh
De Matteo Rizzi
De Lucila Peralta Gavensky
De Albert Schwarz
De Albert Schwarz
De Albert Schwarz
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Francesca Arici
De Amine Marrakchi
