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Quantum Simulation of the Tricritical Ising Model in Tunable Josephson Junction Ladders
Lorenzo Maffi1,2,3, Niklas Tausendpfund4,5, Matteo Rizzi4,5
1Center for Quantum Devices and Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark.
Physical Review Letters
|June 15, 2024
Summary
Hybrid Josephson junction arrays enable quantum simulations of exotic phase transitions. This study uses these arrays to simulate the tricritical Ising phase transition, offering insights into topological order and quantum computing.
Area of Science:
- Quantum Simulation
- Condensed Matter Physics
- Quantum Field Theory
Background:
- Hybrid superconductor-semiconductor Josephson junction arrays offer controllable platforms for quantum simulations.
- Nonsinusoidal energy-phase relations facilitate the study of complex quantum interactions and phase transitions.
Purpose of the Study:
- To propose and analyze a two-leg ladder Josephson junction array for simulating the tricritical Ising phase transition.
- To explore the connection between this transition, Fibonacci anyons, and 2D topological order.
Main Methods:
- Bosonization techniques to derive the effective quantum field theory.
- Matrix-product-state numerical simulations to confirm theoretical predictions.
- Analysis of a three-frequency sine-Gordon quantum field theory.
Main Results:
- The proposed Josephson junction array effectively simulates the tricritical Ising phase transition.
- Numerical simulations confirm the presence of the targeted tricritical point.
- Identification of experimental observables to probe the system's quantum physics.
Conclusions:
- Hybrid Josephson junction arrays are viable platforms for simulating critical phenomena and topological order.
- The study provides a building block for scalable 2D topological quantum computing architectures.
- Experimental verification of these quantum simulations is feasible with current technology.
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