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Open Quantum Systems Decoherence Quantum Simulation

Self-similar phase diagram of the Fibonacci-driven quantum Ising model

arXiv
Authors: Harald Schmid, Yang Peng, Gil Refael, Felix von Oppen

Year

2024

Paper ID

37741

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

We study a stroboscopic quantum Ising model with Fibonacci dynamics. Focusing on boundary spin correlation functions in long but finite chains, our simulations as well as analytical arguments reveal a self-similar phase diagram exhibiting regions with Majorana zero modes (MZM) as well as Majorana golden-ratio modes (MGM). We identify the self-similarity transform which governs the evolution of the phase diagram with increasing simulation time. Integrability-breaking perturbations lead to a temporal decay of the boundary spin correlations, ultimaltely limiting the self-similarity of the phase diagram. Our predictions are testable with current quantum information processors.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • We study a stroboscopic quantum Ising model with Fibonacci dynamics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.18219 [2] arXiv https://arxiv.org/abs/2410.18219 [3] Publisher https://arxiv.org/abs/2410.18219

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