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Robust Spectral π Pairing in the Random-Field Floquet Quantum Ising Model.

Harald Schmid1, Alexander-Georg Penner1, Kang Yang1

  • 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany.

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This study reveals that π pairings in the Floquet quantum Ising model are robust against longitudinal disorder, unlike zero pairings. This finding has implications for quantum information processing and superconducting quantum processors.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Many-Body Physics

Background:

  • Superconducting quantum processors and the quantum Ising model are key areas of quantum information research.
  • Understanding spectral properties, such as level pairings, is crucial for quantum device performance.

Purpose of the Study:

  • To investigate level pairings in the many-body spectrum of the random-field Floquet quantum Ising model.
  • To analyze the impact of transverse and longitudinal disorder on Majorana zero and π modes.

Main Methods:

  • Utilizing Jordan-Wigner fermions to represent the spin model.
  • Applying self-consistent Floquet perturbation theory.
  • Analyzing log-normal distributions of level splittings.

Main Results:

  • Identified Majorana zero and π modes as the source of level pairings.
  • Observed log-normal distributions for both zero and π splittings under transverse fields.
  • Demonstrated that longitudinal fields lift zero pairings rapidly while π pairings show remarkable robustness.

Conclusions:

  • The distinct behaviors of zero and π pairings under longitudinal disorder are explained.
  • The robustness of π pairings suggests potential applications in quantum information processing.
  • Findings are motivated by experiments on superconducting quantum processors.