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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.
Physical Review Letters
|June 10, 2024
Summary
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.
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.
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