Landau–Zener without a qubit: multiphoton sidebands interaction and signatures of dissipative quantum chaos

Abstract Landau–Zener–Stückelberg–Majorana (LZSM) interference occurs when qubit parameters are periodically modulated across avoided level crossings. We explore this phenomenon in nonlinear multilevel bosonic systems, where interference is influenced by multiple energy levels. We fabricate two supe...

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Bibliographic Details
Main Authors: Léo Peyruchat, Fabrizio Minganti, Marco Scigliuzzo, Filippo Ferrari, Vincent Jouanny, Franco Nori, Vincenzo Savona, Pasquale Scarlino
Format: Article
Language:English
Published: Nature Portfolio 2025-04-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-025-00984-4
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Summary:Abstract Landau–Zener–Stückelberg–Majorana (LZSM) interference occurs when qubit parameters are periodically modulated across avoided level crossings. We explore this phenomenon in nonlinear multilevel bosonic systems, where interference is influenced by multiple energy levels. We fabricate two superconducting resonators with flux-tunable Josephson junction arrays. The first device, exhibiting weak nonlinearity, behaves like a linear resonator under weak driving but shows LZSM interference akin to two-level systems. With stronger driving, nonlinear effects alter the interference pattern. We theoretically demonstrate that merging LZSM peaks can lead to dissipative quantum chaos. In the second device, where nonlinearity exceeds photon-loss rates, we observe additional LZSM peaks from Kerr multiphoton resonances. Under Floquet theory, these resonances represent synthetic modes of coupled nonlinear cavities, revealing effective coupling as modulation parameters vary. Our findings advance the understanding of LZSM physics and emphasize the control of nonlinear Floquet states and the emergence of chaos in engineered systems, with significant implications for novel applications in quantum dynamics and quantum control.
ISSN:2056-6387