Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
arXiv:2404.10051 · doi:10.1038/s41534-025-00984-4
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.
published version
References in corpus (86)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Quantum fluids of light
- Circuit Quantum Electrodynamics
- Many-body localization, thermalization, and entanglement
- Ultrastrong coupling between light and matter
- Floquet Engineering of Quantum Materials
- Nonlinear topological photonics
- Quantum Simulators: Architectures and Opportunities
- Observation of photonic anomalous Floquet Topological Insulators
- Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
- Floquet-Bloch theory and topology in periodically driven lattices
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Topological quantum matter in synthetic dimensions
- The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
- Observation of Topological Band Gap Solitons
- Periodically Driving a Many-Body Localized Quantum System
- A single photonic cavity with two independent physical synthetic dimensions
- Landau-Zener interferometry with superconducting qubits
- An analysis method for asymmetric resonator transmission applied to superconducting devices
- Exponential suppression of bit-flips in a qubit encoded in an oscillator
- Implementation of low-loss superinductances for quantum circuits
- Spectral statistics across the many-body localization transition
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Nonreciprocal microwave signal processing with a Field-Programmable Josephson Amplifier
- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Tailoring quantum gases by Floquet engineering
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- Quantum systems under frequency modulation
- Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
- Emergent equilibrium in many-body optical bistability
- Controlling the dynamic range of a Josephson parametric amplifier
- Probing quantum information propagation with out-of-time-ordered correlators
- Giant modulation of optical nonlinearity by Floquet engineering
- Improving wafer-scale Josephson junction resistance variation in superconducting quantum coherent circuits
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential
- Floquet States in Open Quantum Systems
- Critical parametric quantum sensing
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
- Characterization of Qubit Dephasing by Landau-Zener Interferometry
- Transmon platform for quantum computing challenged by chaotic fluctuations
- Kerr coefficients of plasma resonances in Josephson junction chains
- Lecture Notes on the Theory of Open Quantum Systems
- Generation of squeezed states of microwave radiation in a superconducting resonant circuit
- One hundred second bit-flip time in a two-photon dissipative oscillator
- Implementation of a transmon qubit using superconducting granular aluminum
- Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
- Multifrequency spin resonance in diamond
- Measurement-Induced Transmon Ionization
- Exploring quantum signatures of chaos on a Floquet synthetic lattice
- Cross-Kerr nonlinearity for phonon counting
- Programmable Heisenberg interactions between Floquet qubits
- Josephson Array Mode Parametric Amplifier
- Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
- Spectral Evidence of Squeezing of a Weakly Damped Driven Nanomechanical Mode
- Kerr non-linearity in a superconducting Josephson metamaterial
- Landau-Zener-Stuckelberg-Majorana interferometry of a single hole
- Quantum behavior of a superconducting Duffing oscillator at the dissipative phase transition
- Floquet states in dissipative open quantum systems
- Observation of slowly decaying eigenmodes without exceptional points in Floquet, dissipative, synthetic circuits
- Quantum parameter estimation with the Landau-Zener transition
- Mirror, mirror: Landau-Zener-Stuckelberg-Majorana interferometry of a superconducting qubit in front of a mirror
- A silicon-based single-electron interferometer coupled to a fermionic sea
- Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
- Floquet-Landau-Zener interferometry: Usefulness of the Floquet theory in pulse-laser-driven systems
- Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and motional averaging
- Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
- Engineering, control and longitudinal readout of Floquet qubits
- Quantum versus classical switching dynamics of driven-dissipative Kerr resonators
- Electric fields for light: Propagation of microwave photons along a synthetic dimension
- Correlated oscillations in Kerr parametric oscillators with tunable effective coupling
- Quantifying quantum coherence of multiple-charge states in tunable Josephson junctions
- Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Classical and Quantum Chaos in Chirally-Driven, Dissipative Bose-Hubbard Systems
- Generation of Schrödinger cat states through photon-assisted Landau-Zener-Stückelberg interferometry
- Control of spectroscopic features of multiphoton transitions in two coupled qubits by driving fields
- The scattering coefficients of superconducting microwave resonators: II. System-bath approach
- Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
- Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
- Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
- Visualized Wave Mechanics by Coupled Macroscopic Pendula: Classical Analogue to Driven Quantum Bits
- Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
Cited by in corpus (4)
- Correspondence principle, dissipation, and Ginibre ensemble
- Open-system dynamics in local Lindbladians with chaotic spectra
- Universal dissipators for driven open quantum systems and the correction to linear response
- Tunable frequency conversion and comb generation with a superconducting artificial atom