Stückelberg interference in a superconducting qubit under periodic latching modulation

Abstract

When the level separation of a qubit is modulated periodically across an avoided crossing, tunneling to the excited state - and consequently Landau-Zener-Stückelberg interference - can occur. The types of modulation studied so far correspond to a continuous change of the level separation. Here we study periodic latching modulation, in which the level separation is switched abruptly between two values and is kept constant otherwise. In this case, the conventional approach based on the asymptotic Landau-Zener (LZ) formula for transition probabilities is not applicable. We develop a novel adiabatic-impulse model for the evolution of the system and derive the resonance conditions. Additionally, we derive analytical results based on the rotating-wave approximation (RWA). The adiabatic-impulse model and the RWA results are compared with those of a full numerical simulation. These theoretical predictions are tested in an experimental setup consisting of a transmon whose flux bias is modulated with a square wave form. A rich spectrum is observed, with distinctive features correspoding to two regimes: slow-modulation and fast-modulation. These experimental results are shown to be in very good agreement with the theoretical models. Also, differences with respect to the well known case of sinusoidal modulation are discussed, both theoretically and experimentally.

16 pages, 7 figures

References in corpus (41)

• Charge insensitive qubit design derived from the Cooper pair box
• Quantum state engineering with Josephson-junction devices
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Decoherence in Josephson Qubits from Dielectric Loss
• Landau-Zener-Stuckelberg interferometry
• Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
• Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
• Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
• Dynamical Casimir effect in a Josephson metamaterial
• Implementing the Quantum von Neumann Architecture with Superconducting Circuits
• Computing prime factors with a Josephson phase qubit quantum processor
• Landau-Zener interferometry with superconducting qubits
• A coherent beam splitter for electronic spin states
• Millisecond charge-parity fluctuations and induced decoherence in a superconducting qubit
• Two-level systems driven by large-amplitude fields
• Coherence times of dressed states of a superconducting qubit under extreme driving
• Motional Averaging in a Superconducting Qubit
• Entanglement between the future and past in the quantum vacuum
• Non-adiabatic dynamics of two strongly coupled nanomechanical resonator modes
• Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
• Stark effect and generalized Bloch-Siegert shift in a strongly driven two-level system
• Characterization of Qubit Dephasing by Landau-Zener Interferometry
• Recent progress in quantum simulation using superconducting circuits
• Dressed Relaxation and Dephasing in a Strongly Driven Two-Level system
• Observation of Time-domain Rabi Oscillations in the Landau-Zener Regime with a Single Electronic Spin
• Fluctuations From Edge Defects in Superconducting Resonators
• Coherent Adiabatic Spin Control in the Presence of Charge Noise Using Tailored Pulses
• Population Inversion Induced by Landau-Zener Transition in a Strongly Driven rf-SQUID
• Reduced frequency noise in superconducting resonators
• Quantitative evaluation of defect-models in superconducting phase qubits
• Simulating weak localization using superconducting quantum circuits
• Observation of Stückelberg oscillations in accelerated optical lattices
• Qubit interference at avoided crossings: The role of driving shape and bath coupling
• Time-Reversal Symmetry and Universal Conductance Fluctuations in a Driven Two-Level System
• Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect
• Simulating accelerated atoms coupled to a quantum field
• Fast readout of a single Cooper-pair box using its quantum capacitance
• Dielectric losses in multi-layer Josephson junction qubits
• Improved qubit bifurcation readout in the straddling regime of circuit QED
• Charge qubit driven via the Josephson nonlinearity

Cited by in corpus (41)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Quantum systems under frequency modulation
• Observation of Floquet states in a strongly driven artificial atom
• Analog of a quantum heat engine using a single-spin qubit
• Gate-sensing coherent charge oscillations in a silicon field-effect transistor
• Landau-Zener topological quantum state transfer
• Dynamics of a two-level system under strong driving: quantum gate optimization based on floquet theory
• Floquet-engineered enhancement of coherence times in a driven fluxonium qubit
• Engineering dissipation with resistive elements in circuit quantum electrodynamics
• Mirror, mirror: Landau-Zener-Stuckelberg-Majorana interferometry of a superconducting qubit in front of a mirror
• Landau-Zener-Stückelberg-Majorana lasing in circuit QED
• Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and motional averaging
• Quantum interferometry with a g-factor-tunable spin qubit
• Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
• Landau-Zener interference at bichromatic driving
• Two-level systems with periodic $N$-step driving fields: Exact dynamics and quantum state manipulations
• Dynamic transition in Landau-Zener-Stückelberg interferometry of dissipative systems: the case of the flux qubit
• Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
• Floquet state depletion in ac-driven circuit QED
• Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
• Tunable directional photon scattering from a pair of superconducting qubits
• Nonlinear Landau-Zener-Stückelberg-Majorana problem
• Multilevel effects in a driven generalized Rabi model
• Amplification of the coupling strength in a hybrid quantum system
• Coherent dynamics of a photon-dressed qubit
• Sideband control of a multimode quantum bulk acoustic system
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Landau-Zener-Stueckelberg interferometry with driving fields in the quantum regime
• Population transfer driven by far-off-resonant fields
• Quantum gates by periodic driving
• Pulsed quantum annealing
• Probabilistic motional averaging
• Quantum state engineering by periodical two-step modulation in atomic system
• Tunable $\Lambda$-type system made of a superconducting qubit pair
• Stimulated Raman adiabatic passage: effect of system parameters on population transfer
• Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots
• Synthetic-lattice Bloch wave dynamics in a single-mode microwave resonator
• Dynamical phase and quantum heat at fractional frequencies
• Effective dynamics and quantum state engineering by periodic kicks
• Interferometry and dynamics of a transmon-type qubit in front of a mirror
• Tunable frequency conversion and comb generation with a superconducting artificial atom