Finite time Stückelberg interferometry with nanomechanical modes

Abstract

Stückelberg interferometry describes the interference of two strongly coupled modes during a double passage through an avoided energy level crossing. In this work, we experimentally investigate finite time effects in Stückelberg interference and provide an exact analytical solution of the Stückelberg problem. Approximating this solution in distinct limits reveals uncharted parameter regimes of Stückelberg interferometry. Experimentally, we study these regimes using a purely classical, strongly coupled nanomechanical two-mode system of high quality factor. The classical two-mode system consists of the in-plane and out-of-plane fundamental flexural mode of a high stress silicon nitride string resonator, coupled via electric gradient fields. The dielectric control and microwave cavity enhanced universal transduction of the nanoelectromechanical system allows for the experimental access to all theoretically predicted Stückelberg parameter regimes. We exploit our experimental and theoretical findings by studying the onset of Stückelberg interference in dependence of the characteristic system control parameters and obtain characteristic excitation oscillations between the two modes even without the explicit need of traversing the avoided crossing. The presented theory is not limited to classical mechanical two-mode systems but can be applied to every strongly coupled (quantum) two-level system, for example a spin-1/2 system or superconducting qubit.

References in corpus (25)

• Topological energy transfer in an optomechanical system with exceptional points
• Landau-Zener-Stuckelberg interferometry
• Single-shot readout of an electron spin in silicon
• Quantum squeezing of motion in a mechanical resonator
• Non-classical correlations between single photons and phonons from a mechanical oscillator
• Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
• Coherent phonon manipulation in coupled mechanical resonators
• Landau-Zener interferometry with superconducting qubits
• A coherent beam splitter for electronic spin states
• Coherent control of three-spin states in a triple quantum dot
• Optically Mediated Hybridization Between Two Mechanical Modes
• Coherent control of a nanomechanical two-level system
• Universal Vectorial and Ultrasensitive Nanomechanical Force Field Sensor
• Non-adiabatic dynamics of two strongly coupled nanomechanical resonator modes
• Vectorial scanning force microscopy using a nanowire sensor
• Microwave cavity-enhanced transduction for plug and play nanomechanics at room temperature
• Cavity-mediated coupling of mechanical oscillators limited by quantum backaction
• Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
• Frequency and Q-factor control of nanomechanical resonators
• Coherent Adiabatic Spin Control in the Presence of Charge Noise Using Tailored Pulses
• Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry
• Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
• Landau-Zener-Stückelberg Interference of Microwave Dressed States of a Superconducting Phase Qubit
• A strongly-coupled $\Lambda$-type micromechanical system
• Classical Stückelberg interferometry of a nanomechanical two-mode system at room temperature

Cited by in corpus (5)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and motional averaging
• Coherent two-mode dynamics of a nanowire force sensor
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
• Iterative Adaptive Spectroscopy of Short Signals