Low-frequency spectroscopy for quantum multi-level systems

Abstract

A periodically driven quantum system with avoided-level crossing experiences both non-adiabatic transitions and wave-function phase changes. These result in coherent interference fringes in the system's occupation probabilities. For qubits, with repelling energy levels, such interference, named after Landau-Zener-Stuckelberg-Majorana, displays arc-shaped resonance lines. We demonstrate that in the case of a multi-level system with an avoided-level crossing of the two lower levels, the shape of the resonances can change from convex arcs to concave heart-shaped and harp-shaped resonance lines. In this way, the shape of such resonance fringes is defined by the whole spectrum, providing insight on the slow-frequency system spectroscopy. As a particular example, we consider this for valley-orbit silicon quantum dots.

arXiv comment8 pages, 7 figures

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• Three-Level Landau-Zener Dynamics
• Two-level systems with periodic $N$-step driving fields: Exact dynamics and quantum state manipulations
• Coupling-assisted Landau-Majorana-Stuckelberg-Zener transition in two-interacting-qubit systems
• Floquet state depletion in ac-driven circuit QED
• Generalized Adiabatic Impulse Approximation
• Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
• A quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry
• Valleytronic full configuration-interaction approach: An application to the excitation spectra of Si double-dot qubits
• Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
• Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
• Full tunability and quantum coherent dynamics of a driven multilevel system
• Visualized Wave Mechanics by Coupled Macroscopic Pendula: Classical Analogue to Driven Quantum Bits
• Effective dynamics and quantum state engineering by periodic kicks