Low-frequency spectroscopy for quantum multilevel systems

A periodically driven quantum system with avoided level crossing experiences both nonadiabatic 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...

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Bibliographic Details
Published in:Physical review. B 2018-11, Vol.98 (19), Article 195434
Main Authors: Shevchenko, S. N., Ryzhov, A. I., Nori, Franco
Format: Article
Language:English
Subjects:
Energy levels
Energy spectra
Interference fringes
Phase transitions
Quantum dots
Quantum theory
Qubits (quantum computing)
Resonance lines
Spectroscopy
Spectrum analysis
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Summary:A periodically driven quantum system with avoided level crossing experiences both nonadiabatic 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-Stückelberg-Majorana, displays arc-shaped resonance lines. In the case of a multilevel system with an avoided level crossing of the two lower levels, we demonstrate that the shape of the resonances can change from convex arcs to concave heart-shaped and harp-shaped resonance lines. Indeed, the whole energy spectrum determines the shape of such resonance fringes and this also provides insight into the slow-frequency system spectroscopy. As a particular example, we consider this for valley-orbit silicon quantum dots, which are important for the emerging field of valleytronics.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.195434