Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference

Abstract

Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has been known that driving a quantum two-level system results in tunneling between its states. Even though the interference between these transitions is known to be important, it is only recently that it became both accessible, controllable, and useful for engineering quantum systems. Here, we study systematically various aspects of LZSM physics and review the relevant literature, significantly expanding the review article in [Shevchenko, S. N., S. Ashhab, and F. Nori (2010), "Landau-Zener-Stückelberg interferometry," Phys. Rep. 492, 1].

Review article, 100 pages, 19 figures, published in Physics Reports (Open access)

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• Vibronic effects on the quantum tunnelling of magnetisation in Kramers single-molecule magnets
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• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
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• Counterdiabatic Driving for Periodically Driven Systems
• Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
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• Coherent Charge Oscillations in a Bilayer Graphene Double Quantum Dot
• On the applicability of the Landau-Zener formula to axion-photon conversion
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
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• Bloch Oscillation Phases investigated by Multi-path Stuckelberg Atom Interferometry
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• Genuine Multipartite Entanglement in Quantum Optimization
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• Theoretical study of the I${}^{+}$ + I${}^{-}$ mutual neutralization reaction
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