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Landau-Zener-Stuckelberg interferometry

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arxiv 0911.1917 v3 pith:7NTDGBLL submitted 2009-11-10 cond-mat.supr-con physics.atom-phquant-ph

classification cond-mat.supr-conphysics.atom-phquant-ph
keywords interferometrysystemcontroldrivingknownlandau-zener-stuckelbergparametersperiodic
verification ladder T0 review T1 audit T2 compute T3 formal
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A transition between energy levels at an avoided crossing is known as a Landau-Zener transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large amplitude, a sequence of transitions occurs. The phase accumulated between transitions (commonly known as the Stuckelberg phase) may result in constructive or destructive interference. Accordingly, the physical observables of the system exhibit periodic dependence on the various system parameters. This phenomenon is often referred to as Landau-Zener-Stuckelberg (LZS) interferometry. Phenomena related to LZS interferometry occur in a variety of physical systems. In particular, recent experiments on LZS interferometry in superconducting TLSs (qubits) have demonstrated the potential for using this kind of interferometry as an effective tool for obtaining the parameters characterizing the TLS as well as its interaction with the control fields and with the environment. Furthermore, strong driving could allow for fast and reliable control of the quantum system. Here we review recent experimental results on LZS interferometry, and we present related theory.

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Cited by 3 Pith papers

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  1. Landau-Zener-St\"uckelberg-Majorana dynamics of magnetized quarkonia

    hep-ph 2025-12 conditional novelty 5.0 of 10

    A Landau-Zener Hamiltonian fitted to the static charmonium spectrum predicts that fast magnetic-field sweeps drive nonadiabatic transitions between charmonium states, with Stückelberg interference controlling final po...

  2. Compact Quantum Dot Models for Analog Microwave co-Simulation

    quant-ph 2025-02 conditional novelty 5.0 of 10

    Quantum-dot devices are modeled in Verilog-A with the Lindblad master equation, enabling mixed quantum-classical circuit co-simulation in Cadence Spectre with results matching analytic theory.

  3. Non-adiabatic transitions in the density matrix formalism

    quant-ph 2026-06 unverdicted novelty 4.0 of 10

    The paper derives a density-matrix perturbation formula for two-state non-adiabatic transitions that reproduces the Landau-Zener result only to first order.

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