Landau-Zener-Stueckelberg physics with a singular continuum of states

Abstract

This work addresses the dynamical quantum problem of a driven discrete energy level coupled to a semi-infinite continuum whose density of states has a square-root-type singularity, such as states of a free particle in one dimension or quasiparticle states in a BCS superconductor. The system dynamics is strongly affected by the quantum-mechanical repulsion between the discrete level and the singularity, which gives rise to a bound state, suppresses the decay into the continuum, and can produce Stueckelberg oscillations. This quantum coherence effect may limit the performance of mesoscopic superconducting devices, such as quantum electron turnstile.

arXiv commentaccepted version; 10 pages, 5 figures

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• Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction
• The Interacting Mesoscopic Capacitor Out of Equilibrium
• Classical-to-quantum crossover in electron on-demand emission
• Signature of the transition to a bound state in thermoelectric quantum transport
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Adiabatic almost-topological pumping of fractional charges in non-interacting quantum dots
• Multiple perfectly-transmitting states of a single-level at strong coupling