Scattering phase of quantum dots: Emergence of universal behavior

Abstract

We investigate scattering through chaotic ballistic quantum dots in the Coulomb blockade regime. Focusing on the scattering phase, we show that large universal sequences emerge in the short wavelength limit, where phase lapses of $\pi$ systematically occur between two consecutive resonances. Our results are corroborated by numerics and are in qualitative agreement with existing experiments.

4 pages, 3 figures, final published version

References in corpus (6)

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• Mesoscopic phase behavior in a quantum dot around crossover between single-level and multilevel transport regimes
• Negativity witness for the quantum ergodic conjecture
• Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot
• Transmission phase lapses through a quantum dot in a strong magnetic field
• Transmission phase of a quantum dot and statistical fluctuations of partial-width amplitudes
• Local quantum ergodic conjecture
• Correlation between peak-height modulation and phase-lapses in transport through quantum dots
• Vestiges of quantum oscillations in the open evolution of semiclassical states