Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots

Abstract

New exact formulas are derived for systems involving Landau-Zener transition rates and for absorption spectra in quantum dots. These rectify previous inaccurate approximations utilized in experimental studies. The exact formulas give an explicit expression for the maxima and minima of the transition rate at any oscillating period and reveal a number of striking physical consequences, such as the suppression of oscillations for half-integer values of the detuning parameter and that the periodic dependence on the detuning parameter changes at special values of the driving field amplitude. The fluorescence spectra of quantum dots exhibit similar properties.

22 pages, 5 figures; v2 Two typos corrected and references added; v3 Final version, abstract expanded, discussions added. 24 pages, 6 figures

References in corpus (10)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Resolved Sideband Emission of InAs/GaAs Quantum Dots Strained by Surface Acoustic Waves
• Coherent Quasiclassical Dynamics of a Persistent Current Qubit
• Quantum Phase Tomography of a Strongly Driven Qubit
• Stückelberg interference in a superconducting qubit under periodic latching modulation
• Majorana's approach to nonadiabatic transitions validates the adiabatic-impulse approximation
• Resonance fluorescence from an asymmetric quantum dot dressed by a bichromatic electromagnetic field
• A quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry
• Rate-equation approach for multi-level quantum systems
• Interferometry of multi-level systems: rate-equation approach for a charge qudit

Cited by in corpus (2)

• Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions
• Analytical exploration of the optomechanical attractor diagram and of limit cycles