Landau-Zener transition between two quantum dots coupled by resonant tunneling
arXiv:2206.07853 · doi:10.1016/j.ssc.2022.114892
Abstract
We consider the transition of electron between two quantum dots in which the discrete levels are swept past each other with a constant velocity. If a direct tunneling between the dot levels was allowed, an electron will be transferred between the dots when the levels cross. This transfer is described in terms of the conventional Landau-Zener theory. We assume that direct tunneling between the dots is forbidden. Rather, the transfer is due to the resonant tunneling via a discrete impurity level separating the dots. Then the description of the electron transfer reduces to a threestate (two dots plus impurity) Landau-Zener transition. Transition probability depends on the relative positions of the resonant level and the energy at which the levels cross. It also depends on the left-right asymmetry of tunneling between the impurity and the left(right) dots. We calculate the transition probability in different limits of the horizontal (in space) and vertical (in energy) impurity level positions.
arXiv comment6 pages
References in corpus (12)
- Landau-Zener-Stuckelberg interferometry
- Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
- Quantum Coherence in a One-Electron Semiconductor Charge Qubit
- Coherent Quasiclassical Dynamics of a Persistent Current Qubit
- Landau-Zener transition in a multilevel system. An exact result
- Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings
- Nonequilibrium Landau-Zener-Stuckelberg spectroscopy in a double quantum dot
- Solvable 4-state Landau-Zener model of two interacting qubits with path interference
- Comment on "Exact results for survival probability in the multistate Landau-Zener model"
- Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
- Coupled Landau-Zener-Stuckelberg Quantum Dot Interferometers
- Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models