Equivalent linear two-body method for many-electron quantum dots

Askhat M Basharov, S. A. Dubovis

The effective Hamiltonian of a system describing electrons of two quantum dots in a two-frequency electromagnetic field upon Raman resonance of the field with a pair of the electronic levels of different dots is obtained by the method of equivalent transformation. The states of the continuous spectrum (conduction bands) are correctly taken into account. The role of the terms describing the dynamic Stark effect in a two-body system is analysed. A new mechanism of particle transfer between quantum wells in a non-resonance electromagnetic field is proposed, which is free from disadvantages of previous models.

P. B. Jones

Jong E. Han

We develope a method of mapping quantum nonequilibrium steady-state to an effective equilibrium system and present an algorithm to calculate electron-transport using an equilibrium technique. A systematic implementation of boundary conditions in steady-state nonequilibrium is made in the statistical operator $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{Y}$ constructed from scattering state operators. We explicitly demonstrate the equivalence of this method to nonequilibrium Green function techniques for a noninteracting quantum dot model. In electron-phonon coupled quantum dot systems, we formulate an algorithm to construct the statistical bias operator $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{Y}$ and perform a full many-body calculation with the quantum Monte Carlo technique. The results coherently demonstrate various transport behaviors such as phonon dephasing, $I\ensuremath{-}V$ staircase, and phonon-assisted tunneling phenomena. This formulation makes the existing computational quantum many-body techniques applicable to quantum steady-state nonequilibrium problems, which will complement the theories based on the diagrammatic approach.

Marte Hoel Jørgensen

Jakub Łuczak, Bogdan R. Bułka

We study generation and dynamics of an exchange spin qubit encoded in three coherently coupled quantum dots with three electrons. For two geometries of the system, a linear and a triangular one, the creation and coherent control of the qubit states are performed by the Landau–Zener transitions. In the triangular case, both the qubit states are equivalent and can be easily generated for particular symmetries of the system. If one of the dots is smaller than the others, one can observe Rabi oscillations that can be used for coherent manipulation of the qubit states. The linear system is easier to fabricate; however, then the qubit states are not equivalent, making qubit operations more difficult to control.

Hans A. Weidenmüller