Correlated charge polarization in a chain of coupled quantum dots

Abstract

Coherent charge transfer in a linear array of tunnel-coupled quantum dots, electrostatically coupled to external gates, is investigated using the Bethe ansatz for a symmetrically biased Hubbard chain. Charge polarization in this correlated system is shown to proceed via two distinct processes: formation of bound states in the metallic phase, and charge transfer processes corresponding to a superposition of antibound states at opposite ends of the chain in the Mott-insulating phase. The polarizability in the insulating phase of the chain exhibits a universal scaling behavior, while the polarization charge in the metallic phase of the model is shown to be quantized in units of $e/2$.

9 pages, 3 figures, 1 table

References in corpus (1)

• Spectrum of boundary states in the open Hubbard chain

Cited by in corpus (9)

• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Coherent population transfer in a chain of tunnel coupled quantum dots
• Quantum theory of the charge stability diagram of semiconductor double quantum dot systems
• Ferromagnetism in Quantum Dot Plaquettes
• Ab Initio Exact Diagonalization Simulation of the Nagaoka Transition in Quantum Dots
• Neural network based deep learning analysis of semiconductor quantum dot qubits for automated control
• Certain exact many-body results for Hubbard model ground states testable in small quantum dot arrays
• Simulation of Charge Stability Diagrams for Automated Tuning Solutions (SimCATS)
• Quantum Gates Between Two Spins in a Triple Dot System with an Empty Dot