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physica status solidi (b)

Transport through coupled quantum dots

Tobias Brandes

Published Jul 27, 2006• 3 citations
Publisher

Abstract

Abstract A brief survey of theoretical activities on electronic transport in coupled charge qubits is given. Some subtleties of the double quantum dot model (infinite bias, infinitely strong Coulomb blockade) are pointed out, and the motivation behind using ac‐field, noise and entanglement as a probe for testing transport in a simple setting is discussed. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssb.200668050

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Abstract A brief survey of theoretical activities on electronic transport in coupled charge qubits is given. Some subtleties of the double quantum dot model (infinite bias, infinitely strong Coulomb blockade) are pointed out, and the motivation behind using ac‐field, noise and entanglement as a probe for testing transport in a simple setting is discussed. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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We investigate the electronic transport through two parallel double quantum dots coupled both capacitively and via a perpendicularly aligned charge qubit. The presence of the qubit leads to a modification of the coherent tunnel amplitudes of each double quantum dot. We study the influence of the qubit on the electronic steady-state currents through the system, the entanglement between the transport double quantum dots, and the back-action on the charge qubit. We use a Born-Markov secular quantum master equation for the system. The obtained currents show signatures of the qubit. The stationary qubit state may be tuned and even rendered pure by applying suitable voltages. In the Coulomb diamonds, it is also possible to stabilize pure entangled states of the transport double quantum dots.
We describe time-dependent single-electron transport through quantum dots in the Coulomb blockade regime. Coherent dynamics of a single charge qubit in a double quantum dot is discussed with full one-qubit manipulation. Strength of decoherence is controlled with the applied voltage, but uncontrolled decoherence arises from electron–phonon coupling and background fluctuations. Then energy-relaxation dynamics is discussed for orbital and spin degree of freedom in a quantum dot. The electron–phonon interaction and spin–orbit coupling can be investigated as the dissipation problem. Finally, charge detection measurement is presented for statistical analysis of single-electron tunnelling transitions and for a sensitive qubit read-out device.