Phonon-mediated decoherence in triple quantum dot interferometers

Abstract

We investigate decoherence in a triple quantum dot in ring configuration in which one dot is coupled to a damped phonon mode, while the other two dots are connected to source and drain, respectively. In the absence of decoherence, single electron transport may get blocked by an electron falling into a superposition decoupled from the drain and known as dark state. Phonon-mediated decoherence affects this superposition and leads to a finite current. We study the current and its shot noise numerically within a master equation approach for the electrons and the dissipative phonon mode. A polaron transformation allows us to obtain a reduced equation for only the dot electrons which provides analytical results in agreement with numerical ones.

9 pages, 6 figures

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• Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
• Two-particle dark state cooling of a nanomechanical resonator
• Counting statistics of dark-state transport through a carbon nanotube quantum dot
• Avoiding dark states in open quantum systems by tailored initial correlations
• Vibration induced memory effects and switching in ac-driven molecular nanojunctions
• Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction
• Distinguishing coherent from incoherent charge transport in linear triple quantum dots
• Anomalous magnetotransport through reflection-symmetric artificial molecules
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