Detection of the relaxation rates of an interacting quantum dot by a capacitively coupled sensor dot

Abstract

We present a theoretical study of the detection of the decay time scales for a single-level quantum dot by means of a capacitively coupled sensor dot, which acts as an electrometer. We investigate the measurement back-action on the quantum-dot decay rates and elucidate its mechanism. We explicitly show that the setup can be used to measure the bare quantum-dot relaxation rates by choosing gate pulses that minimize the back-action. Interestingly, we find that besides the charge relaxation rate, also the rate associated to the fermion parity in the dot can be accessed with this setup.

15 pages, 6 figures

References in corpus (15)

• Single-shot read-out of an individual electron spin in a quantum dot
• An On-Demand Coherent Single Electron Source
• Zeeman energy and spin relaxation in a one-electron quantum dot
• Optimal energy quanta to current conversion
• Thermodynamics of a physical model implementing a Maxwell demon
• Adiabatic pumping through interacting quantum dots
• Mesoscopic Charge Relaxation
• Single-parameter quantized charge pumping in high magnetic fields
• Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
• Charge pumping in carbon nanotube quantum dots
• Quantum to Classical Transition of the Charge Relaxation Resistance of a Mesoscopic Capacitor
• Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots
• Delayed currents and interaction effects in mesoscopic capacitors
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Charge Qubit Purification by an Electronic Feedback Loop

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