Measuring cotunneling in its wake

Abstract

We introduce a rate formalism to treat classically forbidden electron transport through a quantum dot (cotunneling) in the presence of a coupled measurement device. We demonstrate this formalism for a toy model case of cotunneling through a single-level dot while being coupled to a strongly pinched-off quantum point contact (QPC). We find that the detector generates three types of back-action: the measurement collapses the coherent transport through the virtual state, but at the same time allows for QPC-assisted incoherent transport, and widens the dot level. Last, we obtain the measured cotunneling time from the cross correlation between dot and QPC currents.

15 pages, 9 figures, 1 appendix, published version

References in corpus (12)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Theory of the Franck-Condon blockade regime
• Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
• Conditional statistics of electron transport in interacting nanoscale conductors
• Quantum interference and phonon-mediated back-action in lateral quantum dot circuits
• Weak values of electron spin in a double quantum dot
• GaAs Quantum Dot Thermometry Using Direct Transport and Charge Sensing
• Null Values and Quantum State Discrimination
• Nongalvanic thermometry for ultracold two-dimensional electron domains
• Coherence of a Josephson phase qubit under partial-collapse measurement
• Null weak values in multi-level systems
• Quantum dot occupation and electron dwell time in the cotunneling regime

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• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Distribution of waiting times between electron cotunnelings
• Intrinsic Metastabilities in the Charge Configuration of a Double Quantum Dot
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure
• Interaction-induced charge transfer in a mesoscopic electron spectrometer
• Sensing electrons during an adiabatic coherent transport passage
• Quantum measurement induces a many-body transition
• Making the Virtual Real: Measurement-Powered Tunneling Engines
• Effect of the readout efficiency of quantum measurement on the system entanglement
• Symmetry constrained decoherence of conditional expectation values
• Back-action effects in charge detection