Weak values of electron spin in a double quantum dot

Abstract

We propose a protocol for a controlled experiment to measure a weak value of the electron's spin in a solid state device. The weak value is obtained by a two step procedure -- weak measurement followed by a strong one (post-selection), where the outcome of the first measurement is kept provided a second post-selected outcome occurs. The set-up consists of a double quantum dot and a weakly coupled quantum point contact to be used as a detector. Anomalously large values of the spin of a two electron system are predicted, as well as negative values of the total spin. We also show how to incorporate the adverse effect of decoherence into this procedure.

4+ pages, 3 figures, final published version

References in corpus (7)

• Driven coherent oscillations of a single electron spin in a quantum dot
• Fast Single-Charge Sensing with an rf Quantum Point Contact
• Hyperfine-mediated gate-driven electron spin resonance
• Conditional statistics of electron transport in interacting nanoscale conductors
• Continuous quantum measurement with independent detector cross-correlations
• Weak measurement of quantum dot spin qubits
• Decoherence of Rabi oscillations of electronic spin states in a double quantum dot

Cited by in corpus (6)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
• Weak measurement: Effect of the detector dynamics
• Tomography of many-body weak values: Mach-Zehnder interferometry
• The information about the state of a qubit gained by a weakly coupled detector
• Weak and strong measurement of a qubit using a switching-based detector