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 (19)

• Coupled quantum dots as quantum gates
• Driven coherent oscillations of a single electron spin in a quantum dot
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Triplet-Singlet Spin Relaxation via Nuclei in a Double Quantum Dot
• Quantum weak values
• Fast Single-Charge Sensing with an rf Quantum Point Contact
• How much time does a tunneling particle spend in the barrier region?
• Continuous weak measurement of quantum coherent oscillations
• Differential Charge Sensing and Charge Delocalization in a Tunable Double Quantum Dot
• Hyperfine-mediated gate-driven electron spin resonance
• Nucleus-mediated spin-flip transitions in GaAs quantum dots
• Entanglement, Dephasing, and Phase Recovery via Cross-Correlation Measurements of Electrons
• Conditional statistics of electron transport in interacting nanoscale conductors
• Counting statistics and detector properties of quantum point contacts
• Continuous quantum measurement with independent detector cross-correlations
• Full Counting Statistics of Spin Currents
• Weak measurement of quantum dot spin qubits
• Decoherence of Rabi oscillations of electronic spin states in a double quantum dot

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