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Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots

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Weak values of electron spin in a double quantum dot.

Alessandro Romito¹, Yuval Gefen, Yaroslav M Blanter

¹Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters

|March 21, 2008

Summary

This study details a protocol for measuring electron spin weak values in solid-state devices using a double quantum dot and quantum point contact detector. It predicts anomalously large and negative spin values, accounting for decoherence effects.

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Area of Science:

Quantum mechanics
Solid-state physics
Quantum information

Background:

Weak measurement is a quantum measurement technique.
Postselection is a method used in quantum mechanics to select specific outcomes.
Electron spin measurement in solid-state devices is crucial for quantum technologies.

Purpose of the Study:

To propose a protocol for measuring the weak value of electron spin in a solid-state device.
To investigate the prediction of anomalously large and negative spin values.
To incorporate the effects of decoherence into the weak measurement protocol.

Main Methods:

A two-step procedure involving weak measurement followed by strong measurement (postselection).
Utilizing a solid-state device comprising a double quantum dot and a quantum point contact as a detector.
Developing a method to account for decoherence in the weak value measurement.

Main Results:

The protocol enables the measurement of weak values for electron spin.
Anomalously large and negative values of the total spin for a two-electron system are predicted.
A method to incorporate decoherence into the weak measurement procedure is presented.

Conclusions:

The proposed protocol offers a viable method for measuring electron spin weak values in solid-state systems.
The findings suggest the potential for observing unique spin properties in two-electron systems.
The study addresses the practical challenge of decoherence in quantum measurements.