Double detected spin-dependent quantum dot

TL;DR

This paper investigates the effects of unsharp and sharp quantum measurements on a spin-dependent quantum dot, revealing phenomena like the quantum Zeno effect and measurement-induced state freezing, with implications for quantum control.

Contribution

It introduces a combined analysis of unsharp and sharp detection in quantum dots, demonstrating measurement back-action effects and the potential to control spin states via continuous observation.

Findings

Quantum Zeno effect observed in the system.

Measurement can freeze the quantum state.

Continuous observation can enhance spin transitions.

Abstract

We study the dynamics of a spin-dependent quantum dot system, where an unsharp and a sharp detection scenario is introduced. The back-action of the unsharp detection related to the magnetization, proposed in terms of the continuous quantum measurement theory, is observed via the von Neumann measurement (sharp detection) of the electric charge current. The behavior of the average electron charge current is studied as a function of the unsharp detection strength \gamma, and features of measurement back-action are discussed. The achieved equations reproduce the quantum Zeno effect. Considering magnetic leads, we demonstrate that the measurement process may freeze the system in its initial state. We show that the continuous observation may enhance the transition between spin states, in contradiction with rapidly repeated projective observations, when it slows down. Experimental issue, such as the accuracy of the electric current measurement, is analyzed.