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Physical review. B./Physical review. B

Anomalous conditional counting statistics in an electron-spin-resonance quantum dot measured by a quantum point contact

Yi Ding, Yiying Yan, Jing Hu, Georg Engelhardt, JunYan Luo

Published Mar 18, 2024• 3 citations
Publisher

Abstract

A detailed understanding of the full measurement statistics in experiments is the basis for thorough device characterization and advanced applications such as quantum metrology. In this spirit, we investigate the conditional counting statistics of an electron-spin-resonance pumped quantum dot (QD), which is tunnel-coupled to a side electrode and continuously monitored by a quantum point contact (QPC). For such a noninvasive detector, we find that the spin current through the QD and its related cumulants exhibit intriguing features and system parameter dependences when conditioned on the QPC current, which are in strong contrast to the unconditional cumulants. By turning the perspective around and considering the counting statistics of the QPC current conditioned on the QD current, we reveal an anomalous conditional QPC current noise, which is surprisingly suppressed for increasing coupling to the environment. Our results show that information backaction can substantially render statistical transport fluctuations. This unique advantage of the conditional counting statistics in probing the underlying correlations between system and detector, even for noninvasive measurements, can thus be employed for improving measurement protocols in quantum metrology.

DOI
10.1103/physrevb.109.115136

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A detailed understanding of the full measurement statistics in experiments is the basis for thorough device characterization and advanced applications such as quantum metrology. In this spirit, we investigate the conditional counting statistics of an electron-spin-resonance pumped quantum dot (QD), which is tunnel-coupled to a side electrode and continuously monitored by a quantum point contact (QPC). For such a noninvasive detector, we find that the spin current through the QD and its related cumulants exhibit intriguing features and system parameter dependences when conditioned on the QPC current, which are in strong contrast to the unconditional cumulants. By turning the perspective around and considering the counting statistics of the QPC current conditioned on the QD current, we reveal an anomalous conditional QPC current noise, which is surprisingly suppressed for increasing coupling to the environment. Our results show that information backaction can substantially render statistical transport fluctuations. This unique advantage of the conditional counting statistics in probing the underlying correlations between system and detector, even for noninvasive measurements, can thus be employed for improving measurement protocols in quantum metrology.
We investigate a tunnel contact coupled to a double quantum dot (DQD) and employed as a charge monitor for the latter. We consider both the classical limit and the quantum regime. In the classical case, we derive measurement correlations from conditional probabilities, yielding quantitative statements about the parameter regime in which the detection scheme works well. Moreover, we demonstrate that not only the DQD occupation but also the corresponding current may strongly correlate with the detector current. The quantum-mechanical solution, obtained with a Bloch-Redfield master equation, shows that the backaction of the measurement tends to localize the DQD electrons, and thus significantly reduces the DQD current. Moreover, it provides the effective parameters of the classical treatment. It turns out that already the classical description is adequate for most operating regimes.
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Quantum detector properties of the quantum point contact (QPC) are analyzed for an arbitrary electron transparency and coupling strength to the measured system and are shown to be determined by the electron counting statistics. Conditions of the quantum-limited operation of the QPC detector, which prevent information loss through the scattering time and scattering phases, are found for arbitrary coupling. We show that the phase information can be restored and used for the quantum-limited detection by inclusion of the QPC detector in the electronic Mach-Zehnder interferometer.
We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of electrons on the double dot is detected with a nearby quantum point contact. Charge transport through the double dot is governed by a non-Markovian generalized master equation. We describe how the cumulants of the current can be obtained for such problems, and investigate the difference between the dephasing mechanisms induced by the quantum point contact and the coupling to the external heat bath. Finally, we consider various open questions of relevance to future research.
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