Abstract
We investigate the full counting statistics (FCS) of spin-conserving and spin-flip charge transitions in Pauli-spin blockade regime of a GaAs double quantum dot. A theoretical model is proposed to evaluate all spin-conserving and spin-flip tunnel rates, and to demonstrate the fundamental relation between FCS and waiting time distribution. We observe the remarkable features of parity effect and a tail structure in the constructed FCS, which do not appear in the Poisson distribution, and are originated from spin degeneracy and coexistence of slow and fast transitions, respectively. This study is potentially useful for elucidating the spin-related and other complex transition dynamics in quantum systems.
Highlights
The recent advances in charge sensing technologies using single electron transistors or quantum dots (QDs) have facilitated the tracking of charge dynamics, including charge tunneling, electron-phonon coupling, and generation of photoelectrons with the resolution of single charge [1,2,3,4,5,6,7,8]
We enumerate advantages in full counting statistics (FCS) comparing to waiting time distribution for the evaluation with demonstration of the universal relation between FCS and waiting time distribution We report peculiar statistical features in the FCS, which appear in the system holding spin degeneracy and coexistence of slow and fast transitions
We indicate the advantages of FCS comparing to waiting time distribution (WTD) when we analyze the tunnel rates
Summary
The recent advances in charge sensing technologies using single electron transistors or quantum dots (QDs) have facilitated the tracking of charge dynamics, including charge tunneling, electron-phonon coupling, and generation of photoelectrons with the resolution of single charge [1,2,3,4,5,6,7,8]. In order to establish FCS for more complicated statistical phenomena, it is necessary to investigate QDs with more internal degrees of freedom, e.g., spin-related coupling between quantum states, or coexisting fast and slow transitions. Such complicated phenomena in mesoscopic devices on which the spin effect plays significant roles have been intensively studied in several research fields. The observed features in FCS of asymmetric tailing and parity effect, are discussed in a convincing manner These findings are potentially useful for understanding more complicated transition dynamics realized in multiple spin-correlated QDs. we suppose that our results on the charge and spin dynamics will be beneficial for QDs and for any other systems in which charge and spin degrees of freedom are well defined. FCS of spin-flip and spin-conserving tunnels has recently been studied in the research field of cold atoms [36]
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