Memory in quantum dot blinking

Abstract

The photoluminescence intermittency (blinking) of quantum dots is interesting because it is an easily-measured quantum process whose transition statistics cannot be explained by Fermi's Golden Rule. Commonly, the transition statistics are power-law distributed, implying that quantum dots possess at least trivial memories. By investigating the temporal correlations in the blinking data, we demonstrate with high statistical confidence that quantum dot blinking data has non-trivial memory, which we define to be statistical complexity greater than one. We show that this memory cannot be discovered using the transition distribution. We show by simulation that this memory does not arise from standard data manipulations. Finally, we conclude that at least three physical mechanisms can explain the measured non-trivial memory: 1) Storage of state information in the chemical structure of a quantum dot; 2) The existence of more than two intensity levels in a quantum dot; and 3) The overlap in the intensity distributions of the quantum dot states, which arises from fundamental photon statistics.

arXiv commentAdded supplementary quantum dot plots in source directory

References in corpus (20)

• Deep-STORM: super-resolution single-molecule microscopy by deep learning
• Universal emission intermittency in quantum dots, nanorods, and nanowires
• Statistical Aging and Non Ergodicity in the Fluorescence of Single Nanocrystals
• Non-Markovian quantum processes: complete framework and efficient characterisation
• Power-law statistics and universal scaling in the absence of criticality
• Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
• A brief history of long memory: Hurst, Mandelbrot and the road to ARFIMA
• Characterizing Quantum-Dot Blinking Using Noise Power Spectra
• Power-law tail distributions and nonergodicity
• An introduction to operational quantum dynamics
• Relaxation due to random collisions with a many-qudit environment
• Autocorrelation analysis for the unbiased determination of power-law exponents in single-quantum-dot blinking
• Informational and Causal Architecture of Discrete-Time Renewal Processes
• Informational and Causal Architecture of Continuous-time Renewal and Hidden Semi-Markov Processes
• General anesthesia reduces complexity and temporal asymmetry of the informational structures derived from neural recordings in Drosophila
• Structure and Randomness of Continuous-Time Discrete-Event Processes
• Memories in the Photoluminescence Intermittency of Single Cesium Lead Bromide Nanocrystals
• Statistical Signatures of Structural Organization: The case of long memory in renewal processes
• Fraudulent White Noise: Flat power spectra belie arbitrarily complex processes
• Discovering Causal Structure with Reproducing-Kernel Hilbert Space $\epsilon$-Machines

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