Non-Markovian effects in the Quantum noise of interacting nanostructures

Abstract

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of the initial system-bath correlations, and how these can be calculated using the formalism of quantum master equations. Our method is particularly important in interacting systems, and when the measured frequencies are larger that the temperature and applied voltage. In this regime, quantum-noise steps are expected in the power spectrum due to vacuum fluctuations. This is illustrated in the current noise spectrum of single resonant level model and of a double quantum dot --charge qubit-- attached to electronic reservoirs. Furthermore, the method allows for the calculation of the single-time counting statistics in quantum dots, measured in recent experiments.

9 Pages, 7 Figures. Published version

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Cited by in corpus (12)

• Electron Waiting Times in Non-Markovian Quantum Transport
• Bunching and anti-bunching in electronic transport
• Full-counting statistics of time-dependent conductors
• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Spectral Analysis and Identification of Noises in Quantum Systems
• Memory effect preserved time-local approach to noise spectrum of transport current
• Coherent current correlations in a double-dot Cooper pair splitter
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Quantum coherence in noise power spectrum in two quantum dots
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots
• Finite-frequency noise in non-Markovian systems: A Markovian embedding approach
• Non-Markovian full counting statistics in quantum dot molecules