Memory effect preserved time-local approach to noise spectrum of transport current

Abstract

Within the second-order non-Markovian master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density operators, we propose a practical and very efficient time-local approach to compute the noise spectrum, including the asymmetric spectrum, which contains the full information of energy emission and absorption. We obtain an analytical formula of the current noise spectrum to characterize the nonequilibrium transport including electron-electron Coulomb interaction and the memory effect. We demonstrate the proposed method in transport through interacting-quantum-dots system, and find good agreement with the exact results under broad range of parameters.

8 pages, 3 figures

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• Majorana differential shot noise and its universal thermoelectric crossover
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Coulomb staircase in an asymmetrically coupled quantum dot
• Finite-frequency noise, Fano factor, $\Delta T$-noise and cross-correlations in double quantum dots
• Majorana qubit readout by a point-contact detector under finite bias voltages