Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach

Abstract

Based on our recent work on quantum transport [Li et al., Phys. Rev. B 71, 205304 (2005)], where the calculation of transport current by means of quantum master equation was presented, in this paper we show how an efficient calculation can be performed for the transport noise spectrum. Compared to the longstanding classical rate equation or the recently proposed quantum trajectory method, the approach presented in this paper combines their respective advantages, i.e., it enables us to tackle both the many-body Coulomb interactionand quantum coherence on equal footing and under a wide range of setup circumstances. The practical performance and advantages are illustrated by a number of examples, where besides the known results and new insights obtained in a transparent manner, we find that this alternative approach is much simpler than other well-known full quantum mechanical methods such as the Landauer-Büttiker scattering matrix theory and the nonequilibrium Green's function technique.

13 pages, 3 figures, submitted to PRB

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• Current noise in a vibrating quantum dot array
• Shot noise in tunneling transport through molecules and quantum dots
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Cited by in corpus (12)

• Time-dependent magnetotransport in an interacting double quantum wire with window coupling
• Full Counting statistics of level renormalization in electron transport through double quantum dots
• Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
• Master equation approach for transport through Majorana zero modes
• Reduced dynamics with renormalization in solid-state charge qubit measurement
• Weak Measurement of Qubit Oscillations with Strong Response Detectors: Violation of the Fundamental Bound Imposed on Linear Detectors
• Mechanism of current noise spectrum in a nonequilibirum Kondo dot system
• Memory effect preserved time-local approach to noise spectrum of transport current
• Spin-dependent current noises in transport through coupled quantum dots
• Renormalized dynamics in charge qubit measurements by a single electron transistor
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Finite-frequency noise in non-Markovian systems: A Markovian embedding approach