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.

arXiv comment13 pages, 3 figures, submitted to PRB

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Cited by in corpus (28)

• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
• Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
• Noise Spectra of ac-driven quantum dots
• Noise spectrum of a quantum dot-resonator lasing circuit
• 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
• Electron transport through a quantum dot assisted by cavity photons
• Full counting statistics of renormalized dynamics in open quantum transport system
• Coulomb blockade double-dot Aharonov-Bohm interferometer: giant fluctuations
• Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
• Nonequilibirum noise spectrum and Coulomb-blockade-assisted Rabi interference in a double-dot Aharonov-Bohm interferometer
• Real-time counting of single electron tunneling through a T-shaped double quantum dot system
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• Non-Markovian correlation functions for open quantum systems
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• Decoherence and the retrieval of lost information
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• Double-dot interferometer for quantum measurement of Majorana qubits and stabilizers
• Finite-frequency noise in non-Markovian systems: A Markovian embedding approach