Non-equilibrium quantum theory for nanodevices based on the Feynman–Vernon influence functional
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In this article, a non-equilibrium quantum theory for transient electron dynamics in nanodevices based on the Feynman-Vernon influence functional was presented, which enables the study transient quantum transport in nanostructures with back-reaction effects from the contacts, with non-Markovian dissipation and decoherence being fully taken into account.Abstract:
In this paper, we present a non-equilibrium quantum theory for transient electron dynamics in nanodevices based on the Feynman-Vernon influence functional. Applying the exact master equation for nanodevices we recently developed to the more general case in which all the constituents of a device vary in time in response to time-dependent external voltages, we obtained non-perturbatively the transient quantum transport theory in terms of the reduced density matrix. The theory enables us to study transient quantum transport in nanostructures with back-reaction effects from the contacts, with non-Markovian dissipation and decoherence being fully taken into account. For a simple illustration, we apply the theory to a single-electron transistor subjected to ac bias voltages. The non-Markovian memory structure and the nonlinear response functions describing transient electron transport are obtained.read more
Citations
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Non-Markovian Complexity in the Quantum-to-Classical Transition
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TL;DR: In this article, preliminary concepts of conductance from transmission, S-matrix and Green's function formalism are discussed. And double-barrier tunnelling is considered.
Electronic Transport in Mesoscopic Systems
TL;DR: In this article, preliminary concepts of conductance from transmission, S-matrix and Green's function formalism are discussed. And double-barrier tunnelling is considered.
Journal ArticleDOI
Dynamics of the dissipative two-state system
Anthony J. Leggett,Sudip Chakravarty,Alan T. Dorsey,Matthew P. A. Fisher,Anupam Garg,Wilhelm Zwerger +5 more
TL;DR: In this article, a functional-integral approach to the dynamics of a two-state system coupled to a dissipative environment is presented, and an exact and general prescription for the reduction, under appropriate circumstances, of the problem of a system tunneling between two wells in the presence of dissipative environments to the spin-boson problem is given.