Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonequilibrium theory for transient transport dynamics in
  nanostructures via the Feynman-Vernon influence functional approach   In this paper, we develop a nonequilibrium theory for transient electron
transport dynamics in nanostructures based on the Feynman-Vernon influence
functional approach. We extend our previous work on the exact master equation
describing the non-Markovian electron dynamics in the double dot [Phys. Rev.
B78, 235311 (2008)] to the nanostructures in which the energy levels of the
central region, the couplings to the leads and the external biases applied to
leads are all time-dependent. We then derive nonperturbatively the exact
transient current in terms of the reduced density matrix within the same
framework. This provides an exact non-linear response theory for quantum
transport processes with back-reaction effect from the contacts, including the
non-Markovian quantum relaxation and dephasing, being fully taken into account.
The nonequilibrium steady-state transport theory based on the Schwinger-Keldysh
nonequilibrium Green function technique can be recovered as a long time limit.
For a simple application, we present the analytical and numerical results of
transient dynamics for the resonance tunneling nanoscale device with a
Lorentzian-type spectral density and ac bias voltages, where the non-Markovian
memory structure and non-linear response to the bias voltages in transport
processes are demonstrated.

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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex