Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tunneling maps of interacting electrons in real time: anomalous
  tunneling in quantum point-contacts beyond the steady state regime   Strongly correlated transport of interacting electrons through the
one-dimensional tunnel contact is considered within the Luttinger liquid model
of one-dimensional electrodes on arbitrary time scales $ t> \hbar /\Lambda_{g}
$. Using previous results, namely, the Self-equilibration theorem proven in
Ref.[G.Skorobagatko, Ann.Phys., 422, 168298 (2020)] the exact distribution
functions $ P(N,t) $ for the probabilities of $ N $ electrons to tunnel through
the contact during the fixed time interval $ t $ are derived and plotted as 3D
intensity graphs called real-time tunneling maps in a whole available region of
Luttinger liquid correlation parameter values, bias voltages, and temperatures.
The tunneling maps being obtained reveal tunneling anomalies -unusually high
tunneling probabilities for the small numbers of electrons on the short-time
scales beyond the steady state regime of electron tunnel transport. Especially,
this concerns the case of strong short-range electron-electron interaction in
the leads at $ g \lesssim 1/2 $. The effect being found can be treated as the
direct consequence of the self-equilibration phenomenon. It is shown that
features of such an anomalous electron tunneling beoynd the steady state regime
can be used for precise experimental measurements of small differences between
Luttinger liquid correlation parameter values in different one-dimensional
quantum-point contacts.

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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: physics