Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous quenches in a fermionic chain: exact results   We consider the non-equilibrium physics induced by joining together two tight
binding fermionic chains to form a single chain. Before being joined, each
chain is in a many-fermion ground state. The fillings (densities) in the two
chains might be the same or different. We present a number of exact results for
the correlation functions in the non-interacting case. We present a short-time
expansion, which can sometimes be fully resummed, and which reproduces the
so-called `light cone' effect or wavefront behavior of the correlators. For
large times, we show how all interesting physical regimes may be obtained by
stationary phase approximation techniques. In particular, we derive
semiclassical formulas in the case when both time and positions are large, and
show that these are exact in the thermodynamic limit. We present subleading
corrections to the large-time behavior, including the corrections near the
edges of the wavefront. We also provide results for the return probability or
Loschmidt echo. In the maximally inhomogeneous limit, we prove that it is
exactly gaussian at all times. The effects of interactions on the Loschmidt
echo are also discussed.

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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: supr-con