Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light-cone effect and supersonic correlations in one- and
  two-dimensional bosonic superfluids   We study the spreading of density-density correlations in Bose-Hubbard models
after a quench of the interaction strength, using time-dependent variational
Monte Carlo simulations. It gives access to unprecedented long propagation
times and to dimensions higher than one. In both one and two dimensions, we
find ballistic light-cone spreading of correlations and extract accurate values
of the light-cone velocity in the superfluid regime. We show that the spreading
of correlations is generally supersonic, with a light-cone propagating faster
than sound modes but slower than the maximum group velocity of density
excitations, except at the Mott transition, where all the characteristic
velocities are equal. Further, we show that in two dimensions the correlation
spreading is highly anisotropic and presents nontrivial interference effects.

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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: eess