Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on "Kinetic theory for a mobile impurity in a degenerate
  Tonks-Girardeau gas"   In a recent paper, arxiv:1402.6362, Gamayun, Lychkovskiy, and Cheianov
studied the dynamics of a mobile impurity embedded into a one-dimensional
Tonks-Girardeau gas of strongly interacting bosons. Employing the Boltzmann
equation approach, they arrived at the following main conclusions: (i) a light
impurity, being accelerated by a constant force does not exhibit Bloch
oscillations; (ii) a heavy impurity does undergo Bloch oscillations,
accompanied by a drift with the velocity proportional to the square root of
force. In this comment we argue that the result (i) is an artifact of the
classical Boltzmann approximation, which misses the formation of the (quasi)
bound-state between the impurity and a hole. Result (ii), while not valid at
asymptotically small force, indeed reflects an interesting intermediate-force
behavior. Here we clarify its limits of applicability and extend beyond the
Tonks-Girardeau limit.

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The categories of this paper are: q-alg
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The categories of this paper are: eess
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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: cs
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga