Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quench action and large deviations: work statistics in the
  one-dimensional Bose gas   We study the statistics of large deviations of the intensive work done in an
interaction quench of a one-dimensional Bose gas with a large number N of
particles, system size L and fixed density. We consider the case in which the
system is initially prepared in the non-interacting ground state and a
repulsive interaction is suddenly turned on. For large deviations of the work
below its mean value, we show that the large deviation principle holds by means
of the quench action approach. Using the latter, we compute exactly the
so-called rate function, and study its properties analytically. In particular,
we find that fluctuations close to the mean value of the work exhibit a marked
non- Gaussian behavior, even though their probability is always exponentially
suppressed below it as L increases. Deviations larger than the mean value,
instead, exhibit an algebraic decay, whose exponent can not be determined
directly by large-deviation theory. Exploiting the exact Bethe ansatz
representation of the eigenstates of the Hamiltonian, we calculate this
exponent for vanishing particle density. Our approach can be straightforwardly
generalized to quantum quenches in other interacting integrable systems.

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The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess