Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable quenches in nested spin chains I: the exact steady states   We consider quantum quenches in the integrable $SU(3)$-invariant spin chain
(Lai-Sutherland model) which admits a Bethe ansatz description in terms of two
different quasiparticle species, providing a prototypical example of a model
solvable by nested Bethe ansatz. We identify infinite families of integrable
initial states for which analytic results can be obtained. We show that they
include special families of two-site product states which can be related to
integrable ``soliton non-preserving'' boundary conditions in an appropriate
rotated channel. We present a complete analytical result for the quasiparticle
rapidity distribution functions corresponding to the stationary state reached
at large times after the quench from the integrable initial states. Our results
are obtained within a Quantum Transfer Matrix (QTM) approach, which does not
rely on the knowledge of the quasilocal conservation laws or of the overlaps
between the initial states and the eigenstates of the Hamiltonian. Furthermore,
based on an analogy with previous works, we conjecture analytic expressions for
such overlaps: this allows us to employ the Quench Action method to derive a
set of integral equations characterizing the quasi-particle distribution
functions of the post-quench steady state. We verify that the solution to the
latter coincides with our analytic result found using the QTM approach.
Finally, we present a direct physical application of our results by providing
predictions for the propagation of entanglement after the quench from such
integrable states.

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The categories of this paper are: cs
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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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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: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org