Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramp and periodic dynamics across non-Ising critical points   We study ramp and periodic dynamics of ultracold bosons in an one-dimensional
(1D) optical lattice which supports quantum critical points separating a
uniform and a $Z_3$ or $Z_4$ symmetry broken density-wave ground state. Our
protocol involves both linear and periodic drives which takes the system from
the uniform state to the quantum critical point (for linear drive protocol) or
to the ordered state and back (for periodic drive protocols) via controlled
variation of a parameter of the system Hamiltonian. We provide exact numerical
computation, for finite-size boson chains with $L \le 24$ using
exact-diagonalization (ED), of the excitation density $D$, the wavefunction
overlap $F$, and the excess energy $Q$ at the end of the drive protocol. For
the linear ramp protocol, we identify the range of ramp speeds for which $D$
and $Q$ shows Kibble-Zurek scaling. We find, based on numerical analysis with
$L \le 24$, that such scaling is consistent with that expected from critical
exponents of the $q$-state Potts universality class with $q=3,4$. For periodic
protocol, we show that the model display near-perfect dynamical freezing at
specific frequencies; at these frequencies $D, Q \to 0$ and $|F| \to 1$. We
provide a semi-analytic explanation of such freezing behavior and relate this
phenomenon to a many-body version of Stuckelberg interference. We suggest
experiments which can test our theory.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess