Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Criticality in a Bosonic Josephson Junction   In this paper we consider a bosonic Josephson junction described by a
two-mode Bose-Hubbard model, and we thoroughly analyze a quantum phase
transition occurring in the system in the limit of infinite bosonic population.
We discuss the relation between this quantum phase transition and the dynamical
bifurcation occurring in the spectrum of the Discrete Self Trapping equations
describing the system at the semiclassical level. In particular, we identify
five regimes depending on the strength of the effective interaction among
bosons, and study the finite-size effects arising from the finiteness of the
bosonic population. We devote a special attention to the critical regime which
reduces to the dynamical bifurcation point in the thermodynamic limit of
infinite bosonic population. Specifically, we highlight an anomalous scaling in
the population imbalance between the two wells of the trapping potential, as
well as in two quantities borrowed from Quantum Information Theory, i.e. the
entropy of entanglement and the ground-state fidelity. Our analysis is not
limited to the zero temperature case, but considers thermal effects as well.

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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: ao-sci