Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvable model of a generic driven mixture of trapped Bose-Einstein
  condensates and properties of a many-boson Floquet state at the limit of an
  infinite number of particles   A solvable model of a periodically-driven trapped mixture of Bose-Einstein
condensates, consisting of $N_1$ interacting bosons of mass $m_1$ driven by a
force of amplitude $f_{L,1}$ and $N_2$ interacting bosons of mass $m_2$ driven
by a force of amplitude $f_{L,2}$, is presented. The model generalizes the
harmonic-interaction model for mixtures to the time-dependent domain. The
resulting many-particle ground Floquet wavefunction and quasienergy, as well as
the time-dependent densities and reduced density matrices, are prescribed
explicitly and analyzed at the many-body and mean-field levels of theory for
finite systems and at the limit of an infinite number of particles. We prove
that the time-dependent densities per particle are given at the limit of an
infinite number of particles by their respective mean-field quantities, and
that the time-dependent reduced one-particle and two-particle density matrices
per particle of the driven mixture are $100\%$ condensed. Interestingly, the
quasienergy per particle {\it does not} coincide with the mean-field value at
this limit, unless the relative center-of-mass coordinate of the two
Bose-Einstein condensates is not activated by the driving forces $f_{L,1}$ and
$f_{L,2}$. As an application, we investigate the imprinting of angular momentum
and its fluctuations when steering a Bose-Einstein condensate by an interacting
bosonic impurity, and the resulting modes of rotations. Whereas the expectation
values per particle of the angular-momentum operator for the many-body and
mean-field solutions coincide at the limit of an infinite number of particles,
the respective fluctuations can differ substantially. The results are analyzed
in terms of the transformation properties of the angular-momentum operator
under translations and boosts and the interactions between the particles.
Implications are briefly discussed.

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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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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: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org