Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generation of motional nonlinear coherent states and their
  superpositions via intensity-dependent coupling of a cavity field to a
  micromechanical membrane   We propose a theoretical scheme to show the possibility of generating
motional nonlinear coherent states and their superposition for an undamped
vibrating micromechanical membrane inside an optical cavity. The scheme is
based on an intensity-dependent coupling of the membrane to the radiation
pressure field. We show that if the cavity field is initially prepared in a
Fock state, the motional state of the membrane may evolve from vacuum state to
a special type of nonlinear coherent states. By examining the nonclassical
properties of the generated state of the membrane, including the quadrature
squeezing and the sub-Poissonian statistics, we find that by varying the
Lamb-Dicke parameter and the membrane's reflectivity one can effectively
control those properties. In addition, the scheme offers the possibility of
generating various types of the so-called nonlinear multicomponent Schrodinger
cat sates of the membrane. We also examine the effect of the damping of the
cavity field on the motional state of the membrane.

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The categories of this paper are: cond-mat
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: physics
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg