Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trap-induced resonances in controlled collisions of cesium atoms   We consider the feasibility of observing a trap-induced resonance [Stock et
al., Phys. Rev. Lett. 91, 183201 (2003)] for the case of two 133Cs atoms,
trapped in separated wells of a polarization-gradient optical lattice, and
interacting through a multichannel scattering process. Due to the anomalously
large scattering length of cesium dimers, a strong coupling can occur between
vibrational states of the trap and a weakly bound molecular state that is made
resonant by the ac-Stark shift of the lattice. We calculate the energy spectrum
of the two-atom system as a function of the distance between two potential
wells by connecting the solutions of the Schroedinger equation for the
short-range molecular potential to that of the long-range trap in a
self-consistent manner. The short-range potential is treated through a
multichannel pseudopotential, parametrized by the K matrix, calculated
numerically for atoms in free space in a close-coupling approximation. This
captures both the bound molecular spectrum as well as the energy-dependent
scattering for all partial waves. We establish realistic operating conditions
under which the trap-induced resonance could be observed and show that this
strong and coherent interaction could be used as a basis for high-fidelity
two-qubit quantum logic operations.

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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math