Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double-well ultracold-fermions computational microscopy: Wave-function
  anatomy of attractive-pairing and Wigner-molecule entanglement and natural
  orbitals   "Bottom-up" approaches to the many-body physics of fermions have demonstrated
recently precise number and site-resolved preparations with tunability of
interparticle interactions in single-well, SW, and double-well, DW, nano-scale
confinements created by manipulating ultracold fermionic atoms with optical
tweezers. These experiments emulate an analogue-simulator mapping onto the
requisite microscopic hamiltonian, approaching realization of Feynman's vision
of quantum simulators that "will do exactly the same as nature". Here we report
on exact benchmark configuration-interaction computational microscopy solutions
of the hamiltonian, uncovering the spectral evolution, wave-function anatomy,
and entanglement properties of the interacting fermions in the entire parameter
range, including crossover from a SW to a DW confinement and a controllable
energy imbalance between the wells. We demonstrate attractive pairing and
formation of repulsive, highly-correlated, ultracold Wigner molecules,
well-described in the natural orbital representation. The agreement with the
measurements affirms the henceforth gained deep insights into ultracold
molecules and opens access to the size-dependent evolution of nano-clustered
and condensed-matter phases and ultracold-atoms quantum information.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph