Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster Luttinger liquids and emergent supersymmetric conformal critical
  points in the one-dimensional soft-shoulder Hubbard model   We investigate the quantum phases of hard-core bosonic atoms in an extended
Hubbard model where particles interact via soft-shoulder potentials in one
dimension. Using a combination of field-theoretical methods and strong-coupling
perturbation theory, we demonstrate that the low-energy phase can be a
conformal cluster Luttinger liquid (CLL) phase with central charge $c=1$, where
the microscopic degrees of freedom correspond to mesoscopic ensembles of
particles. Using numerical density-matrix-renormalization-group methods, we
demonstrate that the CLL phase, first predicted in [Phys. Rev. Lett. 111,
165302 (2013)], is separated from a conventional Tomonaga-Luttinger liquid by
an exotic critical point with central charge $c=3/2$. The latter is expression
of an emergent conformal supersymmetry, which is not present in the original
Hamiltonian. We discuss the observability of the CLL phase in realistic
experimental settings with weakly-dressed Rydberg atoms confined to optical
lattices. Using quantum Monte-Carlo simulations, we show that the typical
features of CLLs are stable up to comparatively high temperatures. Using exact
diagonalizations and quantum trajectory methods, we provide a protocol for
adiabatic state preparation as well as quantitative estimates on the effects of
particle losses.

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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat