Phase diagram of Rydberg-dressed atoms on two-leg square ladders:
Coupling supersymmetric conformal field theories on the lattice
- URL: http://arxiv.org/abs/2112.10421v2
- Date: Thu, 30 Jun 2022 08:52:05 GMT
- Title: Phase diagram of Rydberg-dressed atoms on two-leg square ladders:
Coupling supersymmetric conformal field theories on the lattice
- Authors: Mikheil Tsitsishvili, Titas Chanda, Matteo Votto, Pierre Fromholz,
Marcello Dalmonte, Alexander Nersesyan
- Abstract summary: We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials.
We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
- Score: 52.77024349608834
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the phase diagram of hard-core bosons in two-leg ladders in
the presence of soft-shoulder potentials. We show how the competition between
local and non-local terms gives rise to a phase diagram with liquid phases with
dominant cluster, spin-, and density-wave quasi-long-range ordering. These
phases are separated by Berezinskii-Kosterlitz-Thouless, Gaussian, and
supersymmetric (SUSY) quantum critical transitions. For the latter, we provide
a phenomenological description of coupled SUSY conformal field theories, whose
predictions are confirmed by matrix-product state simulations. Our results are
motivated by, and directly relevant to, recent experiments with Rydberg-dressed
atoms in optical lattices, where ladder dynamics has already been demonstrated,
and emphasize the capabilities of these setups to investigate exotic quantum
phenomena such as cluster liquids and coupled SUSY conformal field theories.
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