Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders
- URL: http://arxiv.org/abs/2207.00385v2
- Date: Thu, 7 Jul 2022 13:22:32 GMT
- Title: Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders
- Authors: Pierre Fromholz, Mikheil Tsitsishvili, Matteo Votto, Marcello
Dalmonte, Alexander Nersesyan, and Titas Chanda
- Abstract summary: We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg.
For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase.
The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
- Score: 50.591267188664666
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dressed Rydberg atoms in optical lattices are a promising platform for the
quantum simulation of intriguing phenomena emerging in strongly interacting
systems. Relevant to such a setup, we investigate the phase diagram of
hard-core bosons in a triangular ladder with next-to-nearest-neighbor
interaction along each leg and nearest-neighbors interactions without hopping
between the legs. For weak interactions, Abelian bosonization predicts a spin
density wave and a fully gapless Luttinger liquid phase. Such liquids
transition to a 'spin-locked' cluster Luttinger liquid at strong interactions
along each leg, as predicted by cluster bosonization. Interestingly, the
competition with the zigzag interaction generates a charge density wave, a
'polarized holonic' phase, and a crystalline phase at the filling 2/5, that we
address via semi-classical perturbative approach. Exact diagonalization and
density matrix renormalization group simulations confirm the predictions and
further characterize the phases and their transitions.
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