Kavli Affiliate: Natalia Chepiga
| First 5 Authors: Jose Soto-Garcia, Jose Soto-Garcia, , ,
| Summary:
Chains of Rydberg atoms have emerged as a powerful platform for exploring
low-dimensional quantum physics. This success originates from the precise
control of lattice geometries provided by optical tweezers, which allows access
to a wide range of synthetic quantum phases. Experiments on one-dimensional
arrays have stimulated tremendous progress in understanding quantum phase
transitions into crystalline phases. However, the finite width of tweezers
introduces small variations in interatomic distances, leading to quenched
disorder in the interactions. In this letter, we numerically study how such
disorder alters the nature of two critical regimes observed in experiments.
Firstly, following experimental protocols, we analyze Kibble-Zurek dynamics and
find a crossover from the clean Ising transition to the infinite-randomness
fixed point as system size and disorder strength increase. Secondly, we show
that the floating phase (an incommensurate Luttinger liquid phase emerging at
stronger interactions) is localized by the disorder, yet preserves short-range
incommensurate correlations with the same leading wave vector. Our results
clearly reveal an additional technical challenge in the scalability of
Rydberg-based quantum simulators.
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