Tunable quantum criticality in multi-component Rydberg arrays

Kavli Affiliate: Natalia Chepiga

| First 5 Authors: Natalia Chepiga, , , ,

| Summary:

Arrays of Rydberg atoms have appeared as a remarkably rich playground to
study quantum phase transitions in one dimension. One of the biggest puzzles
that was brought forward in this context are chiral phase transitions out of
density waves. In this letter show that multi-component Rydberg arrays with
extra experimentally tunable parameters provide a mechanism to manipulate
quantum critical properties of the conformal Ashkin-Teller point that in turn
controls an extent of the chiral transition. We consider an effective blockade
model of two component Rydberg atoms. Weak and strong components obey nearest-
and next-nearest-neighbor blockades correspondingly. When laser detuning is
applied to either of the two components the system is in the period-3 and
period-2 phases. However, laser detuning applied to both components
simultaneously stabilizes the period-4 phase partly bounded by the chiral
transition. We show that an extent of the chiral transition and even its
appearance can be controlled by the relative ratio of the Rabi frequencies of
the two components.

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