Tunable quantum criticality in multicomponent 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. Theoretically predicted chiral transition out of period-four
phase is still pending experimental verification mainly due to extremely short
interval over which this transition is realized in a single-component Rydberg
array. In this letter we show that multi-component Rydberg arrays with extra
experimentally tunable parameters provide a mechanism to manipulate quantum
critical properties without breaking translation symmetry explicitly.
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. But laser detuning applied
to both components simultaneously stabilizes the period-4 phase partly bounded
by the chiral transition. We show that relative ratio of the Rabi frequencies
of the two components tunes the properties of the conformal Ashkin-Teller point
and allows to manipulate an extent of the chiral transition. The prospects of
multi-component Rydberg arrays in the context of critical fusion is briefly
discussed.

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