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Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains.

ABSTRACT: Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of density waves through the Kibble-Zurek mechanism, and the possible presence of a chiral transition with dynamical exponent z?>?1. Here, we address this problem theoretically with effective blockade models where the short-distance repulsions are replaced by a constraint of no double occupancy. For the period-4 phase, we show that there is an Ashkin-Teller transition point with exponent ??=?0.78 surrounded by a direct chiral transition with a dynamical exponent z?=?1.11 and a Kibble-Zurek exponent ??=?0.41. For Rydberg atoms with a van der Waals potential, we suggest that the experimental value ??=?0.25 is due to a chiral transition with z???1.9 and ????0.47 surrounding an Ashkin-Teller transition close to the 4-state Potts universality.

SUBMITTER: Chepiga N

PROVIDER: S-EPMC7814058 | biostudies-literature | 2021 Jan

REPOSITORIES: biostudies-literature

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Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains.

Chepiga Natalia N Mila Frédéric F

Nature communications 20210118 1

Chains of Rydberg atoms have emerged as an amazing playground to study quantum physics in 1D. Playing with inter-atomic distances and laser detuning, one can in particular explore the commensurate-incommensurate transition out of density waves through the Kibble-Zurek mechanism, and the possible presence of a chiral transition with dynamical exponent z > 1. Here, we address this problem theoretically with effective blockade models where the short-distance repulsions are replaced by a constraint ...[more]

PMID: 33462209

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