We theoretically analyze recent experiments [Semeghini et al., Science 374, 1242 (2021)] demonstrating the onset of a topological spin liquid using a programmable quantum simulator based on Rydberg atom arrays. In the experiment, robust signatures of topological order emerge in out-of-equilibrium states that are prepared using a quasiadiabatic state preparation protocol. We show theoretically that the state preparation protocol can be optimized to target the fixed point of the topological phase-the resonating valence bond state of hard dimers-in a time that scales linearly with the number of atoms. Moreover, we provide a two-parameter variational manifold of tensor network states that accurately describe the many-body dynamics of the preparation process. Using this approach we analyze the nature of the nonequilibrium state, establishing the emergence of topological order.

Dynamical Preparation of Quantum Spin Liquids in Rydberg Atom Arrays / Giudici, Giuliano; Lukin, Mikhail D.; Pichler, Hannes. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 129:9(2022), pp. 1-5. [10.1103/physrevlett.129.090401]

Dynamical Preparation of Quantum Spin Liquids in Rydberg Atom Arrays

Giudici, Giuliano;Pichler, Hannes
2022-01-01

Abstract

We theoretically analyze recent experiments [Semeghini et al., Science 374, 1242 (2021)] demonstrating the onset of a topological spin liquid using a programmable quantum simulator based on Rydberg atom arrays. In the experiment, robust signatures of topological order emerge in out-of-equilibrium states that are prepared using a quasiadiabatic state preparation protocol. We show theoretically that the state preparation protocol can be optimized to target the fixed point of the topological phase-the resonating valence bond state of hard dimers-in a time that scales linearly with the number of atoms. Moreover, we provide a two-parameter variational manifold of tensor network states that accurately describe the many-body dynamics of the preparation process. Using this approach we analyze the nature of the nonequilibrium state, establishing the emergence of topological order.
2022
129
9
1
5
090401
https://arxiv.org/abs/2201.04034
Giudici, Giuliano; Lukin, Mikhail D.; Pichler, Hannes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142185
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