Dynamical preparation of quantum spin liquids in Rydberg atom arrays

Abstract

We theoretically analyze recent experiments [G. 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 quasi-adiabatic 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 (RVB) 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 (TN) states that accurately describe the many-body dynamics of the preparation process. Using this approach we analyze the nature of the non-equilibrium state, establishing the emergence of topological order.

5+4 pages, 4+5 figures

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum phases of Rydberg atoms on a kagome lattice
• Transfer Matrices and Excitations with Matrix Product States

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• Enhancing Detection of Topological Order by Local Error Correction
• Variational Approach to Quantum Spin Liquid in a Rydberg Atom Simulator
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
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• Real-time dynamics of a critical Resonating Valence Bond spin liquid
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