# Trimer quantum spin liquid in a honeycomb array of Rydberg atoms

###### user

what is the point of this paper?

**AI:**The point of this paper is to describe a novel class of spin liquids in a honeycomb array of Rydberg atoms and to explore their quantum phase diagram. The authors also demonstrate that this proposal can be readily implemented in current Rydberg atom quantum simulators.

###### user

what is trimer spin liquid in this paper?

**AI:**The trimer spin liquid in this paper is a novel ground state formed from superpositions of classical trimer configurations on the dual triangular lattice, with an emergent $\mathrm{U}(1)\times \mathrm{U}(1)$ local symmetry. It is found in the regime where third-nearest-neighbor atoms lie within the Rydberg blockade radius, and the fidelity of this trimer spin liquid state can be enhanced via dynamical preparation.

###### user

is this paper good written?

**AI:**As an AI language model, I do not have personal or subjective opinions. However, the text is well-written and contains technical language related to quantum physics. It is up to the reader to determine if the writing is good or not for their purposes.

###### user

what is the applications of this paper?

**AI:**The paper discusses the realization and exploration of a novel type of spin liquid in a honeycomb array of Rydberg atoms, and the paper's applications are not explicitly stated. However, the study of these elusive quantum states and their properties may have potential implications and uses in fields such as quantum computing and materials science.

## Authors

Milan Kornjača, Rhine Samajdar, Tommaso Macrì, Nathan Gemelke, Sheng-Tao Wang, Fangli Liu

## Abstract

Quantum spin liquids are elusive but paradigmatic examples of strongly correlated quantum states that are characterized by long-range quantum entanglement. Recently, the direct signatures of a gapped topological $\mathbb{Z}_2$ spin liquid have been observed in a system of Rydberg atoms arrayed on the ruby lattice. Here, we illustrate the concrete realization of a fundamentally different class of spin liquids in a honeycomb array of Rydberg atoms. Exploring the quantum phase diagram of this system using both density-matrix renormalization group and exact diagonalization simulations, several density-wave-ordered phases are characterized and their origins explained. More interestingly, in the regime where third-nearest-neighbor atoms lie within the Rydberg blockade radius, we find a novel ground state -- with an emergent $\mathrm{U}(1)\times \mathrm{U}(1)$ local symmetry -- formed from superpositions of classical {\it trimer} configurations on the dual triangular lattice. The fidelity of this trimer spin liquid state can be enhanced via dynamical preparation, which we explain by a Rydberg-blockade-based projection mechanism associated with the smooth turnoff of the laser drive. Finally, we discuss the robustness of the trimer spin liquid phase under realistic experimental parameters and demonstrate that our proposal can be readily implemented in current Rydberg atom quantum simulators.

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