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Dirac spin liquid in quantum dipole arrays
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abstract
We predict that the gapless $U(1)$ Dirac spin liquid naturally emerges in a two-dimensional array of quantum dipoles. In particular, we demonstrate that the dipolar XY model$\unicode{x2014}$realized in both Rydberg atom arrays and ultracold polar molecules$\unicode{x2014}$hosts a quantum spin liquid ground state on the kagome lattice. Large-scale density matrix renormalization group calculations indicate that this spin liquid exhibits signatures of gapless, linearly-dispersing spinons, consistent with the $U(1)$ Dirac spin liquid. We identify a route to adiabatic preparation via staggered on-site fields and demonstrate that this approach can prepare cold spin liquids within experimentally realistic time-scales. Finally, we propose a number of novel signatures of the Dirac spin liquid tailored to near-term quantum simulators, including termination-dependent edge modes and the Friedel response to a local perturbation.
Forward citations
Cited by 4 Pith papers
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Dirac Spin Liquid Candidate in a Rydberg Quantum Simulator
Experimental preparation of a Dirac spin liquid candidate in a 114-atom Rydberg kagome array shows correlations consistent with a gapless U(1) state.
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Long-range dipolar XY antiferromagnets on a breathed Kagome lattice host a robust chiral spin liquid, with DMRG phase diagrams and AMO-ready preparation and edge probes.
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Many-Body Physics with Rydberg Atoms: Quantum Simulation and Non-equilibrium Dynamics
Rydberg atoms form a versatile platform for quantum simulation of Ising/XY models, topological phases, and nonequilibrium effects like bistability, time crystals, and self-organized criticality.
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