Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators

Abstract

The Landau-Ginzburg-Wilson theory of phase transitions precludes a continuous transition between two phases that spontaneously break distinct symmetries. However, quantum mechanical effects can intertwine the symmetries, giving rise to an exotic phenomenon called deconfined quantum criticality (DQC). In this work, we study the ground state phase diagram of a one-dimensional array of individually trapped neutral atoms interacting strongly via Rydberg states, and demonstrate through extensive numerical simulations that it hosts a variety of symmetry-breaking phases and their transitions including DQC. We show how an enlarged, emergent continuous symmetry arises at the DQCs, which can be experimentally observed in the joint distribution of two distinct order parameters, obtained within measurement snapshots in the standard computational basis. Our findings highlight quantum simulators of Rydberg atoms not only as promising platforms to experimentally realize such exotic phenomena, but also as unique ones allowing access to physical properties not obtainable in traditional experiments.

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• Quantum Phases from Competing Van der Waals and Dipole-Dipole Interactions of Rydberg Atoms
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Deconfined Quantum Critical Point: A Review of Progress
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Digital-analog quantum learning on Rydberg atom arrays
• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain
• Unconventional Scalings of Quantum Entropies in Long-Range Heisenberg Chains
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Fractonic criticality in Rydberg atom arrays
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Spin-Peierls instability of deconfined quantum critical points
• Geometric phase and multipartite entanglement of Rydberg atom chains
• Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
• Deconfined quantum criticality on a triangular Rydberg array