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Researchers Find New ‘Archipelago Phase in Hyperbolic Matter
Can complex matter exhibit entirely new phases when confined to curved space? Measurements now reveal an “archipelago” phase within gauge-Higgs models on hyperbolic lattices, one demonstrably absent in flat Euclidean systems. Transitions into or out of this exotic phase fall predictably within established physical categories, defined by a critical exponent δ belonging to the mean-field universality class.
The entanglement phases of gauge-Higgs models on hyperbolic lattices are studied using measurement-only dynamics. The research centres around understanding how non-equilibrium measurements impact these structures. Entanglement transitions between non-equilibrium phases, including topological phases, occur through competition of non-commutating measurements. We chart two-dimensional phase diagrams employing topological entanglement entropy and introducing a generalised measurement-induced entanglement tailored for hyperbolic Higgs phases. Using duality,…
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