Quantum Reports, Volume 8, Issue 3
2026 September - 42 articles
Cover Story: Hydrogen-loaded metals may support collective quantum states in which interstitial protons oscillate coherently within the crystal lattice. In the model explored in this work, the proton motion is phase-locked to a strong high-frequency electromagnetic field trapped in the material, leading to a coherent state with an energy gap large enough to remain robust against thermal fluctuations. Analytical many-body calculations and numerical simulations for small systems provide complementary evidence for this collective regime and motivate the further study of its excited states and possible applications. View this paper
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