Evidence for a Second Order Phase Transition in Glasses at Very Low Temperatures -- A Macroscopic Quantum State of Tunneling Systems
P. Strehlow, C. Enss, S. Hunklinger

TL;DR
This study provides evidence of a second order phase transition in glasses at very low temperatures, suggesting the emergence of a macroscopic quantum state involving coherent tunneling systems.
Contribution
It reports the first experimental observation of a phase transition in glasses at millikelvin temperatures, indicating a collective quantum phenomenon.
Findings
Phase transition at 5.84 mK in BaO-Al2O3-SiO2 glass.
Magnetic field sensitivity of dielectric constant below transition.
Indications of a macroscopic quantum state of tunneling systems.
Abstract
Dielectric measurements at very low temperature indicate that in a glass with the eutectic composition BaO-AlO-SiO a phase transition occurs at 5.84 mK. Below that temperature small magnetic fields of the order of 10 T cause noticeable changes of the dielectric constant although the glass is insensitive to fields up to 20 T above 10 mK. The experimental findings may be interpreted as the signature of the formation of a new phase in which many tunneling systems perform a coherent motion resulting in a macroscopic wave function.
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