The quantum Biroli-Mézard model: glass transition and superfluidity in a quantum lattice glass model

Abstract

We study the quantum version of a lattice model whose classical counterpart captures the physics of structural glasses. We discuss the role of quantum fluctuations in such systems and in particular their interplay with the amorphous order developed in the glass phase. We show that quantum fluctuations might facilitate the formation of the glass at low enough temperature. We also show that the glass transition becomes a first-order transition between a superfluid and an insulating glass at very low temperature, and is therefore accompanied by phase coexistence between superfluid and glassy regions.

33 pages, 10 figures

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• Microscopic theory of the jamming transition of harmonic spheres
• Facilitated spin models of dissipative quantum glasses
• Theory and simulations of quantum glass forming liquids
• Mean field theory of superglasses
• Leggett's bound for amorphous solids
• Collective relaxation dynamics in a three-dimensional lattice glass model
• Lattice glass model in three spatial dimensions
• A tentative replica theory of glassy Helium 4
• The effect of quantum fluctuations on the coloring of random graphs
• Quantum fluctuations can enhance or reduce positional uncertainty at finite temperature