Non-equilibrium glassy arrest and discontinuous transitions at avoided quantum critical points

J J Pulikkotil

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arXiv · 2606.00580

Non-equilibrium glassy arrest and discontinuous transitions at avoided quantum critical points

J J Pulikkotil

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Abstract

The non-equilibrium dynamics of an order parameter confined by an external constraint field are investigated within a spatially extended Belitz-Kirkpatrick-Vojta framework. A generic non-monotonic dissipation peak arises at avoided criticality due to the interplay between macroscopic free-energy flattening and microscopic disorder-induced trapping. Near this regime, suppressed deterministic forces enhance activated trapping, leading to an effective violation of the fluctuation-dissipation theorem and ultimate glassy arrest. At higher fields, the system undergoes a discontinuous phase transition that bypasses this flat free-energy region. These explicit analytical scalings establish a generic mechanism for non-equilibrium arrest in disordered condensed matter systems.

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J J Pulikkotil. 2026-05-30. Non-equilibrium glassy arrest and discontinuous transitions at avoided quantum critical points. https://arxiv.org/abs/2606.00580

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