2020/03/31 by Claudia Artiaco, Federico Balducci, Giorgio Parisi +1
Computer Science · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Critical exponent #Euclidean geometry #Geometry #Jamming #Mathematics #Phase transition #Physics #Quantum #Quantum dynamics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.103.l040203
published as Phys. Rev. A 103, 040203 (2021)
arxiv created 2020/12/01 · openalex publication_date 2021/04/30 · arxiv updated 2021/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this Letter, we analyze the quantum dynamics of the perceptron model: a particle is constrained on an N-dimensional sphere, with N\ensuremath→\ensuremath∞, and subjected to a set of randomly placed hard-wall potentials. This model has several applications, ranging from learning protocols to the effective description of the dynamics of an ensemble of infinite-dimensional hard spheres in Euclidean space. We find that the jamming transition with quantum dynamics shows critical exponents different from the classical case. We also find that the quantum jamming transition, unlike the typical quantum critical points, is not confined to the zero-temperature axis, and the classical results are recovered only at T=\ensuremath∞. Our findings have implications for the theory of glasses at ultralow temperatures and for the study of quantum machine-learning algorithms.