Mean Field Spin Glass in the Observable Representation

Abstract

The state space for the $N$-spin mean field (SK) spin glass--nominally an $N$-cube--is embedded in a low dimensional continuous space in such a way that metastable and stable phases can easily be discerned, a concept of nearness of configurations defined, and peaks in the Parisi $q$-parameter overlap distribution identified. The dynamical and partly hierarchical interrelation of these phases can be directly imaged.

To appear in Phys. Rev. Lett

References in corpus (8)

• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• On the Stability of the Quenched State in Mean Field Spin Glass Models
• Multiple phases in stochastic dynamics: geometry and probabilities
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• Imaging geometry through dynamics: the observable representation
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