Metastability associated with many-body explosion of eigenmode expansion coefficients

Abstract

Metastable states in stochastic systems are often characterized by the presence of small eigenvalues in the generator of the stochastic dynamics. We here show that metastability in many-body systems is not necessarily associated with small eigenvalues. Instead, many-body explosion of eigenmode expansion coefficients characterizes slow relaxation, which is demonstrated for two models, interacting particles in a double-well potential and the Fredrickson-Andersen model, the latter of which is a prototypical example of kinetically constrained models studied in glass and jamming transitions. Our results provide new insights into slow relaxation and metastability in many-body stochastic systems.

7 pages

References in corpus (3)

• Theoretical perspective on the glass transition and amorphous materials
• Glassy dynamics of kinetically constrained models
• Metastability in an open quantum Ising model

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• Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
• Quantum associative memory with a single driven-dissipative nonlinear oscillator
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Purity decay rate in random circuits with different configurations of gates
• Two-step relaxation in local many-body Floquet systems