Metastability associated with many-body explosion of eigenmode expansion coefficients
arXiv:2102.05796 · doi:10.1103/PhysRevResearch.3.043137
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.
arXiv comment7 pages
References in corpus (12)
- Theoretical perspective on the glass transition and amorphous materials
- Glassy dynamics of kinetically constrained models
- Towards a theory of metastability in open quantum dynamics
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Metastable states in glassy systems
- Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
- Order in glassy systems
- Metastability in an open quantum Ising model
- Fastest local entanglement scrambler, multistage thermalization, and a non-Hermitian phantom
- Metastability and small eigenvalues in Markov chains
- Metastable states, transitions, basins and borders at finite temperatures
- Counting metastable states in a kinetically constrained model using a patch repetition analysis
Cited by in corpus (9)
- Bounds in Nonequilibrium Quantum Dynamics
- Symmetrized Liouvillian Gap in Markovian Open Quantum Systems
- Solvable non-Hermitian skin effect in many-body unitary dynamics
- Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect
- 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