Dynamical universality classes towards an infinite temperature state

Abstract

Dynamical universality is the observation that the dynamical properties of different systems might exhibit universal behavior that are independent of the system details. In this paper, we study the long-time dynamics of an one-dimensional noisy quantum magnetic model, and find that even though the system are inevitably driven to an infinite temperature state, the relaxation dynamics towards such featureless state can be highly nontrivial and universal. The effect of various mode-coupling mechanisms (external potential, disorder, interaction, and the interplay between them) as well as the conservation law on the long-time dynamics of the systems have been studied, and their relevance with current ultracold atomic experiments have been discussed.

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• Chaos and Ergodicity in Extended Quantum Systems with Noisy Driving
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• Rise and fall, and slow rise again, of operator entanglement under dephasing
• Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
• Dynamical relaxation behaviors of a critical quench
• A $\frac{1}{3}$ power-law universality class out of stochastic driving in interacting systems
• Localization of matter waves in lattice systems with moving disorder
• Eigenstate properties of the disordered Bose-Hubbard chain
• Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
• Dephasing-assisted diffusive dynamics in superconducting quantum circuits
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• Measurement-induced phase transition in periodically driven free-fermionic systems
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Anderson and many-body localization in the presence of spatially correlated classical noise