Universal long-time behavior of stochastically driven interacting quantum systems

Abstract

One of the most important concepts in non-equilibrium physics is relaxation. In the vicinity of a classical critical point, the relaxation time can diverge and result in a universal power-law for the relaxation dynamics; the emerging classification of the dynamic universality class has been elucidated by Hohenberg and Halperin. In this paper, we systematically study the long-time relaxation dynamics in stochastically driven interacting quantum systems. We find that even though the stochastic forces will inevitably drive the systems into a featureless infinite temperature state, the way to approach the steady state can be highly nontrivial and exhibit rich universal dynamical behavior determined by the interplay between the stochastic driving and quantum many-body effects. We investigate the dynamical universality class by including different types of perturbations. The heating dynamics of a Hamiltonian with locally unbounded Hilbert space is also studied.

13 pages

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Cited by in corpus (8)

• Restoring coherence via aperiodic drives in a many-body quantum system
• Statistical periodicity in driven quantum systems: General formalism and application to noisy Floquet topological chains
• A $\frac{1}{3}$ power-law universality class out of stochastic driving in interacting systems
• Dynamical relaxation behaviors of a critical quench
• `Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field
• Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
• Critical and near-critical relaxation of holographic superfluids
• Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes