Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems

Abstract

Research on the emergence of thermodynamics in closed quantum systems under unitary time evolution arrived at the consensus that generic systems equilibrate under rather general assumptions. A new focus of the field is thus on exceptions. Persistent oscillations are one possible hallmark of non-ergodic time evolution. While time-crystalline behavior results from, e.g., many-body localization, here we show that ever-revolving solitary waves emerge in flatband Heisenberg quantum spin systems. This phenomenon is rather general for a variety of frustrated spin systems in one, two, and three dimensions as well as for Hubbard systems.

7 pages, 7 figures

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Cited by in corpus (5)

• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Weak ergodicity breaking with isolated integrable sectors
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain
• Non-ergodic one-magnon magnetization dynamics of the kagome lattice antiferromagnet
• Nontrivial damping of magnetization currents in perturbed spin chains