Prethermalization in periodically-driven nonreciprocal many-body spin systems

Autor: McRoberts, Adam J., Zhao, Hongzheng, Moessner, Roderich, Bukov, Marin
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. Research 5, 043008 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevResearch.5.043008
Popis: We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the dynamics of the system cannot be derived from any time-dependent Hamiltonian. In the high-frequency limit, we find that the magnetization dynamics features a long-lived metastable plateau, whose duration is controlled by the fourth power of the drive frequency. However, due to the lack of an effective Hamiltonian, the prethermal state the system evolves into cannot be understood within the framework of the canonical ensemble. We propose a Hamiltonian extension of the system using auxiliary degrees of freedom, in which the original spins constitute an open yet nondissipative subsystem. This allows us to perturbatively derive effective equations of motion that manifestly display symplecticity breaking at leading order in the inverse frequency. We thus extend the notion of prethermal dynamics, observed in the high-frequency limit of periodically-driven systems, to nonreciprocal systems.
Comment: 5 + 11 pages
Databáze: arXiv