Prethermalization in periodically-driven nonreciprocal many-body spin
systems
- URL: http://arxiv.org/abs/2208.09005v3
- Date: Wed, 8 Nov 2023 14:13:37 GMT
- Title: Prethermalization in periodically-driven nonreciprocal many-body spin
systems
- Authors: Adam J. McRoberts, Hongzheng Zhao, Roderich Moessner, and Marin Bukov
- Abstract summary: We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems.
We find that the magnetization dynamics features a long-lived metastable plateau, whose duration is controlled by the fourth power of the drive frequency.
We extend the notion of prethermal dynamics, observed in the high-frequency limit of periodically-driven systems, to nonreciprocal systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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