Engineering Hierarchical Symmetries

• URL: http://arxiv.org/abs/2402.13519v2
• Date: Thu, 26 Sep 2024 04:50:34 GMT
• Title: Engineering Hierarchical Symmetries
• Authors: Zhanpeng Fu, Roderich Moessner, Hongzheng Zhao, Marin Bukov,
• Abstract summary: We present a general driving protocol for many-body systems to generate a sequence of prethermal regimes. We provide an explicit construction of effective Hamiltonians exhibiting these symmetries.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a general driving protocol for many-body systems to generate a sequence of prethermal regimes, each exhibiting a lower symmetry than the preceding one. We provide an explicit construction of effective Hamiltonians exhibiting these symmetries. This imprints emergent quasi-conservation laws hierarchically, enabling us to engineer the respective symmetries and concomitant orders in nonequilibrium matter. We provide explicit examples, including spatiotemporal and topological phenomena, as well as a spin chain realizing the symmetry ladder $\text{SU(2)}{\rightarrow}\text{U(1)} {\rightarrow} \mathbb{Z}_2{\rightarrow} E$.

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