Engineering Hierarchical Symmetries
- URL: http://arxiv.org/abs/2402.13519v1
- Date: Wed, 21 Feb 2024 04:09:23 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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