Engineering Hierarchical Symmetries
The capacity to custom tailor the properties of quantum matter and materials is a central requirement for enlarging their range of possible functionalities. A particularly promising route is the use of driving protocols to engineer specific desired properties with a high degree of control and flexib...
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| Published in | Physical review. X Vol. 14; no. 4; p. 041070 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
American Physical Society
01.12.2024
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| Online Access | Get full text |
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| Summary: | The capacity to custom tailor the properties of quantum matter and materials is a central requirement for enlarging their range of possible functionalities. A particularly promising route is the use of driving protocols to engineer specific desired properties with a high degree of control and flexibility. Here, we present such a program for the tunable generation of sequences of symmetries on controllable timescales. Concretely, our general driving protocol for many-body systems generates 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, which imprints emergent quasiconservation 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
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. Our results have direct applications in experiments with quantum simulators. |
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| ISSN: | 2160-3308 2160-3308 |
| DOI: | 10.1103/PhysRevX.14.041070 |