2024/12/27 by Zhanpeng Fu, Roderich Moessner, Hongzheng Zhao +1 · 1 voice · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems
paper · doi:10.1103/physrevx.14.041070
openalex publication_date 2024/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/22
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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi>SU</a:mi> <a:mo stretchy="false">(</a:mo> <a:mn>2</a:mn> <a:mo stretchy="false">)</a:mo> </a:mrow> <a:mo stretchy="false">→</a:mo> <a:mrow> <a:mi mathvariant="normal">U</a:mi> <a:mo stretchy="false">(</a:mo> <a:mn>1</a:mn> <a:mo stretchy="false">)</a:mo> </a:mrow> <a:mo stretchy="false">→</a:mo> <a:msub> <a:mi mathvariant="double-struck">Z</a:mi> <a:mn>2</a:mn> </a:msub> <a:mo stretchy="false">→</a:mo> <a:mi>E</a:mi> </a:math> . Our results have direct applications in experiments with quantum simulators. Published by the American Physical Society 2024