期刊
PHYSICAL REVIEW LETTERS
卷 125, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.245303
关键词
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资金
- Technical University of Munich-Institute for Advanced Study - German Excellence Initiative
- European Union [291763]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy [EXC-2111-390814868]
- la Caixa Foundation [100010434, PO 1370/2-1, FOR1807]
- DFG [KN1254/1-1, KN1254/1-2, TRR80]
- European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme [771537, 851161]
The presence of global conserved quantities in interacting systems generically leads to diffusive transport at late times. Here, we show that systems conserving the dipole moment of an associated global charge, or even higher-moment generalizations thereof, escape this scenario, displaying subdiffusive decay instead. Modeling the time evolution as cellular automata for specific cases of dipole- and quadrupole conservation, we numerically find distinct anomalous exponents of the late time relaxation. We explain these findings by analytically constructing a general hydrodynamic model that results in a series of exponents depending on the number of conserved moments, yielding an accurate description of the scaling form of charge correlation functions. We analyze the spatial profile of the correlations and discuss potential experimentally relevant signatures of higher-moment conservation.
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