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• W3092157811 abstract "We derive a complete classification of Floquet phases of interacting bosons and fermions with $U(1)$ symmetry in two spatial dimensions. According to our classification, there is a one-to-one correspondence between these Floquet phases and rational functions $ensuremath{pi}(z)=a(z)/b(z)$, where $a(z)$ and $b(z)$ are polynomials obeying certain conditions and $z$ is a formal parameter. The physical meaning of $ensuremath{pi}(z)$ involves the stroboscopic edge dynamics of the corresponding Floquet system: in the case of bosonic systems, $ensuremath{pi}(z)=frac{p}{q}ifmmodecdotelsetextperiodcenteredfi{}stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{pi}}(z)$, where $frac{p}{q}$ is a rational number that characterizes the flow of quantum information at the edge during each driving period and $stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{pi}}(z)$ is a rational function which characterizes the flow of $U(1)$ charge at the edge. A similar decomposition exists in the fermionic case. We also show that $stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{pi}}(z)$ is directly related to the time-averaged $U(1)$ current that flows in a particular geometry. This $U(1)$ current is a generalization of the quantized current and quantized magnetization density found in previous studies of noninteracting fermionic Floquet phases." @default.
• W3092157811 created "2020-10-15" @default.
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• W3092157811 date "2021-02-02" @default.
• W3092157811 modified "2023-10-03" @default.
• W3092157811 title "Classification of interacting Floquet phases with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> symmetry in two dimensions" @default.
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• W3092157811 doi "https://doi.org/10.1103/physrevb.103.064302" @default.
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