Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator Spreading in the Memory Matrix Formalism   The spread and scrambling of quantum information is a topic of considerable
current interest. Numerous studies suggest that quantum information evolves
according to hydrodynamical equations of motion, even though it is a starkly
different quantity to better-known hydrodynamical variables such as charge and
energy. In this work we show that the well-known memory matrix formalism for
traditional hydrodynamics can be applied, with relatively little modification,
to the question of operator growth in many-body quantum systems. On a
conceptual level, this shores up the connection between information scrambling
and hydrodynamics. At a practical level, it provides a framework for
calculating quantities related to operator growth like the butterfly velocity
and front diffusion constant, and for understanding how these quantities are
constrained by microscopic symmetries. We apply this formalism to calculate
operator-hydrodynamical coefficients perturbatively in a family of Floquet
models. Our formalism allows us to identify the processes affecting information
transport that arise from the spatiotemporal symmetries of the model.

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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: eess