Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aperiodically driven integrable systems and their emergent steady states   Does a closed quantum many-body system that is continually driven with a
time-dependent Hamiltonian finally reach a steady state? This question has only
recently been answered for driving protocols that are periodic in time, where
the long time behavior of the local properties synchronize with the drive and
can be described by an appropriate periodic ensemble. Here, we explore the
consequences of breaking the time-periodic structure of the drive with
additional aperiodic noise in a class of integrable systems. We show that the
resulting unitary dynamics leads to new emergent steady states in at least two
cases. While any typical realization of random noise causes eventual heating to
an infinite temperature ensemble for all local properties in spite of the
system being integrable, noise which is self-similar in time leads to an
entirely different steady state, which we dub as "geometric generalized Gibbs
ensemble", that emerges only after an astronomically large time scale. To
understand the approach to steady state, we study the temporal behavior of
certain coarse-grained quantities in momentum space that fully determine the
reduced density matrix for a subsystem with size much smaller than the total
system. Such quantities provide a concise description for any drive protocol in
integrable systems that are reducible to a free fermion representation.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: astro-ph