Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on Energy Absorption and Prethermalization in Quantum Systems
  with Long-Range Interactions   Long-range interacting systems such as nitrogen vacancy centers in diamond
and trapped ions serve as useful experimental setups to probe a range of
nonequilibrium many-body phenomena. In particular, via driving, various
effective Hamiltonians with physics potentially quite distinct from short-range
systems can be realized. In this Letter, we derive general bounds on the linear
response energy absorption rates of periodically driven systems of spins or
fermions with long-range interactions that are sign changing and fall off as
$1/r^\alpha$ with $\alpha > d/2$. We show that the disordered averaged energy
absorption rate at high temperature decays exponentially with the driving
frequency. This strongly suggests the presence of a prethermal plateau in which
dynamics is governed by an effective, static Hamiltonian for long times, and we
provide numerical evidence to support such a statement. Our results are
relevant for understanding timescales of both heating and hence new dynamical
regimes described by effective Hamiltonians in such long-range systems.

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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph