1,021 research outputs found
An Experiment Combining Specialization with Abstract Interpretation
It was previously shown that control-flow refinement can be achieved by a
program specializer incorporating property-based abstraction, to improve
termination and complexity analysis tools. We now show that this purpose-built
specializer can be reconstructed in a more modular way, and that the previous
results can be achieved using an off-the-shelf partial evaluation tool, applied
to an abstract interpreter. The key feature of the abstract interpreter is the
abstract domain, which is the product of the property-based abstract domain
with the concrete domain. This language-independent framework provides a
practical approach to implementing a variety of powerful specializers, and
contributes to a stream of research on using interpreters and specialization to
achieve program transformations.Comment: In Proceedings VPT/HCVS 2020, arXiv:2008.0248
Quantum critical behavior in strongly interacting Rydberg gases
We study the appearance of correlated many-body phenomena in an ensemble of
atoms driven resonantly into a strongly interacting Rydberg state. The ground
state of the Hamiltonian describing the driven system exhibits a second order
quantum phase transition. We derive the critical theory for the quantum phase
transition and show that it describes the properties of the driven Rydberg
system in the saturated regime. We find that the suppression of Rydberg
excitations known as blockade phenomena exhibits an algebraic scaling law with
a universal exponent.Comment: 4 pages, 3 figures, published versio
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