Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement and dynamics of diffusion-annihilation processes with
  Majorana defects   Coupling a many-body system to a thermal environment typically destroys the
quantum coherence of its state, leading to an effective classical dynamics at
the longest time scales. We show that systems with anyon-like defects can
exhibit universal late-time dynamics that is stochastic, but fundamentally
non-classical, because some of the quantum information about the state is
topologically protected from the environment.
  Our coarse-grained model describes one-dimensional systems with domain-wall
defects carrying Majorana modes. These defects undergo Brownian motion due to
coupling with a bath. Since the fermion parity of a given pair of defects is
nonlocal, it cannot be measured by the bath until the two defects happen to
come into contact. We examine how such a system anneals to zero temperature via
the diffusion and pairwise annihilation of Majorana defects, and we
characterize the nontrivial entanglement structure that arises in such
stochastic processes.
  Separately, we also investigate simplified "quantum measurement circuits" in
one or more dimensions, involving repeated pairwise measurement of fermion
parities for a lattice of Majoranas. The dynamics of these circuits can be
solved by exact mappings to classical loop models. They yield analytically
tractable examples of measurement-induced phase transitions, with critical
entanglement structures that are governed by nonunitary conformal fixed points.
  In the system of diffusing and annihilating Majorana defects, the relaxation
to the ground state is analogous to coarsening in a classical 1D Ising model
via domain wall annihilation. Here, however, configurations are labeled not
only by the defect positions but by a nonlocal entanglement structure. The
resulting dynamical process is a new universality class for the coarsening of
topological domain walls, whose universal properties can be obtained from an
exact mapping.

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an