The quasi-particle picture and its breakdown after local quenches:
mutual information, negativity, and reflected entropy
- URL: http://arxiv.org/abs/2008.11266v1
- Date: Tue, 25 Aug 2020 20:47:05 GMT
- Title: The quasi-particle picture and its breakdown after local quenches:
mutual information, negativity, and reflected entropy
- Authors: Jonah Kudler-Flam, Yuya Kusuki, Shinsei Ryu
- Abstract summary: We study the dynamics of (R'enyi) mutual information, logarithmic negativity, and (R'enyi) reflected entropy after exciting the ground state by a local operator.
We are able to conjecture a close-knit structure between the three quantities that emerges in states excited above the vacuum.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the dynamics of (R\'enyi) mutual information, logarithmic
negativity, and (R\'enyi) reflected entropy after exciting the ground state by
a local operator. Together with recent results from Ref. [1], we are able to
conjecture a close-knit structure between the three quantities that emerges in
states excited above the vacuum, including both local and global quantum
quenches. This structure intimately depends on the chaoticity of the theory
i.e. there exist distinct sets of equivalences for integrable and chaotic
theories. For rational conformal field theories (RCFT), we find all quantities
to compute the quantum dimension of the primary operator inserted. In contrast,
we find the correlation measures to grow (logarithmically) without bound in all
$c > 1$ conformal field theories with a finite twist gap. In comparing the
calculations in the two classes of theories, we are able to identify the
dynamical mechanism for the breakdown of the quasi-particle picture in 2D
conformal field theories. Intriguingly, we also find preliminary evidence that
our general lessons apply to quantum systems considerably distinct from
conformal field theories, such as integrable and chaotic spin chains,
suggesting a universality of entanglement dynamics in non-equilibrium systems.
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