SciPost Phys. 7, 005 (2019) ·
published 8 July 2019

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We investigate the dynamics of bipartite entanglement after the sudden
junction of two leads in interacting integrable models. By combining the
quasiparticle picture for the entanglement spreading with Generalised
Hydrodynamics we derive an analytical prediction for the dynamics of the
entanglement entropy between a finite subsystem and the rest. We find that the
entanglement rate between the two leads depends only on the physics at the
interface and differs from the rate of exchange of thermodynamic entropy. This
contrasts with the behaviour in free or homogeneous interacting integrable
systems, where the two rates coincide.
SciPost Phys. 6, 059 (2019) ·
published 15 May 2019

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We consider the time evolution of a state in an isolated quantum spin lattice
system with energy cumulants proportional to the number of the sites $L^d$. We
compute the distribution of the eigenvalues of the time averaged state over a
time window $[t_0,t_0+t]$ in the limit of large $L$. This allows us to infer
the size of a subspace that captures time evolution in $[t_0,t_0+t]$ with an
accuracy $1\epsilon$. We estimate the size to be $
\frac{\sqrt{2\mathfrak{e}_2}}{\pi}\mathrm{erf}^{1}(1\epsilon)
L^{\frac{d}{2}}t$, where $\mathfrak{e}_2$ is the energy variance per site, and
$\mathrm{erf}^{1}$ is the inverse error function.
Theses
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Dr Fagotti: "I thank the referee for readin..."
in Report on On the size of the space spanned by a nonequilibrium state in a quantum spin lattice system