SciPost Phys. 3, 001 (2017) ·
published 6 July 2017

· pdf
We study the time dependence of the entanglement between two quantum wires
after suddenly connecting them via tunneling through an impurity. The result at
large times is given by the well known formula $S(t) \approx {1\over 3}\ln
{t}$. We show that the intermediate time regime can be described by a universal
crossover formula $S=F(tT_K)$, where $T_K$ is the crossover (Kondo)
temperature: the function $F$ describes the dynamical "healing" of the system
at large times. We discuss how to obtain analytic information about $F$ in the
case of an integrable quantum impurity problem using the massless FormFactors
formalism for twist and boundary condition changing operators. Our results are
confirmed by density matrix renormalization group calculations and exact free
fermion numerics.
Eric Vernier, Jesper Lykke Jacobsen, Hubert Saleur
SciPost Phys. 2, 004 (2017) ·
published 21 February 2017

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We revisit the phase diagram of spin1 $su(2)_k$ anyonic chains, originally
studied by Gils {\it et. al.} [Phys. Rev. B, {\bf 87} (23) (2013)]. These
chains possess several integrable points, which were overlooked (or only
briefly considered) so far.
Exploiting integrability through a combination of algebraic techniques and
exact Bethe ansatz results, we establish in particular the presence of new
first order phase transitions, a new critical point described by a $Z_k$
parafermionic CFT, and of even more phases than originally conjectured. Our
results leave room for yet more progress in the understanding of spin1 anyonic
chains.