Universal Entanglement Dynamics following a Local Quench
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 u...
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| Published in | SciPost physics Vol. 3; no. 1; p. 001 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Netherlands
Stichting SciPost
01.07.2017
SciPost |
| Online Access | Get full text |
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| Summary: | 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 cross-over formula
S=F(tT_K)
S
=
F
(
t
T
K
)
,
where
T_K
T
K
is the crossover (Kondo) temperature: the function
F
F
describes the dynamical “healing” of the system at large times. We
discuss how to obtain analytic information about
F
F
in the case of an integrable quantum impurity problem using the massless
Form-Factors formalism for twist and boundary condition changing
operators. Our results are confirmed by density matrix renormalization
group calculations and exact free fermion numerics. |
|---|---|
| Bibliography: | USDOE FG03-01ER45908 |
| ISSN: | 2542-4653 2542-4653 |
| DOI: | 10.21468/SciPostPhys.3.1.001 |